CHAPTER 1, FORM A INTERMEDIATE ALGEBRA NAME: SECTION: …

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INTERMEDIATE ALGEBRA, Chapter 1 Form A 105

CHAPTER 1, FORM A INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 2( 3) 4 8 4x x x x 1. _____________________ 2. 27354327330 cccc 2. _____________________ 3. 0.7 14 0.5 32.2y y 3. _____________________

4. 12

19

34

3 xx 4. _____________________

5. Decide whether

32583410 xx is a conditional equation, an identity, or a contradiction. Give its solution set. 5. _____________________

_____________________

6. Solve for d: 4 53

d cc

b

6. _____________________

7. Solve for f: 4 5 7f h g 7. _____________________ For Exercises 8-13, solve the problem. 8. During the 2014 MLB season, Minnesota

Twins first baseman Joe Mauer earned a yearly salary of $23,000,000. If there were 162 games in the regular season, how much did Joe Mauer earn per regular season game? (Round to the nearest dollar) 8. _____________________

9. Mark and Maren invested $6800 in a mutual

fund one year ago. During the year, their fund increased in value by $380.80. What interest rate did Mark and Maren earn? 9. _____________________

106 INTERMEDIATE ALGEBRA, Chapter 1 Form A


10. The sale price on a new jacket is $172. This represents 20% off the regular price. What is the regular price? 10. _____________________

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 20 miles per hour slower than the other. They pass each other after 3 hours. Find the speed of each train. 11. ____________________

12. Gary invested some money at 1% and $1200 more than that at 2%. His total annual

interest was $114. How much did Gary invest at each rate? 12. ____________________

13. Find the measure of each angle.

3 30x

x x 13. ____________________ For Exercises 14-16, solve each inequality. Give the solution set in both interval and graph forms. 14. dd 242320 14. ____________________

15. 933

27 x 15. ____________________

16. 287

4 y 16. ____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form A 107

17. 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 2 , 4 , 6 , 8 and 1 , 2 , 4 , 9 , 13A B .

18. Find BA . 18. ____________________ 19. Find BA . 19. ____________________ For Exercises 20-23, solve the compound or absolute value inequality. Give the solution set in both interval and graph forms. 20. 1432or 1134 xx 20. ____________________

21. 772 t 21. ____________________

22. 1013or 62 yy 22. ____________________

23. 243 x 23. ____________________

For Exercises 24-25, solve the absolute value equation. 24. 9243 xx 24. ____________________

25. 4 8 20 14x 25. ____________________

108 INTERMEDIATE ALGEBRA, Chapter 1 Form B


CHAPTER 1, FORM B INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 2 4( 1) 5(1 )x x x 1. _____________________ 2. 736349 zzz 2. _____________________ 3. 0.8 9 13.8 0.2y y 3. _____________________

4. 12

43

3

2

4

7 xx 4. _____________________

5. Decide whether

1783647 xxx is a conditional equation, an identity, or a contradiction. Give its solution set. 5. _____________________

_____________________

6. Solve for b: 1

2A bh 6. _____________________

7. Solve for g: 3 5 7g h f 7. _____________________ For Exercises 7-12, solve the problem. 8. The 2014 Daytona 500 (mile) race was won by Dale Earnhardt Jr. with a time of 3.43 hours. What

was his average speed in miles per hour rounded to the nearest tenth? 8. _____________________

9. The sale price on a new natural gas furnace is $2750. This represents 12% off the regular price.

What is the regular price? 9. _____________________ 10. Steven invested $8700 in a certificate of

deposit one year ago. During the year, his fund increased in value by $217.50. What interest rate did Steve’s investment earn? 10. _____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form B 109

11. Two distance runners leave from the same point at the same time, traveling in opposite directions. One runs 2 miles per hour faster than the other. After 2 hours, they are 36 miles apart. Find the speed of each runner. 11. ____________________

12. Ross and Karen invested some money at 1.25% and $1500 more than that at 2.5%. Their total annual

interest was $195. How much did they invest at each rate? 12. ____________________


3 30x

x 50x

13. ____________________ For Exercises 14-16, solve the inequality. Give the solution set in both interval and graph forms. 14. tt 2314 14. ____________________

15. 334

312 x 15. ____________________

16. 147

2 x 16. ____________________

17. 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. ____________________

110 INTERMEDIATE ALGEBRA, Chapter 1 Form B


For Exercises 18-19, let 1 , 2 , 4 ,9 and 2 , 4 , 9 , 13A B .

18. Find BA . 18. ____________________ 19. Find BA . 19. ____________________ For Exercises 20-23, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms. 20. 823or 1134 xx 20. ____________________

21. 2 1 3 and 3 9x x 21. ____________________

22. 4 3 9t 22. ____________________

23. 1532 r 23. ____________________

For Exercises 24-25, solve each absolute value equation. 24. 5672 xx 24. ____________________

25. 4 3 2 3x 25. ____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form C 111

CHAPTER 1, FORM C INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 3 2(1 ) 5( 2) 8x x x 1. _____________________ 2. 2512349 zzz 2. _____________________ 3. 52.4 0.6 9 0.4y y 3. _____________________

4. 2

7

2

13

5

52 zzz 4. _____________________

5. Decide whether

1712431564 xxxx is a conditional equation, an identity, or a contradiction. Give its solution set. 5. _____________________

_____________________ 6. Solve for y: 5 3 7x y 6. _____________________ 7. Solve for k: 2 3 6k h f 7. _____________________ For Exercises 8-13, solve each problem. 8. The 2013 Daytona 500 (mile) race was won by Jimmie Johnson., who averaged 159.3 mph.

What was his time to the nearest thousandth of an hour? 8. _____________________

9. The sale price on a new living room set is $1687.50. This represents 25% off the regular price. What is the regular price? 9. _____________________ 10. Peter Parker invested $26,000 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? 10. _____________________

112 INTERMEDIATE ALGEBRA, Chapter 1 Form C


11. Two airplanes leave Chicago’s Midway airport at the same time, traveling in opposite directions. One travels 25 miles per hour faster than the other. After 2 hours, they are 490 miles apart. Find the speed of each airplane. 11. ____________________

12. Mason invested some money at 1.5% and $1200 less than that at 0.35%. His total annual

interest was $32.80. How much did he invest at each rate? 12. ____________________


3 10x

4 50x

x 13. ____________________ For Exercises 13-15, solve the inequality. Give the solution set in both interval and graph forms. 14. 7 3 2 6 1t t 14. ____________________

15. 1555

25 x 15. ____________________

16. 123

4 x 16. ____________________

17. Janet has test grades of 82, 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. ____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form C 113

For Exercises 18-19, let 4 , 6 , 7 , 8 and 5 , 9 , 10 , 12A B .

18. Find BA . 18. ____________________ 19. Find BA . 19. ____________________ For Exercises 20-23, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms. 20. 1152or 853 x x 20. ____________________

21. 62 and 1943 xx 21. ____________________

22. 9114 t 22. ____________________

23. 1753 x 23. ____________________


25. 6 4 8 12x 25. ____________________

114 INTERMEDIATE ALGEBRA, Chapter 1 Form D


CHAPTER 1, FORM D INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 2 3 5 3(6 2)x x x 1. _____________________ 2. 92572374 rr 2. _____________________ 3. 0.04 6 0.02 3.16g g 3. _____________________

4. 9

4

9

122

6

8 zzz 4. _____________________

5. Decide whether

29953426 xxx is a conditional equation, an identity, or a contradiction. Give its solution set. 5. _____________________

_____________________

6. Solve for h: 24

3V r h 6. _____________________

7. Solve for f: 2 3 9f h f 7. _____________________ For Exercises 8-13, solve each problem. 8. Matt Kenseth won the Daytona 500-mile

race in 2012, in a time of 3.6 hours. What was his average speed in miles per hour, rounded to the nearest tenth? 8. _____________________

9. The sale price on a trip to Jamaica is $2117.50. This represents 30% off the regular price. What is the regular price? 9. _____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form D 115

10. 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? 10. _____________________

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. 11. ____________________

12. Karl and Katie invested some money at 1.5% and $1200 less than that at 0.5%. Their total annual interest was $99. How much did they invest at each rate? 12. ____________________ 13. Find the measure of each angle.

3 50x

10x 10x

13. ____________________ For Exercises 14-16, solve each inequality. Give the solution set in both interval and graph forms. 14. tt 83212 14. ____________________

15. 467

28 x 15. ____________________

16. 62

3 x 16. ____________________

116 INTERMEDIATE ALGEBRA, Chapter 1 Form D


17. Daniel has test grades of 62, 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, 11,12 and 4, 10, 11, 12, 13 A B .

18. Find BA . 18. ____________________ 19. Find BA . 19. ____________________ For Exercises 20-23, solve each compound or absolute value inequality. Give the solution set in both interval and graph forms. 20. 753or 1518 xx 20. ____________________

21. 613or 1013 xx 21. ____________________

22. 1293 t 22. ____________________

23. 3275 r 23. ____________________


25. 3 4 14 8x 25. ____________________


INTERMEDIATE ALGEBRA, Chapter 1 Form E 117

CHAPTER 1, FORM E INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 4 2 5 7( 1)x x x 1. __________

(A) 5

2

(B) 5

2

(C) 9

2

(D) 9

2

2. 2512349 zzz

(A) 2 (B) 3 (C) 7

2⎧ ⎫⎨ ⎬⎩ ⎭

(D) 14

5⎧ ⎫⎨ ⎬⎩ ⎭

2. __________

3. 52.4 0.6 9 0.4y y

(A) 235 (B) 259.3 (C) {47} (D) {51.86} 3. __________

4. 2

7

2

13

5

52 zzz

(A) 5 (B) {4} (C) 35

3⎧ ⎫⎨ ⎬⎩ ⎭

(D) 15

8⎧ ⎫⎨ ⎬⎩ ⎭

4. __________

5. Decide whether 1712431564 xxxx

is a conditional equation, an identity, or a contradiction. (A) Conditional (B) Identity (C) Contradiction 5. _________

6. Solve for h: 1 2

1

2A h b b

(A) 1 22 b b

hA

(B) 1 22h A b b

(C) 1 2

2

A b bh

(D)

1 2

2Ah

b b

6. __________

118 INTERMEDIATE ALGEBRA, Chapter 1 Form E


7. Solve for f: 4 5 7f h f

(A) 7 5

3

hf

(B) 7 1f h

(C) 7 5

3

hf

(D) 3

7 5f

h

7. __________

For Exercises 8-13, solve the problem. 8. Trevor Bayne won the Daytona 500-mile race in 2011, with a time of 3.98 hours. What was his average speed in miles per hour, rounded to the nearest tenth?

(A) 126.7 mph (B) 125.6 mph (C) 132.3 mph (D) 137.9 mph 8. __________

9. The sale price on a new tablet computer is $545.22.

This represents 22% off the regular price. What is the regular price?

(A) $600.78 (B) $699 (C) $731 (D) $705.78 9. __________

10. Tim and Mary invested $1700 in a mutual

fund one year ago. During the year, their fund increased in value by $55.25. What interest rate has their investment earned?

(A) 2.25% (B) 3.25% (C) 4.25% (D) 5.25% 10. _________

11. Two airplanes leave Chicago’s Midway airport at

the same time, traveling in opposite directions. One travels 25 miles per hour faster than the other. After 2 hours, they are 490 miles apart. Find the speed of the faster airplane. (A) 110 mph (B) 135 mph (C) 160 mph (D) 185 mph 11. _________

12. Bob and Ellie invested some money at 2% and $1250

less than that at 1%. Their total annual interest was $302.50. How much did she invest at 2%?

(A) $9900 (B) $9300 (C) $10,500 (D) $15,600 12. _________




3 30x

x x (A) 40 ,40 ,100 (B) 45 , 45 ,90

(C) 25 , 25 ,130 (D) 30 ,30 ,120 13. ________ For Exercises 14-15, solve the inequality. Give the solution set in interval form.

14. 123

4 x

(A) ,16 (B) 16, (C) ,9 (D) 9, 14. ________ 15. 16237 tt

(A) ⎥⎦⎤

⎜⎝⎛

3

14, (B) 4,

(C) 0, (D) ,0 15. ________ For Exercise 16, solve the inequality. Give the solution set in graph form.

16. 1555

25 x 16. ________

(A) (B)

(C) (D)

17. Reggie has test grades of 90, 92, 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? (A) at least 85 (B) at least 81 (C) at least 83 (D) at least 79 17. ________

120 INTERMEDIATE ALGEBRA, Chapter 1 Form E


For Exercises 18-19, Let 4 , 6 , 7 , 9 and 5 , 8 , 10 , 12A B .

18. Find BA .

(A) 4, 5, 8, 10, 12 (B) 6, 8

(C) 4, 5, 6, 7, 8, 9, 10, 12 (D) 18. ________

19. Find BA .

(A) 4, 5, 8, 10, 12 (B) 8,6

(C) 4, 5, 6, 7, 8, 9, 10, 12 (D) 19. ________

For Exercises 20-21, solve each compound or absolute value inequality. Give the solution set in interval form. 20. 1152or 853 x x

(A) 3,1 (B) ,31,

(C) ,31, (D) 3,1 20. ________ 21. 9114 t

(A) ⎥⎦⎤

⎢⎣⎡

5,2

1 (B) 5,

(C) ⎥⎦⎤

⎜⎝⎛

2

1, (D) 5,5 21. ________

For Exercises 22-23, solve each compound or absolute value inequality. Give the solution set in graph form. 22. 62 and 1943 xx 22. ________

(A) (B)

(C) (D)



23. 1753 x 23. ________

(A) (B)

(C) (D)

For Exercises 24-25, solve each absolute value equation. 24. 7952 xx

(A) 12 12

,7 11

⎧ ⎫⎨ ⎬⎩ ⎭

(B) 12 2

,7 11

⎧ ⎫ ⎨ ⎬⎩ ⎭

(C) 2 12

,7 11

⎧ ⎫⎨ ⎬⎩ ⎭

(D) 24. ________

25. 6 3 1 5x

(A) 1

2⎧ ⎫⎨ ⎬⎩ ⎭

(B) 3

2⎧ ⎫⎨ ⎬⎩ ⎭

(C) 3 1

,2 2

⎧ ⎫⎨ ⎬⎩ ⎭

(D) 25. ________

122 INTERMEDIATE ALGEBRA, Chapter 1 Form F


CHAPTER 1, FORM F INTERMEDIATE ALGEBRA

NAME: ______________________________ SECTION: ________

For Exercises 1-4, solve each equation. 1. 2 1 7 3( 8)x x x 1. __________

(A) 25

8

(B) 5 (C) 25

2

(D) 6

2. 92572374 rr

(A) 1 (B) 17 (C) 35

11⎧ ⎫⎨ ⎬⎩ ⎭

(D) 9

19⎧ ⎫⎨ ⎬⎩ ⎭

2.__________

3. 0.04 6 0.02 3.16g g

(A) {3.8} (B) {12.8} (C) {146} (D) {155} 3.__________

4. 9

4

9

122

6

8 zzz

(A) {1} (B) {0} (C) 4

3⎧ ⎫⎨ ⎬⎩ ⎭

(D) 48

17⎧ ⎫⎨ ⎬⎩ ⎭

4.__________

5. Decide whether the equation 29953426 xxx

is a conditional equation, an identity, or a contradiction.

(A) Conditional (B) Identity (C) Contradiction 5._________ 6. Solve for r: 2C r

(A) 2Cr

(B)

2

Cr

(C) 2r C (D) 2

Cr

6._________


INTERMEDIATE ALGEBRA, Chapter 1 Form F 123

7. Solve for k: 3 3 6k h k

(A) 3 6

4

hk

(B) 3 6

4

hk

(C) 4

3 6k

h

(D)

4

3 6k

h

7. __________

For Exercises 8-13, solve the problem. 8. Kevin Harvick won the Daytona 500-mile

race in 2007, with a time of 3.37 hours. What was his average speed in miles per hour, rounded to the nearest tenth? (A) 156.7 mph (B) 148.4 mph (C) 139.6 mph (D) 145.9 mph 8. __________

9. The sale price on a big screen TV is $1612.50. This represents 25% off the regular price. What is the regular price?

(A) $2150 (B) $2015.63 (C) $2000.50 (D) $1948.18 9. __________

10. Perry and Ann invested $18,100 in a mutual

fund one year ago. During the year, their fund increased in value by $814.50. What interest rate has their investment earned?

(A) 3.5% (B) 3.8% (C) 4.5% (D) 4.8% 10. _________

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 the faster car. (A) 40 mph (B) 50 mph (C) 60 mph (D) 75 mph 11. _________



12. Richard and Bonnie invested some money at 3% and $1100 less than that at 2%. Their total annual

interest was $453. How much did they invest at 3%?

(A) $8400.00 (B) $8800.00 (C) $9800.00 (D) $9500.00 12. _________


3 10x

4 50x

(A) 30 ,70 ,80 (B) 25 ,65 ,90

(C) 30 ,50 ,100 (D) 40 ,50 ,90 13. ________ For Exercises 14-16, solve each inequality. Give the solution set in interval form.

14. 62

3 x

(A) 9, (B) ,9 (C) 4, (D) ,4 14. ________ 15. tt 83212 (A) 3, (B) ,3

(C) ⎥⎦⎤

⎜⎝⎛

3

5, (D) 15, 15. ________

For Exercise 16, solve the inequality. Give the solution set in graph form.

16. 465

22 x 16. ________

(A) (B)

(C) (D)

x°


INTERMEDIATE ALGEBRA, Chapter 1 Form F 125

17. Phillip has test grades of 79, 72, 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? (A) at least 70 (B) at least 68 (C) at least 66 (D) at least 73 17. ________

For Exercises 18-19, Let 7 , 9 , 11, 13 and 6 , 11 , 12 , 13A B .

18. Find BA .

(A) 12,9,7,6 (B) 13,11

(C) 13,12,11,9,7,6 (D) 18. ________ 19. Find BA .

(A) 12,9,7,6 (B) 13,11

(C) 13,12,11,9,7,6 (D) 19. ________ For Exercises 20-21, solve each compound or absolute value inequality. Give the solution set in interval form. 20. 8 1 15 or 3 5 7x x

(A) 4,2 (B) ,42,

(C) 4,2 (D) ,42, 20. ________

21. 1293 t

(A) 7,1 (B) ,71,

(C) 7,1 (D) ,71, 21. ________



For Exercises 22-23, solve the compound or absolute value inequality. Give the solution set in graph form. 22. 613or 813 xx 22. ________ (A) (B)

(C) (D)

23. 3275 r 23. ________

(A) (B)

(C) (D)

For Exercises 24-25, solve each absolute value equation. 24. 675 xx

(A) 1

6⎧ ⎫⎨ ⎬⎩ ⎭

(B) 1 11

,6 8

⎧ ⎫⎨ ⎬⎩ ⎭

(C) 11 1

,8 6

⎧ ⎫ ⎨ ⎬⎩ ⎭

(D) 1

6⎧ ⎫⎨ ⎬⎩ ⎭

24. ________

25. 8 2 6 12x

(A) 5

2

(B) 5

2,2

(C) 2 (D) 25. ________

CHAPTER 1, FORM A INTERMEDIATE ALGEBRA NAME: SECTION: …

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