Long before the passage o f laws prohibiting marriage between pe.ople of the same sex, a

Graph each equation in Exercises 1-4. Let x - - 3, - 2, -1. 0, 1. 2,and 3. y - 2x - 2

Graph each equation in Exercises 1-4. Let x - - 3, - 2, -1. 0, 1. 2,and 3. v - x2 - 3

Graph each equation in Exercises 1-4. Let x - - 3, - 2, -1. 0, 1. 2,and 3. y - x

Graph each equation in Exercises 1-4. Let x - - 3, - 2, -1. 0, 1. 2,and 3. y - lxl - 2

What does a [- 20,40, 101 by [- 5,5,1) viewing rectangle mean? Draw axes with tick marks and label the tick marks to illustrate this viewing rectangle.

In Exercises 6-8, use the graph and detennin~ the x4 intercepts if any, and tile y-intercepts if any. For ('ach graph. tick marks along the axes represent one unit each. y

In Exercises 6-8, use the graph and detennin~ the x4 intercepts if any, and tile y-intercepts if any. For ('ach graph. tick marks along the axes represent one unit each. y

In Exercises 6-8, use the graph and detennin~ the x4 intercepts if any, and tile y-intercepts if any. For ('ach graph. tick marks along the axes represent one unit each. )'

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' What are the coordinates of point A? What does this mean in terms o r the infomlation gi\'en by the graph?

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' What starting salary was anticipated by the greatest percentage of college students? Estimate the percentage of students who anticipated this salary.

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' What starting salary was anticipated by the least percentage of oollege students? Estimate the percentage of students '"'ho anticipated this sa.lary.

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' What starting salaries were anticipated by more than 20% of college students7

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' Estimate the percentage of students who anticipated a starting salary of $40 thousand.

Salary after College. In 2010, MonsrerCollege surveyed 1250 U.S. college students expecting to graduate in the next several years, Respondems were asked the following question: What do you think your starting salary will be at your first job after college? The line graph shows the percentage of college students who anticipated various starHng salaries. Use she graph to solve Exercises 9-14. 24% 20% 16% 12% 8% A 4% Anticipated Starting Salary at flrst Job alter College Anticipated Starting Salary (thousands of dollars) Source: MonsterCollege"' The malhematic.al model p - - O.Ols' + 0.& + 3.7 describes the percentage of college students, p, who anticipated a starting salary s .. in thousands of dollars. Use this formula to find the percentage or students who anticipated a starring salary of $40 thousand. How does this oompare with your estimate in Exercise 13?

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 2x - 5 - 7

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 5x + 20 - 3x

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 7(x - ) - x + 2

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. I - 2(6 - x) - 3x + 2

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 2(x - 4) + 3(x + 5) - 2.t - 2

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 2x - 4(5x + 1) - 3x+ 17

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 7x ~ 5 - 5(x + 3) + 2x

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 7x ~ 13 - 2(2.t - 5) + 3x + 2.3

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 2x ,: 3 6 . 1

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. :: - ...!_ _:: +.!. 2 10 5 2

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 2t _ 6 _ :: 3 4

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. ~ - 2 - !..::.1 4 3

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 3x+l 13 1 - x ---- - - -- 3 2 4

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 9 1 4 ;r - z; - ;

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. ~+2 x+: x - J x - J

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. t=l - ;-:;:-) - x2 - 1

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 5 1 8 X + 3 + X - 2 - x2 + X - 6

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 1 --. - o .t+)

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 4 3 10 --+ - - ....,....:.::..,__ x+2 x x2 +2t

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. 3 - 5(2x + 1) - 2(x - 4) - 0

In Exercises 15-35, solve each equation. Then .state whether the equation is an idemisy, a c.onditional equation, or an inconsistent equation. + 2. + l - I - 0 :.. ' . x+_, x-+2r - 3

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. Destine.d for Gory. As sequels to horror films increase, so does the body count. Wes Cravens slasher Scre.am series adheres to thaf axiom. Body Count in Wes Cr-.t,.en's Scream Sies Scrt:trm Scnam Saeam Scream 2 3 4 Whether it's knife to the back, knife to the gut. or knife to the head, the body count in Scream2 exceeds the departed in Screllm by 2. Appropriately, the number of characters killed off in Scream 3 exceeds the departed in Scream by 3. The total body count in the four Scre.am films shown in the graphic is 33. Find Lhe body count in Scream,Sc.ream 2,and Scream3.

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. 'llle bar graph shows the average price of a mo,1e ticket for selected yea ~ from 1980 through 2010.'111e graph indicates that in 1980, the average movie ticket price was $2.69. For the period from 1980through 2010, the price increased by approximately $0.15 per year. If this trend continues, by which year will the avc.rage price of a mo\~e ticket be $8.69? '\ \ 1980 Ordi11ary Pooplc licket Price 52.69 $8.00 A erage Prire of a U.S. Mmie 1icket Year 2010 Alice iu Wonderland licket Price 57.85 Sources: Motion Picture Association of America. National Association of Theater ()\mm (NATO), and Bureau of Labor Statistics (BLS)

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. You are choosing between two texting plans. One plan has a monthly fee of $15 \\1th a charge o[ $0.05 pe r te xt The o ther plan has a monthly fee o f $5 "ith a charge of $0.07 per text. For how many text messages will the costs for the two plans be the same?

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. Afte r a 20% price reduction, a cordless phone sold for $48. \Vha t was t he phone's price before lhe reduction?

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. A saJesperson cams $300 per week plus 5% commission of sales. How much must be sold to earn $800 in a week?

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. You invested $90(Kl in two funds paying 4% a nd 7% annual inte rest. At the end of the year, the total interest from these investments was S555. How much was invested a t each rate?

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. You invested $8000 in two funds paying2% and 5% annual interest. At the end of the year. the interest from the 5% imestment exceeded the interest from the 2% investment y $85. How much money was invested a t each rate?

In Exercises 36-43. use the fi.ve-step strategy for solvhtg word problems. The length of a rectangular field is 6 yards less than triple the width. lfthe perimeter of the field is 340 yards, what are its dimensions?

In 2010, there were 14,100 students at college A, \\1th a projected enrollment incre.ase or 1500 students pe r year. In the same year. there were41,700stu dents at college B, with a projected e nrollme nt decline of 800 students per year. a. Let x represent the numbe r of years a fte r 2010. Write, but do not solve, an equation that can be used to find how many years a fte r 2010 the colleges will have the same enrollment. b. The fo llowing table is based on your equation in part (a). Y1 represents one side of the equation and Y1 represents the other side of the equation. Use the table to answer the following questions: In which year '~II the colleges ha\'e the same enrollment/ \Vhat will be the enrollment in each college a t that time? X Y1 Y2 F.- 2~600 36100 B 26100 35300 9 10 11 27600 29100 30600 3~500 H700 32900 12 32100 32100 13 33600 31301) '-7

In Exercises 45-47. solve each formula for the specified variable. ''' + g/2 - s for g

In Exercises 45-47. solve each formula for the specified variable. T - gr + gtl for g

In Exercises 45-47. solve each formula for the specified variable. T - -p;-for P

In Exercises 48-57, perform the indicated operations and write the result in standard form. (8 - 3i) - (17 - 70

In Exercises 48-57, perform the indicated operations and write the result in standard form. 4i(3i - 2)

In Exercises 48-57, perform the indicated operations and write the result in standard form. (7 - i)(2 + 31)

In Exercises 48-57, perform the indicated operations and write the result in standard form. (3 - 41)2

In Exercises 48-57, perform the indicated operations and write the result in standard form. (7 + Si)(7 - 8i)

In Exercises 48-57, perform the indicated operations and write the result in standard form. 6 -- - ) + 1

In Exercises 48-57, perform the indicated operations and write the result in standard form. 3 + 4i 4 - 2i

In Exercises 48-57, perform the indicated operations and write the result in standard form. V-32 - V-i'S

In Exercises 48-57, perform the indicated operations and write the result in standard form. ( - 2 + vCIOO)'

In Exercises 48-57, perform the indicated operations and write the result in standard form. 4 + -v=s 2

Solve each equation in Exercises 58-59 by factoring. 2' + 15x - 8

Solve each equation in Exercises 58-59 by factoring. 5x2 + 20x - 0

Solve each equation in Exercises 60-63 by the square root properly. 2x2 - 3 - 125

Solve each equation in Exercises 60-63 by the square root properly. -~ --3

Solve each equation in Exercises 60-63 by the square root properly. (x + 3)2 - - 10

Solve each equation in Exercises 60-63 by the square root properly. 3x - 4)' - 18

In Exercises 64-65, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 20x

In Exercises 64-65, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. r - 3.t

Solve each equation in Exercises 66-67 by completing the squnre. x1 - 12x + 27 - 0

Solve each equation in Exercises 66-67 by completing the squnre. 3x1 - t2r + II - 0

Solve each equation in Exercises 68-70 using the quadratic fomwla. x2 - 2r+4

Solve each equation in Exercises 68-70 using the quadratic fomwla. x2 - 2x ~ 19 - 0

Solve each equation in Exercises 68-70 using the quadratic fomwla. 2xl - 3 - 4x

In Exercises 71- 72, withow solving the g;ven quadratic equation, determ;,Je the number and type of solutions. x2 - 4x + 13 - 0

In Exercises 71- 72, withow solving the g;ven quadratic equation, determ;,Je the number and type of solutions. 9x2 - 2 - 3x

Solve each equation in Exercises 73-81 by the method of your choice. 2<2 - ll.r + 5 - 0

Solve each equation in Exercises 73-81 by the method of your choice. (3x ~ 5)(x - 3) - 5

Solve each equation in Exercises 73-81 by the method of your choice. 3x1 - 7x + 1 - 0

Solve each equation in Exercises 73-81 by the method of your choice. x2 - 9 - 0

Solve each equation in Exercises 73-81 by the method of your choice. (x - 3)2 - 25 - 0

Solve each equation in Exercises 73-81 by the method of your choice. 3x2 - x + 2 - 0

Solve each equation in Exercises 73-81 by the method of your choice. 3x2 - Hlr - 8

Solve each equation in Exercises 73-81 by the method of your choice. (x + 2)1 + 4 - 0

Solve each equation in Exercises 73-81 by the method of your choice. 2_+x - l _ 2 X + 1 4

The formula W - 312 models the weight of a huma n fetus, W, in gra ~ a fte r t weeks. where 0 s- 1 s 39. Afte r how many weeks does the fe.tus weigh 588 grams?

As gas prices surge, more Ame ricans are cycling as a way to save money, stay fit, o r both. In 2010. Boston installed 20 miles of bike lanes a nd New York City added more than 50 miles. The bar graph shows the number of bicycle friendly U.S. communities, as designated by the league of American Bicyclists, for selected years from 2003 through 2011 . Number or U.S. Communities Designated 11Binde Friendly by the Leagui of Americ3n lq'dist<~ 180 !20 75 Year Sourre.: League of American Bicyclisls The formula 8 - l.7x1 + 6x + 26 models the number or bicycle-friendly communities,. B. x years a fter 2003. a. Use the formula to find the number of bicycle-friendly communities in 2011. Round to the nearest whole number. Doe.s this rounded value underestimate or overestimate the number shown by the graph? By how much? b. Use the formula to determine the year in which 826 U.S. communities will be bicycle friendly.

An architect is allowed 15 square yards of floor space to add a small bedroom to a house. Because or the room's design in relationship to the existing structure, the width of the rectangular floor must be 7 yards less than two times the length. Find the length and width of the rectangular floor that the architect is permitted.

A building casts a shadow that is double the height of the building. If the distance fTOm the e nd of the shadow to the lop of the bu ldinS<\s~ meters. how high is the building? Round to the nea ~~1eter.

Solve each polynomial equation in Exercises 86-87. 2x" - 50x2

Solve each polynomial equation in Exercises 86-87. 2x3 - x2 - 18x + 9 - 0

Solve each radical equation hJ Exercises 88-89. ~+x 3

Solve each radical equation hJ Exercises 88-89. ~+Vx+l 5

Solve the equations with rational exponents in Exercises 90-91. 3x' - 24 - 0

Solve the equations with rational exponents in Exercises 90-91. (x - 7)3 - 25

Solve each equation in Exercises 92-93 by making an appropriate substitution. x' - 5x2 +4 - 0

Solve each equation in Exercises 92-93 by making an appropriate substitution. x 2 + 3x - 10 - 0

Solve the equations comaining absolute value in Exercises 94-95. l2t + 11 - 7

Solve the equations comaining absolute value in Exercises 94-95. 2lx - 31 - 6 - 10

Solve each equation in tercises 96-102 by lhe method of your choicf!. 3x' - sx' +2 - D

Solve each equation in tercises 96-102 by lhe method of your choicf!. 7.2~ x

Solve each equation in tercises 96-102 by lhe method of your choicf!. l2t - 5[ - 3 - 0

Solve each equation in tercises 96-102 by lhe method of your choicf!. x' + 2t2 - 9x + 18

Solve each equation in tercises 96-102 by lhe method of your choicf!. \h t + 3 - X - 0

Solve each equation in tercises 96-102 by lhe method of your choicf!. r' + 3x2 - 2x - 6 - 0

Solve each equation in tercises 96-102 by lhe method of your choicf!. - 41 X + 1J + 12 - 0

Long before the passage o f laws prohibiting marriage between pe.ople of the same sex, a substantial percentage of Americans were in favor o f laws prohibiting_ inte rracial marriage. Since 19n, the Geneml Social Survey has asked Do you think that there should be laws against marriages between negroes/blacks/African A111eric.ans and whites? In 1972,39.3% of !he adult U.S. population was in favor of such laws. The bar graph shows the percentage of Americans in favor of legislation prohibiting inte.rracial marriage for five selected years from 1993 through 2002, the last year the data were collected. Percentage. of Americ-.ms in f amr of La"'S Probibiting Interracial Marriage Year Source: Ben SchoH, Schott's A lmanac 2007, DonneUe)' and Sons The fo rmula p - - 25-Vt + 17 models the percentage or Americans, p, in f-avor of laws prohibiting interracial marriage 1 years after 1993. [f trends indicated by this model continue, in what year did the percentage favoring such legislation decrease to 7%?

In Exercises 104-106, express each imerval in set-builder notation and graph lhe interval on a number line. [- 3, 5)

In Exercises 104-106, express each imerval in set-builder notation and graph lhe interval on a number line. (- 2, )

In Exercises 104-106, express each imerval in set-builder notation and graph lhe interval on a number line. (- ~' 0]

In Exercises 107-110. use graphs to find each set. (- 2. 1)n[- 1,3)

In Exercises 107-110. use graphs to find each set. (- 2, I]U[- 1,3)

In Exercises 107-110. use graphs to find each set. [I, 3) () (0, 4)

In Exercises 107-110. use graphs to find each set. [1' 3) u (0,4)

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 6x + 3 s> 15

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 6.r - 9 " - 4x - 3

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. ~ - ~ 1 > ~

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 6x + 5 > - 2(x - 3) - 25

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 3(2t - 1) - 2(x - 4) " 7 + 2(3 + 4x)

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 5(x - 2) - 3(x + 4) " 2x - 20

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 7 < 2x + 3 s> 9

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 12x + 31 s> 15

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 12 " ; 6 1>2

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. 12<~51 :a.- 6

In Exercise-s 111-121. solve ead1 inequality. 0Jher than 0 . use interval notation to express solution sets and graph each solution set on a number line. - 4lx ~ 21 + 5 s>-7

In Exercises 122-123, use interval notation 10 represent all values of x satisfying the given conditions. y, - - 10 - 3(2t + 1).y2 - Sx + 1, and y1 > y2

In Exercises 122-123, use interval notation 10 represent all values of x satisfying the given conditions. y - 3 - l2t - 51 andy is at least - 6.

A car rental agency rents a certain car for $40 per day with unlimited mileage or $24 per day plus $0.20 per mile. How far c.an a customer drive this car per day for the $24 option to cost no more than the unlimited mileage option?

To receive a B in a course, you must have an average of a t least 80% but less than 90% on five exams. Your grades on the first four exams were 95%,79%. 91 %, and 86%. What range of grades on the fifth exam will result in a B for the course?

A retiree requires an annual income of at least $9000 from a n investment paying 7.5% annual interest. How much should the retiree invest to achieve the desired return?