INTERMEDIATE ALGEBRA, Chapter 2 Form A 109. For Exercises 1-4, solve each equation. 5. Decide whether

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1 INTERMEDIATE ALGEBRA, Chapter Form A 109 CHAPTER, FORM A NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. ( x 3) 4x= x 8 4x ( 3c) = 4( c 5) + 3c ( y ) c y = x 3 x 19 + = Decide whether ( 4 x ) + 3 = 8( 5 x) 3 10 is a conditional equation, an identity, or a contradiction. Give its solution set Solve for d: 4d + 5c c = b Solve for f: 4f 5= 7h+ g 7. For Exercises 8-13, solve the problem. 8. During the 010 MLB season, New York Yankees third baseman Alex Rodriguez earned a yearly salary of $33,000,000. If there were 16 games in the regular season, how much did Alex Rodriquez earn per regular season game? (Round to the nearest dollar) Mark and Maren invested $6800 in a mutual fund one year ago. During the year, their fund increased in value by $ What interest rate did Mark and Maren earn? 9.

2 110 INTERMEDIATE ALGEBRA, Chapter Form A 10. The sale price on a new jacket is $17. This represents 0% off the regular price. What is the regular price? 11. Two trains leave at the same time from cities that are 450 miles apart, traveling toward each other on adjacent tracks. One train is traveling 0 miles per hour slower than the other. They pass each other after 3 hours. Find the speed of each train. 1. Gary invested some money at 3% and $100 more than that at 5%. His total annual interest was $340. How much did Gary invest at each rate? Find the measure of each angle. ( 3x + 30) x x 13. For Exercises 14-16, solve each inequality. Give the solution set in both interval and graph forms. 14. ( ) d 0 3 d x y

3 INTERMEDIATE ALGEBRA, Chapter Form A Sam has grades of 91, 93, and 81 on his first three science exams. If he wants an average of at least 84 after his fourth test, what are the possible scores he can earn on his fourth test? 17. For Exercises 18-19, let A {,4,6,8 } and B { 1,,4,9,13} = =. 18. Find A B Find A B. 19. For Exercises 0-3, solve the compound or absolute value inequality. Give the solution set in both interval and graph forms. 0. 4x + 3 > 11 or 3x t y < 6 or 3y 1< x > 3. For Exercises 4-5, solve the absolute value equation. 4. 3x + 4 = x x 8 0 = 14 5.

4 11 INTERMEDIATE ALGEBRA, Chapter Form B CHAPTER, FORM B NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. x 4( x 1) = 5(1 + x) ( 4 3z) = ( 6 3z) 7 3. ( y ) z = y x 7 x 43 + = Decide whether ( x + 6) = 3( 8 x) ( x 17) 7 4 is a conditional equation, an identity, or a contradiction. Give its solution set Solve for b: 1 A= bh Solve for g: 3g 5= 7h+ f 7. For Exercises 7-1, solve the problem. 8. The 008 Daytona 500 (mile) race was won by Ryan Newman with a time of 3.7 hours. What was his average speed in miles per hour rounded to the nearest tenth? 9. The sale price on a new natural gas furnace is $750. This represents 1% off the regular price. What is the regular price? 10. Steven Wilson invested $8700 in a certificate of deposit one year ago. During the year, his fund increased in value by $ What interest rate did Steve s investment earn?

5 INTERMEDIATE ALGEBRA, Chapter Form B Two distance runners leave from the same point at the same time, traveling in opposite directions. One runs miles per hour faster than the other. After hours, they are 36 miles apart. Find the speed of each runner Ross and Karen invested some money at 3% and $1500 more than that at 5%. Their total annual interest was $67. How much did they invest at each rate? Find the measure of each angle. ( 3x + 30) x ( x + 50) 13. For Exercises 14-16, solve the inequality. Give the solution set in both interval and graph forms ( t ) t x x Andrew has test grades of 94, 91, and 80 on his first three algebra tests. If he wants an average of at least 88 after his fourth test, what are the possible scores he can make on his fourth test? 17.

6 114 INTERMEDIATE ALGEBRA, Chapter Form B For Exercises 18-19, let A { 1,,4,9 } and B {,4,9,13} = =. 18. Find A B Find A B. 19. For Exercises 0-3, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms. 0. 4x 3 < 11or 3x > x 1 3 and 3x t 3 > r + 3 < For Exercises 4-5, solve each absolute value equation. 4. x + 7 = 6x x 3 = 3 5.

7 INTERMEDIATE ALGEBRA, Chapter Form C 115 CHAPTER, FORM C NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. 3x (1 x) = 5( x ) ( 4 + 3z) = ( z 1) + 5 z = 0.4y ( y ) 4. z + 5 3z z = Decide whether ( x + 6) = 5( x + 1) + 3( 4 x) + ( 1x 17) 4 + is a conditional equation, an identity, or a contradiction. Give its solution set Solve for b: ax + bx + c = P Solve for k: k 3= 6h f 7. For Exercises 8-13, solve each problem. 8. The 004 Daytona 500 (mile) race was won by Dale Earnhardt Jr., who averaged mph. What was his time to the nearest thousandth of an hour? 9. The sale price on a new living room set is $ This represents 5% off the regular price. What is the regular price? 10. Peter Piper invested $6,000 in a mutual fund one year ago. During the year, his fund increased in value by $1690. What interest rate did Peter s investment earn?

8 116 INTERMEDIATE ALGEBRA, Chapter Form C 11. Two airplanes leave Chicago s Midway airport at the same time, traveling in opposite directions. One travels 5 miles per hour faster than the other. After hours, they are 490 miles apart. Find the speed of each airplane Mason invested some money at 5% and $100 less than that at 3%. His total annual interest was $5. How much did he invest at each rate? Find the measure of each angle. ( 3x 10) x ( 4x 50) 13. For Exercises 13-15, solve the inequality. Give the solution set in both interval and graph forms ( t ) ( 6t 1) < x x < Janet has test grades of 8, 83, and 68 on her first three algebra tests. If she wants an average of at least 80 after her fourth test, what are the possible scores she can make on the fourth test? 17.

9 INTERMEDIATE ALGEBRA, Chapter Form C 117 For Exercises 18-19, let A { 4,6,7,8 } and B { 5,9,10,1} = =. 18. Find A B Find A B. 19. For Exercises 0-3, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms. 0. 3x + 5 < 8 or x x + 4 < 19 and x < t x + 5 > For Exercises 4-5, solve each absolute value equation. 4. x 5 = 9x x 4 8= 1 5.

10 118 INTERMEDIATE ALGEBRA, Chapter Form D CHAPTER, FORM D NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. x+ 3 5x= 3(6x+ ) ( 3 ) + 7 = 5( r ) 9 3. ( g ) r g = z + 8 z = z Decide whether ( x 4) + 3( 5 x) 9 = 9( x ) 6 is a conditional equation, an identity, or a contradiction. Give its solution set Solve for h: V 4 3 = π r h Solve for f: f 3= 9h f 7. For Exercises 8-13, solve each problem. 8. Ward Burton won the Daytona 500-mile race in 00, in a time of 3.48 hours. What was his average speed in miles per hour, rounded to the nearest tenth? 9. The sale price on a trip to Jamaica is $ This represents 30% off the regular price. What is the regular price? 8. 9.

11 INTERMEDIATE ALGEBRA, Chapter Form D Dave and Lisa invested $18,500 in a mutual fund one year ago. During the year, their fund increased in value by $1110. What interest rate has their investment earned? 11. Two cars leave at the same time from towns that are 180 miles apart, traveling toward each other. One car travels 10 miles per hour faster than the other. They meet each other after two hours. Find the speed of each car. 1. Karl and Katie invested some money at 4.5% and $100 less than that at 3%. Their total annual interest was $189. How much did they invest at each rate? Find the measure of each angle. ( 3x 50) ( x 10) ( x +10) 13. For Exercises 14-16, solve each inequality. Give the solution set in both interval and graph forms. 1 t ( ) t x x > 6 16.

12 10 INTERMEDIATE ALGEBRA, Chapter Form D 17. Daniel has test grades of 6, 64, and 78 on his first three algebra tests. If he wants an average of at least 75 after his fourth test, what are the possible scores he can earn on the fourth test? 17. For Exercises 18-19, let = { 7, 9, 10, 11,1 } and = { 4, 10, 11, 1, 13} A B. 18. Find A B Find A B. 19. For Exercises 0-3, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms x 1< 15 or 3x 5 > or 3( x 1) 6 x 1.. 3t r + 7 > 3 3. For Exercises 4-5, solve each absolute value equation. 4. x 5 = 7x x 4 14= 8 5.

13 INTERMEDIATE ALGEBRA, Chapter Form E 11 CHAPTER, FORM E NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. 4x + 5x= 7( x 1) 1. 5 (B) 5 (C) z ( 4 + 3z) = ( z 1) + 5 { } (B) { 3} (C) = 0.4y 3. ( y ) { 35} (B) { 59.3} (C) {47} {51.86} z + 5 3z z = + 5 { 5} (B) {4} (C) Decide whether 4 ( x + 6) = 5( x + 1) + 3( 4 x) + ( 1x + 17) is a conditional equation, an identity, or a contradiction. Conditional (B) Identity (C) Contradiction ( b1 b) h = (B) h= A b1 b A A ( b1+ b) A (C) h = h = b + b 6. Solve for h: A= h( b + b ) 1 6.

14 1 INTERMEDIATE ALGEBRA, Chapter Form E 7. Solve for f: 4f 5= 7h+ f 7h + 5 f = (B) f = 7h h 5 3 (C) f = f = 3 7h For Exercises 8-13, solve the problem. 8. Michael Waltrip won the Daytona 500-mile race in 001, with a time of 3.08 hours. What was his average speed in miles per hour, rounded to the nearest tenth? mph (B) 13.4 mph (C) 16.3 mph mph The sale price on a new laptop computer is $545.. This represents % off the regular price. What is the regular price? $ (B) $699 (C) $731 $ Tim and Mary invested $1700 in a mutual fund one year ago. During the year, their fund increased in value by $55.5. What interest rate has their investment earned?.5% (B) 3.5% (C) 4.5% 5.5% Two airplanes leave Chicago s Midway airport at the same time, traveling in opposite directions. One travels 5 miles per hour faster than the other. After hours, they are 490 miles apart. Find the speed of the faster airplane. 110 mph (B) 135 mph (C) 160 mph 185 mph Bob and Elaine invested some money at 6% and $150 less than that at 4%. Their total annual interest was $510. How much did she invest at 6%? $8100 (B) $4350 (C) $6850 $

15 INTERMEDIATE ALGEBRA, Chapter Form E Find the measure of each angle. ( 3x + 30) x x 40,40,100 (C) 5, 5,130 (B) 45, 45,90 30,30, For Exercises 14-15, solve the inequality. Give the solution set in interval form x < 1 3 ( 16, ) (B) (,16) (C) ( 9, ) (,9) ( t ) ( 6t + 1) 14 3, 0, (B) (, 4] (C) ( ] [, ) For Exercise 16, solve the inequality. Give the solution set in graph form x (C) (B) 17. Reggie has test grades of 90, 9, and 93 on his first three algebra tests. If he wants an average of at least 90 after his fourth test, what are the possible scores he can earn on his fourth test? at least 85 (B) at least 81 (C) at least 83 at least

16 14 INTERMEDIATE ALGEBRA, Chapter Form E For Exercises 18-19, Let A { 4,6,7,9 } and B { 5,8,10,1} 18. Find A B. = =. { 4, 5, 8, 10, 1 } (B) { 6, 8 } (C) { 4, 5, 6, 7, 8, 9, 10, 1 } Find A B. { 4, 5, 8, 10, 1 } (B) { 6, 8} (C) { 4, 5, 6, 7, 8, 9, 10, 1 } 19. For Exercises 0-1, solve each compound or absolute value inequality. Give the solution set in interval form. 0. 3x + 5 < 8 or x [, 3) 1 3, 1 (B)(, 1] ( 3, ) (C) (, ) [ ) (, 3] t , 5 1 (C) (B) (, 5], [ 5, 5] 1. For Exercises -3, solve each compound or absolute value inequality. Give the solution set in graph form.. 3 x + 4 < 19 and x < 6. (B) (C)

17 INTERMEDIATE ALGEBRA, Chapter Form E x + 5 > (B) (C) For Exercises 4-5, solve each absolute value equation. 4. x 5 = 9x + 7 (C) 1 1, , (B), x + 3 1= 5 (C) 1 3 1, 3 (B) 5.

18 16 INTERMEDIATE ALGEBRA, Chapter Form F CHAPTER, FORM F NAME: INTERMEDIATE ALGEBRA SECTION: For Exercises 1-4, solve each equation. 1. x+ 1 7x= 3( x 8) (B) {} 5 (C) 5 { 6}. 4 7( 3 r ) + 7 = 5( r ) 9 { 1} (B) { 17} (C) g = ( g ) {3.8} (B) {1.8} (C) {146} {155} z + 8 z = z {1} (B) {0} (C) Decide whether the equation 6( x 4) + 3( 5 x) 9 = 9( x ) is a conditional equation, an identity, or a contradiction. Conditional (B) Identity (C) Contradiction Solve for r: C = π r C r = (B) π (C) r = C π r = r C π C π = 6.

19 INTERMEDIATE ALGEBRA, Chapter Form F Solve for k: 3k 3= 6h k (C) 3+ 6h k = 4 (B) 4 k 3 6h 3 6h k = 4 4 k = 3 6h 7. For Exercises 8-13, solve the problem. 8. Kevin Harvick won the Daytona 500-mile race in 007, with a time of 3.37 hours. What was his average speed in miles per hour, rounded to the nearest tenth? mph (B) mph (C) mph mph The sale price on a big screen TV is $ This represents 5% off the regular price. What is the regular price? $150 (B) $ (C) $ $ Perry and Ann invested $18,100 in a mutual fund one year ago. During the year, their fund increased in value by $ What interest rate has their investment earned? 3.5% (B) 3.8% (C) 4.5% 4.8% Two cars leave at the same time from towns that are 180 miles apart, traveling toward each other. One car travels 10 miles per hour faster than the other. They meet each other after two hours. Find the speed of the faster car. 40 mph (B) 50 mph (C) 60 mph 75 mph 11.

20 18 INTERMEDIATE ALGEBRA, Chapter Form F 1. Richard and Bonnie invested some money at 6% and $1100 less than that at 4%. Their total annual interest was $556. How much did they invest at 4%? $ (B) $ (C) $ $ Find the measure of each angle. ( 3x 10) x ( 4x 50) 30,70,80 (C) 30,50,100 (B) 5,65,90 40,50, For Exercises 14-16, solve each inequality. Give the solution set in interval form x > 6 (,9) (B) ( 9, ) (C) (, 4) (, ) 15. ( ) t 1 t 3 8 (, 3] (B) [ 3, ) (C) 5 3, (,15] For Exercise 16, solve the inequality. Give the solution set in graph form. 16. x (C) (B)

21 INTERMEDIATE ALGEBRA, Chapter Form F Phillip has test grades of 79, 7, and 73 on his first three algebra tests. If he wants an average of at least 73 after his fourth test, what are the possible scores he can make on his fourth test? at least 70 (B) at least 68 (C) at least 66 at least For Exercises 18-19, Let A { 7, 9, 11, 13 } and B { 6, 11, 1, 13} 18. Find A B. = =. { 6, 7, 9,1} (B) { 11,13} 6, 7, 9,11,1, (C) { } 19. Find A B. { 6, 7, 9,1} (B) { 11,13} 6, 7, 9,11,1, (C) { } For Exercises 0-1, solve each compound or absolute value inequality. Give the solution set in interval form. 0. 8x 1< 15 or 3x 5 > 7 [,4], 4 (B)(, ] [ 4, ) (C) ( ) ( ) ( 4, ), t 9 1 [ 1, 7] 1, 7 (B)(, 1] [ 7, ) (C) ( ) ( 1) ( 7, ), 1.

22 130 INTERMEDIATE ALGEBRA, Chapter Form F For Exercises -3, solve the compound or absolute value inequality. Give the solution set in graph form or 3( x 1) 6 x. (B) (C) 3. 5 r + 7 > 3 3. (B) (C) For Exercises 4-5, solve each absolute value equation. 4. x 5 = 7x 6 (C) , 8 6 (B) 1 11, x 6= (B), 5. (C) { }