 P.7.P7.1: In Exercises 1  16, solve each linear equation.7x  5 = 72
 P.7.P7.2: In Exercises 1  16, solve each linear equation. 6x  3 = 63
 P.7.P7.3: In Exercises 1  16, solve each linear equation.11x  16x  52 = 40
 P.7.P7.4: In Exercises 1  16, solve each linear equation.5x  12x  102 = 35
 P.7.P7.5: In Exercises 1  16, solve each linear equation.2x  7 = 6 + x
 P.7.P7.6: In Exercises 1  16, solve each linear equation.3x + 5 = 2x + 13
 P.7.P7.7: In Exercises 1  16, solve each linear equation.7x + 4 = x + 16
 P.7.P7.8: In Exercises 1  16, solve each linear equation.13x + 14 = 12x  5
 P.7.P7.9: In Exercises 1  16, solve each linear equation.31x  22 + 7 = 21x ...
 P.7.P7.10: In Exercises 1  16, solve each linear equation.21x  12 + 3 = x  ...
 P.7.P7.11: In Exercises 1  16, solve each linear equation.x + 36 =38+x  54
 P.7.P7.12: In Exercises 1  16, solve each linear equation.x + 14 =1+2  x
 P.7.P7.13: In Exercises 1  16, solve each linear equation. x4 = 2 +x  3
 P.7.P7.14: In Exercises 1  16, solve each linear equation. 5 +x  23 =x + 38
 P.7.P7.15: In Exercises 1  16, solve each linear equation.x + 13 = 5 x + 27
 P.7.P7.16: In Exercises 1  16, solve each linear equation.5 x  32 =y + 23
 P.7.P7.17: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.18: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.19: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.20: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.21: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.22: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.23: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.24: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.25: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.26: Exercises 17 26 contain rational equations with variables in denomi...
 P.7.P7.27: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.28: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.29: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.30: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.31: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.32: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.33: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.34: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.35: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.36: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.37: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.38: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.39: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.40: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.41: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.42: In Exercises 27  42, solve each formula for the specified variable...
 P.7.P7.43: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.44: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.45: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.46: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.47: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.48: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.49: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.50: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.51: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.52: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.53: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.54: In Exercises 43  54, solve each absolute value equation or indicat...
 P.7.P7.55: In Exercises 55  60, solve each quadratic equation by factoring. x...
 P.7.P7.56: In Exercises 55  60, solve each quadratic equation by factoring.x2...
 P.7.P7.57: In Exercises 55  60, solve each quadratic equation by factoring.x ...
 P.7.P7.58: In Exercises 55  60, solve each quadratic equation by factoring.x2...
 P.7.P7.59: In Exercises 55  60, solve each quadratic equation by factoring.5x...
 P.7.P7.60: In Exercises 55  60, solve each quadratic equation by factoring.3x...
 P.7.P7.61: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.62: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.63: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.64: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.65: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.66: In Exercises 61 66, solve each quadratic equation by the square roo...
 P.7.P7.67: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.68: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.69: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.70: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.71: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.72: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.73: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.74: In Exercises 67 74, solve each quadratic equation by completing the...
 P.7.P7.75: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.76: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.77: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.78: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.79: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.80: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.81: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.82: In Exercises 75 82, solve each quadratic equation using the quadrat...
 P.7.P7.83: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.84: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.85: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.86: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.87: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.88: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.89: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.90: Compute the discriminant of each equation in Exercises 83 90. What ...
 P.7.P7.91: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.92: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.93: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.94: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.95: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.96: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.97: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.98: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.99: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.100: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.101: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.102: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.103: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.104: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.105: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.106: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.107: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.108: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.109: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.110: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.111: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.112: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.113: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.114: In Exercises 91  114, solve each quadratic equation by the method ...
 P.7.P7.115: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.116: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.117: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.118: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.119: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.120: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.121: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.122: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.123: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.124: In Exercises 115 124, solve each radical equation. Check all propos...
 P.7.P7.125: In Exercises 125  134, solve each equation.In Exercises 125 134, s...
 P.7.P7.126: In Exercises 125  134, solve each equation.
 P.7.P7.127: In Exercises 125  134, solve each equation.
 P.7.P7.128: In Exercises 125  134, solve each equation.
 P.7.P7.129: In Exercises 125  134, solve each equation.
 P.7.P7.130: In Exercises 125  134, solve each equation.
 P.7.P7.131: In Exercises 125  134, solve each equation.
 P.7.P7.132: In Exercises 125  134, solve each equation.
 P.7.P7.133: In Exercises 125  134, solve each equation.
 P.7.P7.134: In Exercises 125  134, solve each equation.
 P.7.P7.135: In Exercises 135 136, list all numbers that must be excluded from t...
 P.7.P7.136: In Exercises 135 136, list all numbers that must be excluded from t...
 P.7.P7.137: Use the formula to find a healthy weight for a person whose height ...
 P.7.P7.138: Use the formula to find a healthy weight for a person whose height ...
 P.7.P7.139: A company wants to increase the 10% peroxide content of its product...
 P.7.P7.140: Suppose that liters of pure acid are added to 200 liters of a 35% a...
 P.7.P7.141: What age groups are expected to be involved in 3 fatal crashes per ...
 P.7.P7.142: What age groups are expected to be involved in 10 fatal crashes per...
 P.7.P7.143: Assuming the trend from 1996 through 2005 continues, use the model ...
 P.7.P7.144: Assuming the trend from 1996 through 2005 continues, use the model ...
 P.7.P7.145: What is a linear equation in one variable? Give an example of this ...
 P.7.P7.146: Explain how to determine the restrictions on the variable for the e...
 P.7.P7.147: What does it mean to solve a formula for a variable?
 P.7.P7.148: Explain how to solve an equation involving absolute value.
 P.7.P7.149: Why does the procedure that you explained in Exercise 148 not apply...
 P.7.P7.150: What is a quadratic equation?
 P.7.P7.151: Explain how to solve by completing the square
 P.7.P7.152: Explain how to solve by completing the square.
 P.7.P7.153: Explain how to solve using the quadratic formula.
 P.7.P7.154: How is the quadratic formula derived?
 P.7.P7.155: What is the discriminant and what information does it provide about...
 P.7.P7.156: If you are given a quadratic equation, how do you determine which m...
 P.7.P7.157: In solving why is it a good idea to isolate the radical term? What ...
 P.7.P7.158: What is an extraneous solution to a radical equation?
 P.7.P7.159: The model describes the number of pay phones, in millions, years af...
 P.7.P7.160: Although I can solve by first subtracting from both sides, I find i...
 P.7.P7.161: Because I want to solve fairly quickly, I ll use the quadratic formula
 P.7.P7.162: When checking a radical equation s proposed solution, I can substit...
 P.7.P7.163: The equation 12x  32 is equivalent to 2x  3 = 5.
 P.7.P7.164: Every quadratic equation has two distinct numbers in its solution set.
 P.7.P7.165: The equations and are equivalent.
 P.7.P7.166: The equation cannot be solved by the quadratic formula
 P.7.P7.167: Find such that will have a solution set
 P.7.P7.168: Write a quadratic equation in general form whose solution set is
 P.7.P7.169: Solve for C: V = C  C  SL N
 P.7.P7.170: Solve for t: s = 16t2 + v0t.
 P.7.P7.171: Jane s salary exceeds Jim s by $150 per week. If represents Jim s w...
 P.7.P7.172: A longdistance telephone plan has a monthly fee of $20 with a char...
 P.7.P7.173: If the width of a rectangle is represented by and the length is rep...
Solutions for Chapter P.7: Equations
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter P.7: Equations
Get Full SolutionsSince 173 problems in chapter P.7: Equations have been answered, more than 66728 students have viewed full stepbystep solutions from this chapter. Chapter P.7: Equations includes 173 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Absolute value of a vector
See Magnitude of a vector.

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Elements of a matrix
See Matrix element.

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Nappe
See Right circular cone.

Objective function
See Linear programming problem.

Pole
See Polar coordinate system.

Rational zeros
Zeros of a function that are rational numbers.

Reflexive property of equality
a = a

Regression model
An equation found by regression and which can be used to predict unknown values.

Spiral of Archimedes
The graph of the polar curve.

Standard form of a complex number
a + bi, where a and b are real numbers

Sum of an infinite series
See Convergence of a series

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Variation
See Power function.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.