 1.1: Solve for the indicated variable. 5x 35
 1.2: Solve for the indicated variable. 4t 32
 1.3: Solve for the indicated variable. 3 n 12
 1.4: Solve for the indicated variable. 4 5 y
 1.5: Solve for the indicated variable. 24 3x
 1.6: Solve for the indicated variable. 50 5t
 1.7: Solve for the indicated variable.
 1.8: Solve for the indicated variable.
 1.9: Solve for the indicated variable. 3x 5 7
 1.10: Solve for the indicated variable. 4p 5 9
 1.11: Solve for the indicated variable. 9m 7 11
 1.12: Solve for the indicated variable. 2x 4 5
 1.13: Solve for the indicated variable. 5t 11 18
 1.14: Solve for the indicated variable. 7x 4 21 24x
 1.15: Solve for the indicated variable. 3x 5 25 6x
 1.16: Solve for the indicated variable. 5x 10 25 2x
 1.17: Solve for the indicated variable. 20n 30 20 5n
 1.18: Solve for the indicated variable. 14c 15 43 7c
 1.19: Solve for the indicated variable. 4(x 3) 2(x 6)
 1.20: Solve for the indicated variable. 5(2y 1) 2(4y 3)
 1.21: Solve for the indicated variable. 3(4t 5) 5(6 2t)
 1.22: Solve for the indicated variable. 2(3n 4) (n 2)
 1.23: Solve for the indicated variable. 2(x 1) 3 x 3(x 1)
 1.24: Solve for the indicated variable. 4(y 6) 8 2y 4(y 2)
 1.25: Solve for the indicated variable. 5p 6(p 7) 3(p 2)
 1.26: Solve for the indicated variable. 3(z 5) 5 4z 7(z 2)
 1.27: Solve for the indicated variable. .
 1.28: Solve for the indicated variable.
 1.29: Solve for the indicated variable.
 1.30: Solve for the indicated variable.
 1.31: Solve for the indicated variable. 2a 9(a 6) 6(a 3) 4a
 1.32: Solve for the indicated variable. 25 [2 5y 3(y 2)] 3(2y 5) [5(y 1) ...
 1.33: Solve for the indicated variable. 32 [4 6x 5(x 4)] 4(3x 4) [6(3x 4)...
 1.34: Solve for the indicated variable. 12 [3 4m 6(3m 2)] 7(2m 8) 3[(m 2)...
 1.35: Solve for the indicated variable. 20 4[c 3 6(2c 3)] 5(3c 2) [2(7c 8...
 1.36: Solve for the indicated variable. 46 [7 8y 9(6y 2)] 7(4y 7) 2[6(2y ...
 1.37: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.38: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.39: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.40: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.41: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.42: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.43: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.44: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.45: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.46: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.47: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.48: Involve fractions. Clear the fractions by rst multiplying by the le...
 1.49: Specify any values that must be excluded from the solution set and ...
 1.50: Specify any values that must be excluded from the solution set and ...
 1.51: Specify any values that must be excluded from the solution set and ...
 1.52: Specify any values that must be excluded from the solution set and ...
 1.53: Specify any values that must be excluded from the solution set and ...
 1.54: Specify any values that must be excluded from the solution set and ...
 1.55: Specify any values that must be excluded from the solution set and ...
 1.56: Specify any values that must be excluded from the solution set and ...
 1.57: Specify any values that must be excluded from the solution set and ...
 1.58: Specify any values that must be excluded from the solution set and ...
 1.59: Specify any values that must be excluded from the solution set and ...
 1.60: Specify any values that must be excluded from the solution set and ...
 1.61: Specify any values that must be excluded from the solution set and ...
 1.62: Specify any values that must be excluded from the solution set and ...
 1.63: Specify any values that must be excluded from the solution set and ...
 1.64: Specify any values that must be excluded from the solution set and ...
 1.65: Specify any values that must be excluded from the solution set and ...
 1.66: Specify any values that must be excluded from the solution set and ...
 1.67: Specify any values that must be excluded from the solution set and ...
 1.68: Specify any values that must be excluded from the solution set and ...
 1.69: Specify any values that must be excluded from the solution set and ...
 1.70: Specify any values that must be excluded from the solution set and ...
 1.71: Temperature. To calculate temperature in degrees Fahrenheit we use ...
 1.72: Geometry. The perimeter P of a rectangle is related to the length L...
 1.73: Costs: Cellular Phone.Your cell phone plan charges $15 a month plus...
 1.74: Costs: Rental Car. Becky rented a car on her Ft. Lauderdale vacatio...
 1.75: Costs: Internet. When traveling in London, Charlotte decided to che...
 1.76: Sales: Income. For a summer job, Dwayne decides to sell magazine su...
 1.77: Business. The operating costs for a local business are a xed amount...
 1.78: Business. Negotiated contracts for a technical support provider pro...
 1.79: Medications are often packaged in liquid form (known as a suspensio...
 1.80: Medicine. Aphysician has ordered a 600milligram dose of amoxicilli...
 1.81: Speed of Light. The frequency f of an optical signal in hertz (Hz) ...
 1.82: Optics. For an object placed near a lens, an image forms on the oth...
 1.83: Explain the mistake that is made. Solve the equation 4x 3 6x 7. Sol...
 1.84: Explain the mistake that is made. Solve the equation 3(x 1) 2 x 3(x...
 1.85: Explain the mistake that is made.Solve the equation .Solution: (p 3...
 1.86: Explain the mistake that is made. Solve the equation .Solution: Mul...
 1.87: Determine whether each of the statements is true or false.The solut...
 1.88: Determine whether each of the statements is true or false.The solut...
 1.89: Determine whether each of the statements is true or false.x 1 is a ...
 1.90: Determine whether each of the statements is true or false.x 1 is a ...
 1.91: Solve for x, given that a, b, and c are real numbers and : ax b c
 1.92: Solve for x, given that a, b, and c are real numbers and : a x b x = c
 1.93: Solve the equation for . Are there anyrestrictions given that
 1.94: Solve the equation for .Does y have any restrictions?
 1.95: Solve for x:.
 1.96: Solve for t:.
 1.97: Solve the equation for x in terms of y:
 1.98: Find the number a for which y 2 is a solution of the equation y a y...
 1.99: Graph the function represented by each side of the equation in the ...
 1.100: Graph the function represented by each side of the equation in the ...
 1.101: Graph the function represented by each side of the equation in the ...
 1.102: Graph the function represented by each side of the equation in the ...
 1.103: Graph the function represented by each side of the equation in the ...
 1.104: Graph the function represented by each side of the equation in the ...
 1.105: Graph the function represented by each side of the equation in the ...
 1.106: Graph the function represented by each side of the equation in the ...
 1.1: Discount Price. Donna redeems a 10% off coupon at her local nursery...
 1.2: Discount Price. The original price of a pair of binoculars is $74. ...
 1.3: Cost: FairShare. Jeff, Tom, and Chelsea order a large pizza. They d...
 1.4: Event Planning. Acouple decide to analyze their monthly spending ha...
 1.5: Discounts. Abuilder of tract homes reduced the price of a model by ...
 1.6: Markups. Acollege bookstore marks up the price it pays the publishe...
 1.7: Puzzle. Angela is on her way from home in Jersey City into New York...
 1.8: Puzzle. An employee at Kennedy Space Center (KSC) lives in Daytona ...
 1.9: Puzzle.Atypical college student spends of her waking time in class,...
 1.10: Diet. Aparticular 1550caloriesperday diet suggests eating breakf...
 1.11: Budget. Acompany has a total of $20,000 allocated for monthly costs...
 1.12: Budget. Awoman decides to start a small business making monogrammed...
 1.13: Numbers. Find a number such that 10 less than the number is the num...
 1.14: Numbers. Find a positive number such that 10 times the number is 16...
 1.15: Numbers. Find two consecutive even integers such that 4 times the s...
 1.16: Numbers. Find three consecutive integers such that the sum of the t...
 1.17: Geometry. Find the perimeter of a triangle if one side is 11 inches...
 1.18: Geometry. Find the dimensions of a rectangle whose length is a foot...
 1.19: Geometry. An NFLplaying eld is a rectangle. The length of the eld (...
 1.20: Geometry. The length of a rectangle is 2 more than 3 times the widt...
 1.21: Geometry. Consider two circles, a smaller one and a larger one. If ...
 1.22: Geometry. The perimeter of a semicircle is doubled when the radius ...
 1.23: Home Improvement. Aman wants to remove a tall pine tree from his ya...
 1.24: Home Improvement. The same man in Exercise 23 realizes he also want...
 1.25: Biology: Alligators. It is common to see alligators in ponds, lakes...
 1.26: Biology: Snakes. In the African rainforest there is a snake called ...
 1.27: Investing. Ashley has $120,000 to invest and decides to put some in...
 1.28: Investing. You inherit $13,000 and you decide to invest the money i...
 1.29: Investing. Wendy was awarded a volleyball scholarship to the Univer...
 1.30: Interest. Ahigh school student was able to save $5000 by working a ...
 1.31: Budget: Home Improvement. When landscaping their yard, a couple bud...
 1.32: Budget: Shopping. At the deli Jennifer bought spicy turkey and prov...
 1.33: Chemistry. For a certain experiment, a student requires 100 millili...
 1.34: Chemistry. How many gallons of pure alcohol must be mixed with 5 ga...
 1.35: Automobiles.Amechanic has tested the amount of antifreeze in your r...
 1.36: Costs: Overhead. Aprofessor is awarded two research grants, each ha...
 1.37: Theater. On the way to the movies a family picks up a custommade b...
 1.38: Coffee. Joy is an instructional assistant in one of the college lab...
 1.39: Communications. The speed of light is approximately 3.0 108 meters ...
 1.40: Speed of Sound. The speed of sound is approximately 760 miles per h...
 1.41: Business. During the month of February 2011, the average price of g...
 1.42: Business. During the Christmas shopping season of 2010, the average...
 1.43: Medicine.Apatient requires an IV of 0.9% saline solution, also know...
 1.44: Medicine.Apatient requires an IVof D5W, a 5% solution of Dextrose (...
 1.45: Boating. Amotorboat can maintain a constant speed of 16 miles per h...
 1.46: Aviation. ACessna 175 can average 130 miles per hour. If a trip tak...
 1.47: Exercise. Ajogger and a walker cover the same distance. The jogger ...
 1.48: Travel. Ahigh school student in Seattle, Washington, attended the U...
 1.49: DistanceRateTime. College roommates leave for their rst class in th...
 1.50: DistanceRateTime.Alongdistance delivery service sends out a truck ...
 1.51: Work. Christopher can paint the interior of his house in 15 hours. ...
 1.52: Work. Jay and Morgan work in the summer for a landscaper. It takes ...
 1.53: Work. Tracey and Robin deliver Coke products to local convenience s...
 1.54: Work. Joshua can deliver his newspapers in 30 minutes. Ittakes Ambe...
 1.55: Music. Amajor chord in music is composed of notes whose frequencies...
 1.56: Music. Aminor chord in music is composed of notes whose frequencies...
 1.57: Grades. Danielles test scores are 86, 80, 84, and 90. The nal exam ...
 1.58: Grades. Sams nal exam will count as two tests. His test scores are ...
 1.59: Sports. In Super Bowl XXXVII, the Tampa Bay Buccaneers scored a tot...
 1.60: Sports. Atight end can run the 100yard dash in 12 seconds. Adefens...
 1.61: Recreation. How do two children of different weights balance on a s...
 1.62: Recreation. Refer to Exercise 61. Suppose Martin, who weighs 33 pou...
 1.63: Recreation. If a seesaw has an adjustable bench, then the board can...
 1.64: Recreation. Add Martin (Exercise 62) to Maxs side of the seesaw and...
 1.65: Refer to this lens law. (See Exercise 82 in Section 1.1.) The posit...
 1.66: Refer to this lens law. (See Exercise 82 in Section 1.1.) The posit...
 1.67: Refer to this lens law. (See Exercise 82 in Section 1.1.) The posit...
 1.68: Refer to this lens law. (See Exercise 82 in Section 1.1.) The posit...
 1.69: Solve each formula for the specied variable.P 2l 2w for w
 1.70: Solve each formula for the specied variable. P 2l 2w for l
 1.71: Solve each formula for the specied variable. for h
 1.72: Solve each formula for the specied variable.C 2pr for r
 1.73: Solve each formula for the specied variable. A lw for w
 1.74: Solve each formula for the specied variable.d rt for t
 1.75: Solve each formula for the specied variable.V lwh for h
 1.76: Solve each formula for the specied variable.V pr2h for h
 1.77: Tricia and Janine are roommates and leave Houston on Interstate 10 ...
 1.78: Rick and Mike are roommates and leave Gainesville on Interstate 75 ...
 1.79: Suppose you bought a house for $132,500 and sold it 3 years later f...
 1.80: Suppose you bought a house for $132,500 and sold it 3 years later f...
 1.81: Agolf club membership has two options. Option Ais a $300 monthly fe...
 1.82: Aphone provider offers two calling plans. Plan Ahas a $30 monthly c...
 1.1: Solve by factoring. x2 5x 6 0
 1.2: Solve by factoring. v2 7v 6 0
 1.3: Solve by factoring. p2 8p 15 0
 1.4: Solve by factoring. u2 2u 24 0
 1.5: Solve by factoring. x2 12 x
 1.6: Solve by factoring. 11x 2x2 12
 1.7: Solve by factoring. 16x2 8x 1
 1.8: Solve by factoring.3x2 10x 8 0
 1.9: Solve by factoring. 9y2 1 6y
 1.10: Solve by factoring. 4x 4x2 1
 1.11: Solve by factoring. 8y2 16y
 1.12: Solve by factoring. 3A2 12A
 1.13: Solve by factoring. 9p2 12p 4
 1.14: Solve by factoring. 4u2 20u 25
 1.15: Solve by factoring. x2 9 0
 1.16: Solve by factoring. 16v2 25 0
 1.17: Solve by factoring. x(x 4) 12
 1.18: Solve by factoring. 3t2 48 0
 1.19: Solve by factoring. 2p2 50 0
 1.20: Solve by factoring. 5y2 45 0
 1.21: Solve by factoring. 3x2 12
 1.22: Solve by factoring. 7v2 28
 1.23: Solve using the square root method. p2 8 0
 1.24: Solve using the square root method. y2 72 0
 1.25: Solve using the square root method. x2 9 0
 1.26: Solve using the square root method. v2 16 0
 1.27: Solve using the square root method. (x 3)2 36
 1.28: Solve using the square root method. (x 1)2 25
 1.29: Solve using the square root method. (2x 3)2 4
 1.30: Solve using the square root method. (4x 1)2 16
 1.31: Solve using the square root method. (5x 2)2 27
 1.32: Solve using the square root method. (3x 8)2 12
 1.33: Solve using the square root method. (1 x)2 9
 1.34: Solve using the square root method. (1 x)2 9
 1.35: What number should be added to complete the square of each expressi...
 1.36: What number should be added to complete the square of each expressi...
 1.37: What number should be added to complete the square of each expressi...
 1.38: What number should be added to complete the square of each expressi...
 1.39: What number should be added to complete the square of each expressi...
 1.40: What number should be added to complete the square of each expression?
 1.41: What number should be added to complete the square of each expression?
 1.42: What number should be added to complete the square of each expression?
 1.43: What number should be added to complete the square of each expressi...
 1.44: What number should be added to complete the square of each expressi...
 1.45: Solve by completing the square. x2 2x 3
 1.46: Solve by completing the square. y2 8y 2 0
 1.47: Solve by completing the square. t2 6t 5
 1.48: Solve by completing the square. x2 10x 21
 1.49: Solve by completing the square. y2 4y 3 0
 1.50: Solve by completing the square. x2 7x 12 0
 1.51: Solve by completing the square. 2p2 8p 3
 1.52: Solve by completing the square. 2x2 4x 3 0
 1.53: Solve by completing the square. 2x2 7x 3 0
 1.54: Solve by completing the square. 3x2 5x 10 0
 1.55: Solve by completing the square. x2 2  2x =1 4
 1.56: Solve by completing the square. t2 3 +2t 3 +5 6 = 0
 1.57: Solve using the Quadratic Formula. t2 3t 1 0
 1.58: Solve using the Quadratic Formula. t2 2t 1
 1.59: Solve using the Quadratic Formula. s2 s 1 0
 1.60: Solve using the Quadratic Formula. 2s2 5s
 1.61: Solve using the Quadratic Formula. 3x2 3x 4 0
 1.62: Solve using the Quadratic Formula. 4x2 2x 7
 1.63: Solve using the Quadratic Formula. x2 2x 17 0
 1.64: Solve using the Quadratic Formula. 4m2 7m 8 0
 1.65: Solve using the Quadratic Formula. 5x2 7x 3
 1.66: Solve using the Quadratic Formula. 3x2 5x 11
 1.67: Solve using the Quadratic Formula. .
 1.68: Solve using the Quadratic Formula. 1 4x2  2 3x  1 3 = 01
 1.69: Determine whether the discriminant is positive, negative, or zero, ...
 1.70: Determine whether the discriminant is positive, negative, or zero, ...
 1.71: Determine whether the discriminant is positive, negative, or zero, ...
 1.72: Determine whether the discriminant is positive, negative, or zero, ...
 1.73: Determine whether the discriminant is positive, negative, or zero, ...
 1.74: Determine whether the discriminant is positive, negative, or zero, ...
 1.75: Solve using any method. v2 8v 20
 1.76: Solve using any method. v2 8v 20
 1.77: Solve using any method. t2 5t 6 0
 1.78: Solve using any method. t2 5t 6 0
 1.79: Solve using any method. (x 3)2 16
 1.80: Solve using any method. (x 3)2 16
 1.81: Solve using any method. (p 2)2 4p
 1.82: Solve using any method. (u 5)2 16u
 1.83: Solve using any method. 8w2 2w 21 0
 1.84: Solve using any method. 8w2 2w 21 0
 1.85: Solve using any method. 3p2 9p 1 0
 1.86: Solve using any method. 3p2 9p 1 0
 1.87: Solve using any method. 2 3t2 +4 3t =1 5
 1.88: Solve using any method. 1 2x2 +2 3x =
 1.89: Solve using any method.
 1.90: Solve using any method.
 1.91: Solve using any method. 5 y + 4= 4 +3 y  24(x  2) x  3+3 x =3 x...
 1.92: Solve using any method. 5 y + 4= 4 +3 y  2
 1.93: Solve using any method. x2 0.1x 0.12
 1.94: Solve using any method. y2 0.5y 0.06
 1.95: Stock Value. From June 2003 until April 2004 JetBlue airlines stock...
 1.96: Stock Value. From November 2003 until March 2004, WalMart stock (W...
 1.97: Business. Find the breakeven point for a month to the nearest unit.
 1.98: Business. Find the production level that produces a monthly prot of...
 1.99: In response to economic conditions, a local business explores the e...
 1.100: In response to economic conditions, a local business explores the e...
 1.101: An epidemiological study of the spread of the u in a small city nds...
 1.102: An epidemiological study of the spread of the u in a small city nds...
 1.103: Environment: Reduce Your Margins, Save a Tree. Lets dene the usable...
 1.104: Environment: Reduce Your Margins, Save a Tree. Repeat Exercise 103 ...
 1.105: Television.Astandard 32inch television has a 32inch diagonal and ...
 1.106: Television.A42inch LCD television has a 42inch diagonal and a 20...
 1.107: Numbers. Find two consecutive numbers such that their sum is 35 and...
 1.108: Numbers. Find two consecutive odd integers such that their sum is 2...
 1.109: Geometry. The area of a rectangle is 135 square feet. The width is ...
 1.110: Geometry. Arectangle has an area of 31.5 square meters. If the leng...
 1.111: Geometry. Atriangle has a height that is 2 more than 3 times the ba...
 1.112: Geometry. Asquares side is increased by 3 yards, which corresponds ...
 1.113: Falling Objects. If a person drops a water balloon off the rooftop ...
 1.114: Falling Objects. If the person in Exercise 113 throws the water bal...
 1.115: Gardening. Asquare garden has an area of 900 square feet. If a spri...
 1.116: Sports. Abaseball diamond is a square. The distance from base to ba...
 1.117: Volume. Aat square piece of cardboard is used to construct an open ...
 1.118: Volume. Arectangular piece of cardboard whose length is twice its w...
 1.119: Gardening. Alandscaper has planted a rectangular garden that measur...
 1.120: Gardening. Agardener has planted a semicircular rose garden with a ...
 1.121: Work. Lindsay and Kimmie, working together, can balance the nancial...
 1.122: Work. When Jack cleans the house, it takes him 4 hours. When Ryan c...
 1.123: Explain the mistake that is made.
 1.124: Explain the mistake that is made.
 1.125: Explain the mistake that is made.
 1.126: Explain the mistake that is made.
 1.127: Determine whether the following statements are true or false. The e...
 1.128: Determine whether the following statements are true or false. The q...
 1.129: Determine whether the following statements are true or false. All q...
 1.130: Determine whether the following statements are true or false. The Q...
 1.131: Write a quadratic equation in general form that has x a as a repeat...
 1.132: Write a quadratic equation in general form that has x bi as a root.
 1.133: Write a quadratic equation in general form that has the solution se...
 1.134: Write a quadratic equation in general form that has the solution se...
 1.135: Solve for the indicated variable in terms of other variables. Solve...
 1.136: Solve for the indicated variable in terms of other variables. Solve...
 1.137: Solve for the indicated variable in terms of other variables. Solve...
 1.138: Solve for the indicated variable in terms of other variables. Solve...
 1.139: Solve the equation by factoring: x4 4x2 0.
 1.140: Solve the equation by factoring: 3x 6x2 0.
 1.141: Solve the equation using factoring by grouping: x3 x2 4x 4 0.
 1.142: Solve the equation using factoring by grouping: x3 2x2 x 2 0.
 1.143: Show that the sum of the roots of a quadratic equation isequal to
 1.144: Show that the product of the roots of a quadratic equation isequal ...
 1.145: Write a quadratic equation in general form whose solution set is
 1.146: Write a quadratic equation in general form whose solution set is {2...
 1.147: Aviation.An airplane takes 1 hour longer to go a distance of 600 mi...
 1.148: Boating. Aspeedboat takes 1 hour longer to go 24 miles up a river t...
 1.149: Find a quadratic equation whose two distinct real roots are the neg...
 1.150: Find a quadratic equation whose two distinct real roots are the rec...
 1.151: Asmall jet and a 757 leave Atlanta at 1 P.M. The small jet is trave...
 1.152: Two boats leave Key West at noon. The smaller boat is traveling due...
 1.153: Solve the equation x2 x 2 by rst writing it in standard form and th...
 1.154: Solve the equation x2 2x 2 by rst writing it in standard form and t...
 1.155: a. Solve the equation x2 2x b, b 8 by rst writing it in standard fo...
 1.156: a. Solve the equation x2 2x b, b 8 by rst writing it in standard fo...
 1.1: Solve the radical equation for the given variable
 1.2: Solve the radical equation for the given variable
 1.3: Solve the radical equation for the given variable
 1.4: Solve the radical equation for the given variable
 1.5: Solve the radical equation for the given variable
 1.6: Solve the radical equation for the given variable
 1.7: Solve the radical equation for the given variable
 1.8: Solve the radical equation for the given variable
 1.9: Solve the radical equation for the given variable
 1.10: Solve the radical equation for the given variable
 1.11: Solve the radical equation for the given variable
 1.12: Solve the radical equation for the given variable
 1.13: Solve the radical equation for the given variable
 1.14: Solve the radical equation for the given variable
 1.15: Solve the radical equation for the given variable
 1.16: Solve the radical equation for the given variable
 1.17: Solve the radical equation for the given variable
 1.18: Solve the radical equation for the given variable
 1.19: Solve the radical equation for the given variable
 1.20: Solve the radical equation for the given variable
 1.21: Solve the radical equation for the given variable
 1.22: Solve the radical equation for the given variable
 1.23: Solve the radical equation for the given variable
 1.24: Solve the radical equation for the given variable
 1.25: Solve the radical equation for the given variable
 1.26: Solve the radical equation for the given variable
 1.27: Solve the radical equation for the given variable
 1.28: Solve the radical equation for the given variable
 1.29: Solve the radical equation for the given variable
 1.30: Solve the radical equation for the given variable
 1.31: Solve the radical equation for the given variable
 1.32: Solve the radical equation for the given variable
 1.33: Solve the radical equation for the given variable
 1.34: Solve the radical equation for the given variable
 1.35: Solve the radical equation for the given variable
 1.36: Solve the radical equation for the given variable
 1.37: Solve the radical equation for the given variable
 1.38: Solve the radical equation for the given variable
 1.39: Solve the radical equation for the given variable
 1.40: Solve the radical equation for the given variable
 1.41: Solve the equations by introducing a substitution that transforms t...
 1.42: Solve the equations by introducing a substitution that transforms t...
 1.43: Solve the equations by introducing a substitution that transforms t...
 1.44: Solve the equations by introducing a substitution that transforms t...
 1.45: Solve the equations by introducing a substitution that transforms t...
 1.46: Solve the equations by introducing a substitution that transforms t...
 1.47: Solve the equations by introducing a substitution that transforms t...
 1.48: Solve the equations by introducing a substitution that transforms t...
 1.49: Solve the equations by introducing a substitution that transforms t...
 1.50: Solve the equations by introducing a substitution that transforms t...
 1.51: Solve the equations by introducing a substitution that transforms t...
 1.52: Solve the equations by introducing a substitution that transforms t...
 1.53: Solve the equations by introducing a substitution that transforms t...
 1.54: Solve the equations by introducing a substitution that transforms t...
 1.55: Solve the equations by introducing a substitution that transforms t...
 1.56: Solve the equations by introducing a substitution that transforms t...
 1.57: Solve the equations by introducing a substitution that transforms t...
 1.58: Solve the equations by introducing a substitution that transforms t...
 1.59: Solve the equations by introducing a substitution that transforms t...
 1.60: Solve the equations by introducing a substitution that transforms t...
 1.61: Solve the equations by introducing a substitution that transforms t...
 1.62: Solve the equations by introducing a substitution that transforms t...
 1.63: Solve the equations by introducing a substitution that transforms t...
 1.64: Solve the equations by introducing a substitution that transforms t...
 1.65: Solve the equations by introducing a substitution that transforms t...
 1.66: Solve the equations by introducing a substitution that transforms t...
 1.67: Solve the equations by introducing a substitution that transforms t...
 1.68: Solve the equations by introducing a substitution that transforms t...
 1.69: Solve the equations by introducing a substitution that transforms t...
 1.70: Solve the equations by introducing a substitution that transforms t...
 1.71: Solve by factoring. x3 x2 12x 0
 1.72: Solve by factoring. 2y3 11y2 12y 0
 1.73: Solve by factoring. 4p3 9p 0
 1.74: Solve by factoring. 25x3 4x
 1.75: Solve by factoring. u5 16u 0
 1.76: Solve by factoring. t5 81t 0
 1.77: Solve by factoring. x3 5x2 9x 45 0
 1.78: Solve by factoring. 2p3 3p2 8p 12 0
 1.79: Solve by factoring. y(y 5)3 14(y 5)2 0
 1.80: Solve by factoring. v(v 3)3 40(v 3)2 0
 1.81: Solve by factoring. x9/4 2x5/4 3x1/4 0
 1.82: Solve by factoring. u7/3 u4/3 20u1/3 0
 1.83: Solve by factoring. t5/3 25t1/3 0
 1.84: Solve by factoring. 4x9/5 9x1/5 0
 1.85: Solve by factoring. y3/2 5y1/2 6y1/2 0
 1.86: Solve by factoring. 4p5/3 5p2/3 6p1/3 0
 1.87: An analysis of sales indicates that demand for a product during a c...
 1.88: An analysis of sales indicates that demand for a product during a c...
 1.89: Body Surface Area (BSA) is used in physiology and medicine for many...
 1.90: Body Surface Area (BSA) is used in physiology and medicine for many...
 1.91: Insurance: Health. Cost for health insurance with a private policy ...
 1.92: Insurance: Life. Cost for life insurance is given by where C is the...
 1.93: Stock Value.The stock price of MGI Pharmaceutical (MOGN) from March...
 1.94: Grades. The average combined math and verbal SAT score of incoming ...
 1.95: Speed of Sound.Aman buys a house with an old well but does not know...
 1.96: Speed of Sound. If the owner of the house in Exercise 91 forgot to ...
 1.97: Physics: Pendulum.The period (T) of a pendulum is related to the le...
 1.98: Physics: Pendulum. The period (T) of a pendulum is related to the l...
 1.99: Einsteins special theory of relativity states that time is relative...
 1.100: Einsteins special theory of relativity states that time is relative...
 1.101: Explain the mistake that is made. Solve the equation Solution:This ...
 1.102: Explain the mistake that is made. Solve the equation Solution:This ...
 1.103: Explain the mistake that is made. Solve the equation x2/3 x1/3 20 0...
 1.104: Explain the mistake that is made. Solve the equation x4 2x2 3. Solu...
 1.105: Determine whethereach statement is true orfalse. The equation (2x 1...
 1.106: Determine whethereach statement is true orfalse. The equation t25 2...
 1.107: Determine whethereach statement is true orfalse. If two solutions a...
 1.108: Determine whethereach statement is true orfalse. Squaring both side...
 1.109: Solve .
 1.110: Solve .
 1.111: Solve the equation without squaring both sides.
 1.112: Solve the equation 3x7/12 x5/6 2x1/3 0.
 1.113: Solve the equation
 1.114: Solve the equation . 3 4 2x2 3
 1.115: Solve the equation Plot both sides of the equation in the same view...
 1.116: Solve the equation Plot both sides of the equation in the same view...
 1.117: Solve the equation Plot both sides of the equationin the same viewi...
 1.118: Solve the equation x1/4 4x1/2 21. Plot both sides of the equation i...
 1.119: Solve the equation Plot both sides of the equation in the same view...
 1.120: Solve the equation Plot both sides of the equation in the same view...
 1.121: Solve the equation Plot both sides of the equation in the same view...
 1.1: Rewrite in interval notation and graph. x3
 1.2: Rewrite in interval notation and graph.x 2
 1.3: Rewrite in interval notation and graph.x 5
 1.4: Rewrite in interval notation and graph.x7
 1.5: Rewrite in interval notation and graph.2 x 3
 1.6: Rewrite in interval notation and graph.4 x 1
 1.7: Rewrite in interval notation and graph.3 x 5
 1.8: Rewrite in interval notation and graph. 0 x 6
 1.9: Rewrite in interval notation and graph. 0 x 0
 1.10: Rewrite in interval notation and graph.7 x 7
 1.11: Rewrite in interval notation and graph. x 6 and x4
 1.12: Rewrite in interval notation and graph.x3 and x 2
 1.13: Rewrite in interval notation and graph. x 6 and x8
 1.14: Rewrite in interval notation and graph. x 8 and x 2
 1.15: Rewrite in interval notation and graph.x4 and x 2
 1.16: Rewrite in interval notation and graph. x5 and x 6
 1.17: Rewrite in set notation. [0, 2)
 1.18: Rewrite in set notation. (0, 3]
 1.19: Rewrite in set notation. (7, 2)
 1.20: Rewrite in set notation. [3, 2]
 1.21: Rewrite in set notation. (, 6]
 1.22: Rewrite in set notation. (5, )
 1.23: Rewrite in set notation. (, )
 1.24: Rewrite in set notation. [4, 4]
 1.25: Write in inequality and interval notation.
 1.26: Write in inequality and interval notation.
 1.27: Write in inequality and interval notation.
 1.28: Write in inequality and interval notation.
 1.29: Write in inequality and interval notation.
 1.30: Write in inequality and interval notation.
 1.31: Write in inequality and interval notation.
 1.32: Write in inequality and interval notation.
 1.33: Graph the indicated set and write as a single interval, if possible.
 1.34: Graph the indicated set and write as a single interval, if possible.
 1.35: Graph the indicated set and write as a single interval, if possible.
 1.36: Graph the indicated set and write as a single interval, if possible.
 1.37: Graph the indicated set and write as a single interval, if possible.
 1.38: Graph the indicated set and write as a single interval, if possible.
 1.39: Graph the indicated set and write as a single interval, if possible.
 1.40: Graph the indicated set and write as a single interval, if possible.
 1.41: Graph the indicated set and write as a single interval, if possible.
 1.42: Graph the indicated set and write as a single interval, if possible.
 1.43: Graph the indicated set and write as a single interval, if possible.
 1.44: Graph the indicated set and write as a single interval, if possible.
 1.45: Graph the indicated set and write as a single interval, if possible.
 1.46: Graph the indicated set and write as a single interval, if possible.
 1.47: Graph the indicated set and write as a single interval, if possible.
 1.48: Graph the indicated set and write as a single interval, if possible.
 1.49: Graph the indicated set and write as a single interval, if possible.
 1.50: Graph the indicated set and write as a single interval, if possible.
 1.51: Write in interval notation.
 1.52: Write in interval notation.
 1.53: Write in interval notation.
 1.54: Write in interval notation.
 1.55: Write in interval notation.
 1.56: Write in interval notation.
 1.57: Write in interval notation.
 1.58: Write in interval notation.
 1.59: Solve and express the solution in interval notation. x 3 7
 1.60: Solve and express the solution in interval notation. x 4 9
 1.61: Solve and express the solution in interval notation. . 3x 2 4
 1.62: Solve and express the solution in interval notation. 3x 7 8
 1.63: Solve and express the solution in interval notation. 5p10
 1.64: Solve and express the solution in interval notation. 4u 12
 1.65: Solve and express the solution in interval notation. 3 2x 7
 1.66: Solve and express the solution in interval notation. 4 3x17
 1.67: Solve and express the solution in interval notation. 1.8x 2.5 3.4
 1.68: Solve and express the solution in interval notation. 2.7x 1.3 6.8
 1.69: Solve and express the solution in interval notation. 3(t 1) 2t
 1.70: Solve and express the solution in interval notation. 2(y 5) 3(y 4)
 1.71: Solve and express the solution in interval notation. 7 2(1 x) 5 3(x2)
 1.72: Solve and express the solution in interval notation. 4 3(2 x) 5
 1.73: Solve and express the solution in interval notation.
 1.74: Solve and express the solution in interval notation. y  3 5  2 y 4
 1.75: Solve and express the solution in interval notation.
 1.76: Solve and express the solution in interval notation.
 1.77: Solve and express the solution in interval notation.
 1.78: Solve and express the solution in interval notation.
 1.79: Solve and express the solution in interval notation. 2 x 3 5
 1.80: Solve and express the solution in interval notation. 1 x 6 12
 1.81: Solve and express the solution in interval notation. 8 4 2x 8
 1.82: Solve and express the solution in interval notation. 0 2 x 5
 1.83: Solve and express the solution in interval notation. 3 1 x 9
 1.84: Solve and express the solution in interval notation. 3 2 5x 13
 1.85: Solve and express the solution in interval notation.
 1.86: Solve and express the solution in interval notation.
 1.87: Solve and express the solution in interval notation. 1 2 1 + y 3 3 4
 1.88: Solve and express the solution in interval notation.
 1.89: Solve and express the solution in interval notation. 0.7 0.4x 1.1 1.3
 1.90: Solve and express the solution in interval notation.7.1 4.7 1.2x1.1
 1.91: Weight. A healthy weight range for a woman is given by the followin...
 1.92: Weight. NASA has more stringent weight allowances for its astronaut...
 1.93: Prot. A seamstress decides to open a dress shop. Her xed costs are ...
 1.94: Prot. Labrador retrievers that compete in eld trials typically cost...
 1.95: The annual revenue for a small company is modeled bywhere x is hund...
 1.96: The annual revenue for a small company is modeled bywhere x is hund...
 1.97: The Target or Training Heart Rate (THR) is a range of heart rate (m...
 1.98: The Target or Training Heart Rate (THR) is a range of heart rate (m...
 1.99: Cost: Cell Phones. A cell phone company charges $50 for an 800minu...
 1.100: Cost: Internet. An Internet provider charges $30 per month for 1000...
 1.101: Grades. In your general biology class, your rst three test scores a...
 1.102: Grades. In your Economics I class there are four tests and a nal ex...
 1.103: Markups. Typical markup on new cars is 1530%. If the sticker price ...
 1.104: Markups. Repeat Exercise 103 with a sticker price of $42,599.
 1.105: Lasers. A circular laser beam with a radius rT is transmitted from ...
 1.106: Electronics: Communications. Communication systems are often evalua...
 1.107: Real Estate. The Aguileras are listing their house with a real esta...
 1.108: Humidity. The National Oceanic and Atmospheric Administration (NOAA...
 1.109: Recreation: Golf. Two friends enjoy playing golf. Their favorite co...
 1.110: Recreation: Golf. The same friends in Exercise 109 have a second fa...
 1.111: Federal Income Tax. What is the range of federal income taxes a per...
 1.112: Federal Income Tax. What is the range of federal income taxes a per...
 1.113: Explain the mistake that is made. Rewrite in interval notation.This...
 1.114: Explain the mistake that is made. Graph the indicated set and write...
 1.115: Explain the mistake that is made. Solve the inequality 2 3p 4 and e...
 1.116: Explain the mistake that is made. Solve the inequality 3 2x 7 and e...
 1.117: Determine whether each statement is true or false.If x a, then ax.
 1.118: Determine whether each statement is true or false.If xa, then xa.
 1.119: Select any of the statements a d that could be true. a. m 0 and n 0...
 1.120: Select any of the statements a d that could be true. a. m 0 and n 0...
 1.121: Select any of the statements a d that could be true. a. m 0 and n 0...
 1.122: Select any of the statements a d that could be true. a. m 0 and n 0...
 1.123: Select any of the statements a c that could be true. a. n 0 b. n 0 ...
 1.124: Select any of the statements a c that could be true. a. n 0 b. n 0 ...
 1.125: Solve the inequality x x mentally (without doing any algebraic mani...
 1.126: Solve the inequality x
 1.127: Solve the inequality ax b ax c, where 0 b c.
 1.128: Solve the inequality ax b ax c, where 0 b c.
 1.129: a. Solve the inequality 2.7x 3.1 9.4x 2.5. b. Graph each side of th...
 1.130: a. Solve the inequality 0.5x 2.7
 1.131: a. Solve the inequality x 3 2x 1 x 4. b. Graph all three expression...
 1.132: a. Solve the inequality x 2 3x 4 2x 6. b. Graph all three expressio...
 1.133: a. Solve the inequality x 3 x 5. b. Graph each side of the inequali...
 1.134: a. Solve the inequality . b. Graph each side of the inequality in t...
 1.1: Solve the polynomial inequality and express the solution set in int...
 1.2: Solve the polynomial inequality and express the solution set in int...
 1.3: Solve the polynomial inequality and express the solution set in int...
 1.4: Solve the polynomial inequality and express the solution set in int...
 1.5: Solve the polynomial inequality and express the solution set in int...
 1.6: Solve the polynomial inequality and express the solution set in int...
 1.7: Solve the polynomial inequality and express the solution set in int...
 1.8: Solve the polynomial inequality and express the solution set in int...
 1.9: Solve the polynomial inequality and express the solution set in int...
 1.10: Solve the polynomial inequality and express the solution set in int...
 1.11: Solve the polynomial inequality and express the solution set in int...
 1.12: Solve the polynomial inequality and express the solution set in int...
 1.13: Solve the polynomial inequality and express the solution set in int...
 1.14: Solve the polynomial inequality and express the solution set in int...
 1.15: Solve the polynomial inequality and express the solution set in int...
 1.16: Solve the polynomial inequality and express the solution set in int...
 1.17: Solve the polynomial inequality and express the solution set in int...
 1.18: Solve the polynomial inequality and express the solution set in int...
 1.19: Solve the polynomial inequality and express the solution set in int...
 1.20: Solve the polynomial inequality and express the solution set in int...
 1.21: Solve the polynomial inequality and express the solution set in int...
 1.22: Solve the polynomial inequality and express the solution set in int...
 1.23: Solve the polynomial inequality and express the solution set in int...
 1.24: Solve the polynomial inequality and express the solution set in int...
 1.25: Solve the polynomial inequality and express the solution set in int...
 1.26: Solve the polynomial inequality and express the solution set in int...
 1.27: Solve the polynomial inequality and express the solution set in int...
 1.28: Solve the polynomial inequality and express the solution set in int...
 1.29: Solve the rational inequality and graph the solution on the real nu...
 1.30: Solve the rational inequality and graph the solution on the real nu...
 1.31: Solve the rational inequality and graph the solution on the real nu...
 1.32: Solve the rational inequality and graph the solution on the real nu...
 1.33: Solve the rational inequality and graph the solution on the real nu...
 1.34: Solve the rational inequality and graph the solution on the real nu...
 1.35: Solve the rational inequality and graph the solution on the real nu...
 1.36: Solve the rational inequality and graph the solution on the real nu...
 1.37: Solve the rational inequality and graph the solution on the real nu...
 1.38: Solve the rational inequality and graph the solution on the real nu...
 1.39: Solve the rational inequality and graph the solution on the real nu...
 1.40: Solve the rational inequality and graph the solution on the real nu...
 1.41: Solve the rational inequality and graph the solution on the real nu...
 1.42: Solve the rational inequality and graph the solution on the real nu...
 1.43: Solve the rational inequality and graph the solution on the real nu...
 1.44: Solve the rational inequality and graph the solution on the real nu...
 1.45: Solve the rational inequality and graph the solution on the real nu...
 1.46: Solve the rational inequality and graph the solution on the real nu...
 1.47: Solve the rational inequality and graph the solution on the real nu...
 1.48: Solve the rational inequality and graph the solution on the real nu...
 1.49: Solve the rational inequality and graph the solution on the real nu...
 1.50: Solve the rational inequality and graph the solution on the real nu...
 1.51: Solve the rational inequality and graph the solution on the real nu...
 1.52: Solve the rational inequality and graph the solution on the real nu...
 1.53: Solve the rational inequality and graph the solution on the real nu...
 1.54: Solve the rational inequality and graph the solution on the real nu...
 1.55: Solve the rational inequality and graph the solution on the real nu...
 1.56: Solve the rational inequality and graph the solution on the real nu...
 1.57: Solve the rational inequality and graph the solution on the real nu...
 1.58: Solve the rational inequality and graph the solution on the real nu...
 1.59: Prot. A Webbased embroidery company makes monogrammed napkins. The...
 1.60: Prot. Repeat Exercise 59 using P x2 130x 3600.
 1.61: Car Value. The term upside down on car payments refers to owing mor...
 1.62: Car Value. Repeat Exercise 61 using the expression
 1.63: Bullet Speed. A .22caliber gun res a bullet at a speed of 1200 fee...
 1.64: Bullet Speed. A .38caliber gun res a bullet at a speed of 600 feet...
 1.65: Geometry. A rectangular area is fenced in with 100 feet of fence. I...
 1.66: Stock Value. From June 2003 until April 2004, JetBlue airlines stoc...
 1.67: In response to economic conditions, a local business explores the e...
 1.68: In response to economic conditions, a local business explores the e...
 1.69: Real Estate. A woman is selling a piece of land that she advertises...
 1.70: Real Estate. A woman is selling a piece of land that she advertises...
 1.71: Explain the mistake that is made.Solve the inequality 3x x2. Soluti...
 1.72: Explain the mistake that is made. Solve the inequality u2 25. Solut...
 1.73: Explain the mistake that is made. Solve the inequality Solution: Fa...
 1.74: Explain the mistake that is made. Solve the inequality Solution: Cr...
 1.75: Determine whether each statement is true or false. Assume that a is...
 1.76: Determine whether each statement is true or false. Assume that a is...
 1.77: Assume the quadratic inequality ax2 bx c 0 is true. If b2 4ac 0, th...
 1.78: Assume the quadratic inequality ax2 bx c
 1.79: Solve for x given that a and b are both positive real numbers.x2 a2
 1.80: Solve for x given that a and b are both positive real numbers.x2  ...
 1.81: Solve for x given that a and b are both positive real numbers.
 1.82: Solve for x given that a and b are both positive real numbers.
 1.83: Plot the left side and the right side of each inequality in the sam...
 1.84: Plot the left side and the right side of each inequality in the sam...
 1.85: Plot the left side and the right side of each inequality in the sam...
 1.86: Plot the left side and the right side of each inequality in the sam...
 1.87: Plot the left side and the right side of each inequality in the sam...
 1.88: Plot the left side and the right side of each inequality in the sam...
 1.89: Plot the left side and the right side of each inequality in the sam...
 1.90: Plot the left side and the right side of each inequality in the sam...
 1.1: Solve the equation. x 3
 1.2: Solve the equation. x 2
 1.3: Solve the equation. x 4
 1.4: Solve the equation. x 2
 1.5: Solve the equation. t 3 2
 1.6: Solve the equation. t 3 2
 1.7: Solve the equation. p 7 3
 1.8: Solve the equation. p 7 3
 1.9: Solve the equation. 4 y 1
 1.10: Solve the equation. 2 y 11
 1.11: Solve the equation. 3x 9
 1.12: Solve the equation. 5x 50
 1.13: Solve the equation. 2x 7 9
 1.14: Solve the equation. 2x 5 7
 1.15: Solve the equation. 3t 9 3
 1.16: Solve the equation. 4t 2 2
 1.17: Solve the equation. 7 2x 9
 1.18: Solve the equation. 6 3y 12
 1.19: Solve the equation. 1 3y 1
 1.20: Solve the equation. 5 x 2
 1.21: Solve the equation. 4.7 2.1x 3.3
 1.22: Solve the equation. 5.2x 3.7 2.4
 1.23: Solve the equation.
 1.24: Solve the equation.
 1.25: Solve the equation. x 5 4 12
 1.26: Solve the equation. x 3 9 2
 1.27: Solve the equation. 3x 2 1 19
 1.28: Solve the equation. 21 x 4 2
 1.29: Solve the equation. 5 7 2 x
 1.30: Solve the equation. 1 3 x 3
 1.31: Solve the equation. 2 p 3 15 5
 1.32: Solve the equation. 8 3 p 4 2
 1.33: Solve the equation. 5y 2 10 4y 2 3
 1.34: Solve the equation. 3 y 9 11 3 y 9
 1.35: Solve the equation. 4 x2 1
 1.36: Solve the equation. 7 x2 3
 1.37: Solve the equation. x2 1 5
 1.38: Solve the equation. x2 1 5
 1.39: Solve the inequality and express the solution in interval notation....
 1.40: Solve the inequality and express the solution in interval notation....
 1.41: Solve the inequality and express the solution in interval notation....
 1.42: Solve the inequality and express the solution in interval notation....
 1.43: Solve the inequality and express the solution in interval notation....
 1.44: Solve the inequality and express the solution in interval notation....
 1.45: Solve the inequality and express the solution in interval notation....
 1.46: Solve the inequality and express the solution in interval notation....
 1.47: Solve the inequality and express the solution in interval notation....
 1.48: Solve the inequality and express the solution in interval notation....
 1.49: Solve the inequality and express the solution in interval notation....
 1.50: Solve the inequality and express the solution in interval notation....
 1.51: Solve the inequality and express the solution in interval notation....
 1.52: Solve the inequality and express the solution in interval notation....
 1.53: Solve the inequality and express the solution in interval notation....
 1.54: Solve the inequality and express the solution in interval notation....
 1.55: Solve the inequality and express the solution in interval notation....
 1.56: Solve the inequality and express the solution in interval notation....
 1.57: Solve the inequality and express the solution in interval notation....
 1.58: Solve the inequality and express the solution in interval notation....
 1.59: Solve the inequality and express the solution in interval notation....
 1.60: Solve the inequality and express the solution in interval notation....
 1.61: Solve the inequality and express the solution in interval notation....
 1.62: Solve the inequality and express the solution in interval notation....
 1.63: Solve the inequality and express the solution in interval notation....
 1.64: Solve the inequality and express the solution in interval notation....
 1.65: Solve the inequality and express the solution in interval notation.
 1.66: Solve the inequality and express the solution in interval notation.
 1.67: Solve the inequality and express the solution in interval notation....
 1.68: Solve the inequality and express the solution in interval notation....
 1.69: Solve the inequality and express the solution in interval notation....
 1.70: Solve the inequality and express the solution in interval notation....
 1.71: Write an inequality that ts the description. Any real numbers less ...
 1.72: Write an inequality that ts the description. Any real numbers more ...
 1.73: Write an inequality that ts the description. Any real numbers at le...
 1.74: Write an inequality that ts the description. Any real number no mor...
 1.75: Write an inequality that ts the description. Any real numbers no mo...
 1.76: Write an inequality that ts the description. Any real number at lea...
 1.77: Temperature. If the average temperature in Hawaii is 83 ( write an ...
 1.78: Temperature. If the average temperature of a human is 97.8 (1.2), w...
 1.79: Sports. Two women tee off the green of a par3 hole on a golf cours...
 1.80: Electronics. A bandpass lter in electronics allows certain frequen...
 1.81: A company is reviewing revenue for the prior sales year. The model ...
 1.82: A company is reviewing revenue for the prior sales year. The model ...
 1.83: Explain the mistake that is made. Solve the absolute value equation...
 1.84: Explain the mistake that is made. Solve the inequality x 3 7.Solu...
 1.85: Explain the mistake that is made. Solve the inequality 5 2x 1.Sol...
 1.86: Explain the mistake that is made. Solve the equation 5 2x 1.Solut...
 1.87: Determine whether each statement is true or false. m m m
 1.88: Determine whether each statement is true or false. n2 n2
 1.89: Determine whether each statement is true or false. m n m n is...
 1.90: Determine whether each statement is true or false. For what values ...
 1.91: Assuming a and b are real positive numbers, solve the equation or i...
 1.92: Assuming a and b are real positive numbers, solve the equation or i...
 1.93: Assuming a and b are real positive numbers, solve the equation or i...
 1.94: Assuming a and b are real positive numbers, solve the equation or i...
 1.95: Assuming a and b are real positive numbers, solve the equation or i...
 1.96: Assuming a and b are real positive numbers, solve the equation or i...
 1.97: For what values of xdoes the absolute value equation x 1 4 x 2 ...
 1.98: Solve the inequality 3x2 7x 28
 1.99: Graph y1 x 7 and y2 x 7 in the same screen. Do the xvalues where...
 1.100: Graph y1 x 1 and y2 x 2 4 in the same screen. Do the xvalues w...
 1.101: Graph y1 3x2 7x 2 and y2 8 in the same screen. Do the xvalues wh...
 1.102: Solve the inequality 2.7x2 7.9x 5 5.3x2 9.2 by graphing both si...
 1.103: Solve the inequality by graphing both sides of the inequality, and ...
 1.104: Solve the inequality by graphing both sides of the inequality, and ...
 1.1: Solve for the variable. 7x 4 12
 1.2: Solve for the variable. 13d 12 7d 6
 1.3: Solve for the variable. 20p 14 6 5p
 1.4: Solve for the variable. 4(x 7) 4 4
 1.5: Solve for the variable. 3(x 7) 2 4(x 2)
 1.6: Solve for the variable. 7c 3(c 5) 2(c 3) 14
 1.7: Solve for the variable. 14  [3(y  4) + 9] = [4(2y + 3)  6] + 4
 1.8: Solve for the variable. [6  4x + 2(x  7)]  52 = 3(2x  4) + 6[3(...
 1.9: Solve for the variable.
 1.10: Solve for the variable.
 1.11: Solve for the variable.
 1.12: Solve for the variable.
 1.13: Specify any values that must be excluded from the solution set and ...
 1.14: Specify any values that must be excluded from the solution set and ...
 1.15: Specify any values that must be excluded from the solution set and ...
 1.16: Specify any values that must be excluded from the solution set and ...
 1.17: Specify any values that must be excluded from the solution set and ...
 1.18: Specify any values that must be excluded from the solution set and ...
 1.19: Specify any values that must be excluded from the solution set and ...
 1.20: Specify any values that must be excluded from the solution set and ...
 1.21: Solve for the specied variable. Solve for x in terms of y: 3x 2[(y ...
 1.22: Solve for the specied variable. If , nd in terms of x.
 1.23: Transportation. Maria is on her way from her home near Orlando to t...
 1.24: Diet. A particular 2000 calorie per day diet suggests eating breakf...
 1.25: Numbers. Find a number such that 12 more than the number is the num...
 1.26: Numbers. Find four consecutive odd integers such that the sum of th...
 1.27: Geometry. The length of a rectangle is one more than two times the ...
 1.28: Geometry. Find the perimeter of a triangle if one side is 10 inches...
 1.29: Investments. You win $25,000 and you decide to invest the money in ...
 1.30: Investments. A college student on summer vacation was able to make ...
 1.31: Chemistry. For an experiment, a student requires 150 milliliters of...
 1.32: Chemistry. A mixture containing 8% salt is to be mixed with 4 ounce...
 1.33: Grades. Going into the College Algebra nal exam, which will count a...
 1.34: Car Value. A car salesperson reduced the price of a model car by 20...
 1.35: Solve by factoring. b2 4b 21
 1.36: Solve by factoring. x(x 3) 54
 1.37: Solve by factoring. x2 8
 1.38: Solve by factoring. 6y2 7y 5 0
 1.39: Solve by the square root method. q2 169 0
 1.40: Solve by the square root method. c2 36 0
 1.41: Solve by the square root method. (2x 4)2 64
 1.42: Solve by the square root method. (d 7)2 4 0
 1.43: Solve by completing the square. x2 4x 12 0
 1.44: Solve by completing the square. 2x2 5x 7 0
 1.45: Solve by completing the square.
 1.46: Solve by completing the square. 8m m2 15
 1.47: Solve by the Quadratic Formula. 3t2 4t 7
 1.48: Solve by the Quadratic Formula. 4x2 5x 7 0
 1.49: Solve by the Quadratic Formula.
 1.50: Solve by the Quadratic Formula. x2 6x 6
 1.51: Solve by any method.
 1.52: Solve by any method.
 1.53: Solve by any method.
 1.54: Solve by any method.
 1.55: Solve by any method.
 1.56: Solve by any method.
 1.57: Solve for the indicated variable.
 1.58: Solve for the indicated variable.
 1.59: Solve for the indicated variable.
 1.60: Solve for the indicated variable.
 1.61: Geometry. Find the base and height of a triangle with an area of 2 ...
 1.62: Falling Objects. A man is standing on top of a building 500 feet ta...
 1.63: Solve the radical equation for the given variable.
 1.64: Solve the radical equation for the given variable.
 1.65: Solve the radical equation for the given variable.
 1.66: Solve the radical equation for the given variable.
 1.67: Solve the radical equation for the given variable.
 1.68: Solve the radical equation for the given variable.
 1.69: Solve the radical equation for the given variable.
 1.70: Solve the radical equation for the given variable.
 1.71: Solve the radical equation for the given variable.
 1.72: Solve the radical equation for the given variable.
 1.73: Solve the radical equation for the given variable.
 1.74: Solve the radical equation for the given variable.
 1.75: Solve the equation by introducing a substitution that transforms th...
 1.76: Solve the equation by introducing a substitution that transforms th...
 1.77: Solve the equation by introducing a substitution that transforms th...
 1.78: Solve the equation by introducing a substitution that transforms th...
 1.79: Solve the equation by introducing a substitution that transforms th...
 1.80: Solve the equation by introducing a substitution that transforms th...
 1.81: Solve the equation by introducing a substitution that transforms th...
 1.82: Solve the equation by introducing a substitution that transforms th...
 1.83: Solve the equation by introducing a substitution that transforms th...
 1.84: Solve the equation by introducing a substitution that transforms th...
 1.85: Solve the equation by introducing a substitution that transforms th...
 1.86: Solve the equation by introducing a substitution that transforms th...
 1.87: Solve the equation by factoring.
 1.88: Solve the equation by factoring.
 1.89: Solve the equation by factoring.
 1.90: Solve the equation by factoring.
 1.91: Solve the equation by factoring.
 1.92: Solve the equation by factoring.
 1.93: Solve the equation by factoring.
 1.94: Solve the equation by factoring.
 1.95: Rewrite using interval notation.
 1.96: Rewrite using interval notation.
 1.97: Rewrite using interval notation.
 1.98: Rewrite using interval notation.
 1.99: Rewrite using inequality notation.
 1.100: Rewrite using inequality notation.
 1.101: Rewrite using inequality notation.
 1.102: Rewrite using inequality notation.
 1.103: Express each interval using inequality and interval notation.
 1.104: Express each interval using inequality and interval notation.
 1.105: Graph the indicated set and write as a single interval, if possible.
 1.106: Graph the indicated set and write as a single interval, if possible.
 1.107: Graph the indicated set and write as a single interval, if possible.
 1.108: Graph the indicated set and write as a single interval, if possible.
 1.109: Solve and graph.
 1.110: Solve and graph.
 1.111: Solve and graph.
 1.112: Solve and graph.
 1.113: Solve and graph.
 1.114: Solve and graph.
 1.115: Solve and graph.
 1.116: Solve and graph.
 1.117: Grades. In your algebra class your rst four exam grades are 72, 65,...
 1.118: Prot. A tailor decided to open a mens custom suit business. His xed...
 1.119: Solve the polynomial inequality and express the solution set using ...
 1.120: Solve the polynomial inequality and express the solution set using ...
 1.121: Solve the polynomial inequality and express the solution set using ...
 1.122: Solve the polynomial inequality and express the solution set using ...
 1.123: Solve the polynomial inequality and express the solution set using ...
 1.124: Solve the polynomial inequality and express the solution set using ...
 1.125: Solve the polynomial inequality and express the solution set using ...
 1.126: Solve the polynomial inequality and express the solution set using ...
 1.127: Solve the rational inequality and express the solution set using in...
 1.128: Solve the rational inequality and express the solution set using in...
 1.129: Solve the rational inequality and express the solution set using in...
 1.130: Solve the rational inequality and express the solution set using in...
 1.131: Solve the rational inequality and express the solution set using in...
 1.132: Solve the rational inequality and express the solution set using in...
 1.133: Solve the rational inequality and express the solution set using in...
 1.134: Solve the rational inequality and express the solution set using in...
 1.135: Solve the equation.
 1.136: Solve the equation.
 1.137: Solve the equation.
 1.138: Solve the equation.
 1.139: Solve the inequality and express the solution using interval notation.
 1.140: Solve the inequality and express the solution using interval notation.
 1.141: Solve the inequality and express the solution using interval notation.
 1.142: Solve the inequality and express the solution using interval notation.
 1.143: Solve the inequality and express the solution using interval notation.
 1.144: Solve the inequality and express the solution using interval notation.
 1.145: Solve the inequality and express the solution using interval notation.
 1.146: Solve the inequality and express the solution using interval notation.
 1.147: Temperature. If the average temperature in Phoenix is 85F write an ...
 1.148: Blood Alcohol Level. If a person registers a 0.08 blood alcohol lev...
 1.149: Graph the function represented by each side of the question in the ...
 1.150: Graph the function represented by each side of the question in the ...
 1.151: a. Solve the equation x2 4x b, b 5 by rst writing in standard form ...
 1.152: a. Solve the equation x2 4x b, b 5 by rst writing in standard form ...
 1.153: Solve the equation . Round your answer to two decimal places. Plot ...
 1.154: Solve the equation . Plot both sides of the equation in the same vi...
 1.155: a. Solve the inequality Express the solution set using interval not...
 1.156: a. Solve the inequality Express the solution set using interval not...
 1.157: Plot the left side and the right side of each inequality in the sam...
 1.158: Plot the left side and the right side of each inequality in the sam...
 1.159: Plot the left side and the right side of each inequality in the sam...
 1.160: Plot the left side and the right side of each inequality in the sam...
 1.161: Solve the inequality by graphing both sides of the inequality, and ...
 1.162: Solve the inequality by graphing both sides of the inequality, and ...
 1.1: Solve the equation. 4p 7 6p 1
 1.2: Solve the equation.2(z 1) 3 3z 3(z 1)
 1.3: Solve the equation.3t t2 28
 1.4: Solve the equation. 8x2 13x 6
 1.5: Solve the equation. 6x2 13x 8
 1.6: Solve the equation.3 x  1=5 x + 2
 1.7: Solve the equation.5 y  3+ 1 =30 y2  9
 1.8: Solve the equation.x4 5x2 36 0
 1.9: Solve the equation.12x + 1 + x = 7
 1.10: Solve the equation.2x2/3 3x1/3 2 0
 1.11: Solve the equation.13y  2 = 3  13y + 1
 1.12: Solve the equation. x(3x 5)3 2(3x 5)2 0
 1.13: Solve the equation.x7/3 8x4/3 12x1/3 0
 1.14: Solve for the specied variable. for C
 1.15: Solve for the specied variable.P 2L 2W for L
 1.16: Solve the inequality and express the solution in interval notation....
 1.17: Solve the inequality and express the solution in interval notation....
 1.18: Solve the inequality and express the solution in interval notation....
 1.19: Solve the inequality and express the solution in interval notation....
 1.20: Solve the inequality and express the solution in interval notation....
 1.21: Solve the inequality and express the solution in interval notation....
 1.22: Solve the inequality and express the solution in interval notation....
 1.23: Solve the inequality and express the solution in interval notation....
 1.24: Solve the inequality and express the solution in interval notation....
 1.25: Puzzle. A piling supporting a bridge sits so that of the piling is ...
 1.26: Real Estate. As a realtor you earn 7% of the sale price. The owners...
 1.27: Costs: Cell Phones. A cell phone company charges $49 for a 600minu...
 1.28: Television. Television and lm formats are classied as ratios of wid...
 1.29: Solve the equation Graph the function represented by each side in t...
 1.30: Solve the inequality by graphing both sides of the inequality, and ...
 1.1: Simplify. 5 . (7 3 . 4 2)
 1.2: Simplify and express in terms of positive exponents.
 1.3: Simplify and express in terms of positive exponents.
 1.4: Perform the operations and simplify. (x4 2x3) (x3 5x 6) (5x4 4x3 6x 8
 1.5: Perform the operations and simplify. x2 (x 5)(x 3)
 1.6: Factor completely. 3x3 3x2 60x
 1.7: Factor completely. 2a3 2000
 1.8: Perform the operations and simplify.
 1.9: Perform the operations and simplify.
 1.10: Solve for x.
 1.11: Solve for x.
 1.12: Perform the operation and express in standard form:
 1.13: Solve for x.
 1.14: Solve for x.
 1.15: Tim can paint the interior of a condo in 9 hours. If Chelsea is hir...
 1.16: Solve using the square root method: y2 36 0.
 1.17: Solve by completing the square: x2 12x 40 0.
 1.18: Solve using the Quadratic Formula: x2 x 9 0.
 1.19: Solve and check: .
 1.20: Solve using substitution: 3x2 8x1 4 0.
 1.21: Solve and express the solution in interval notation.
 1.22: Solve and express the solution in interval notation.
 1.23: Solve and express the solution in interval notation.
 1.24: Solve and express the solution in interval notation.
 1.25: Solve for .
 1.26: Solve the equation Plot both sides of the equation in the same view...
 1.27: Solve the inequality by graphing both sidesof the inequality, and i...
Solutions for Chapter 1: Equations and Inequalities
Full solutions for Algebra and Trigonometry  3rd Edition
ISBN: 9780470648032
Solutions for Chapter 1: Equations and Inequalities
Get Full SolutionsAlgebra and Trigonometry was written by and is associated to the ISBN: 9780470648032. Since 1012 problems in chapter 1: Equations and Inequalities have been answered, more than 59237 students have viewed full stepbystep solutions from this chapter. Chapter 1: Equations and Inequalities includes 1012 full stepbystep solutions. This textbook survival guide was created for the textbook: Algebra and Trigonometry, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions.

Adjacency matrix of a graph.
Square matrix with aij = 1 when there is an edge from node i to node j; otherwise aij = O. A = AT when edges go both ways (undirected). Adjacency matrix of a graph. Square matrix with aij = 1 when there is an edge from node i to node j; otherwise aij = O. A = AT when edges go both ways (undirected).

Basis for V.
Independent vectors VI, ... , v d whose linear combinations give each vector in V as v = CIVI + ... + CdVd. V has many bases, each basis gives unique c's. A vector space has many bases!

Circulant matrix C.
Constant diagonals wrap around as in cyclic shift S. Every circulant is Col + CIS + ... + Cn_lSn  l . Cx = convolution c * x. Eigenvectors in F.

Column picture of Ax = b.
The vector b becomes a combination of the columns of A. The system is solvable only when b is in the column space C (A).

Cyclic shift
S. Permutation with S21 = 1, S32 = 1, ... , finally SIn = 1. Its eigenvalues are the nth roots e2lrik/n of 1; eigenvectors are columns of the Fourier matrix F.

Diagonalization
A = S1 AS. A = eigenvalue matrix and S = eigenvector matrix of A. A must have n independent eigenvectors to make S invertible. All Ak = SA k SI.

Four Fundamental Subspaces C (A), N (A), C (AT), N (AT).
Use AT for complex A.

Incidence matrix of a directed graph.
The m by n edgenode incidence matrix has a row for each edge (node i to node j), with entries 1 and 1 in columns i and j .

Matrix multiplication AB.
The i, j entry of AB is (row i of A)·(column j of B) = L aikbkj. By columns: Column j of AB = A times column j of B. By rows: row i of A multiplies B. Columns times rows: AB = sum of (column k)(row k). All these equivalent definitions come from the rule that A B times x equals A times B x .

Multiplier eij.
The pivot row j is multiplied by eij and subtracted from row i to eliminate the i, j entry: eij = (entry to eliminate) / (jth pivot).

Nilpotent matrix N.
Some power of N is the zero matrix, N k = o. The only eigenvalue is A = 0 (repeated n times). Examples: triangular matrices with zero diagonal.

Norm
IIA II. The ".e 2 norm" of A is the maximum ratio II Ax II/l1x II = O"max· Then II Ax II < IIAllllxll and IIABII < IIAIIIIBII and IIA + BII < IIAII + IIBII. Frobenius norm IIAII} = L La~. The.e 1 and.e oo norms are largest column and row sums of laij I.

Pivot.
The diagonal entry (first nonzero) at the time when a row is used in elimination.

Polar decomposition A = Q H.
Orthogonal Q times positive (semi)definite H.

Positive definite matrix A.
Symmetric matrix with positive eigenvalues and positive pivots. Definition: x T Ax > 0 unless x = O. Then A = LDLT with diag(D» O.

Reduced row echelon form R = rref(A).
Pivots = 1; zeros above and below pivots; the r nonzero rows of R give a basis for the row space of A.

Semidefinite matrix A.
(Positive) semidefinite: all x T Ax > 0, all A > 0; A = any RT R.

Subspace S of V.
Any vector space inside V, including V and Z = {zero vector only}.

Vector addition.
v + w = (VI + WI, ... , Vn + Wn ) = diagonal of parallelogram.

Volume of box.
The rows (or the columns) of A generate a box with volume I det(A) I.