chapter 1, form a intermediate algebra name: section: …
TRANSCRIPT
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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
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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. ____________________
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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
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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. _____________________
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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. ____________________
13. Find the measure of each angle.
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
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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. ____________________
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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
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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. ____________________
13. Find the measure of each angle.
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. ____________________
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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. ____________________
For Exercises 24-25, solve each absolute value equation. 24. 7952 xx 24. ____________________
25. 6 4 8 12x 25. ____________________
114 INTERMEDIATE ALGEBRA, Chapter 1 Form D
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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. _____________________
Copyright © 2016 Pearson Education, Inc.
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
Copyright © 2016 Pearson Education, Inc.
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. ____________________
For Exercises 24-25, solve each absolute value equation. 24. 675 xx 24. ____________________
25. 3 4 14 8x 25. ____________________
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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
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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. _________
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INTERMEDIATE ALGEBRA, Chapter 1 Form E 119
13. Find the measure of each angle.
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
Copyright © 2016 Pearson Education, Inc.
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)
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INTERMEDIATE ALGEBRA, Chapter 1 Form E 121
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
Copyright © 2016 Pearson Education, Inc.
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._________
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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. _________
124 INTERMEDIATE ALGEBRA, Chapter 1 Form F
Copyright © 2016 Pearson Education, Inc.
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. _________
13. Find the measure of each angle.
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°
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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. ________
126 INTERMEDIATE ALGEBRA, Chapter 1 Form F
Copyright © 2016 Pearson Education, Inc.
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. ________