Ch
Practice B
Solving Absolute-Value Equations
Solve each equation.
1. [pic]( 12 2. [pic]( [pic] 3. [pic]( 6 ( 4
4. 5 ([pic]( 14 5. 3[pic]( 24 6. [pic]( 10
7. [pic]( 2 8. 4[pic]( 12 9. [pic]( 3 ( 9
10. [pic]( 18 11. [pic]( 0 12. [pic]( 2 ( 2
13. How many solutions does the equation [pic]( 1 have? _____________________________
14. How many solutions does the equation [pic]( 0 have? _____________________________
15. How many solutions does the equation [pic]( (1 have? ______________________________
Leticia sets the thermostat in her apartment to 68 degrees. The actual temperature in her apartment can vary from this by as much as
3.5 degrees.
16. Write an absolute-value equation that you can
use to find the minimum and maximum temperature. ______________________________
17. Solve the equation to find the minimum and
maximum temperature. ______________________________
Practice C
1. w ( [pic] 2. vf ( at ( vi
3. f ( [pic] 4. a ( 12 ( 5b
5. x ( [pic] 6. h ( [pic]
7. r ( s(t ( 9) 8. n ( [pic]
9. a. a ( [pic] 10. a. t ( [pic]
b. 19 m/s2 b. 8 years
Review for Mastery
1. s ( [pic] 2. b ( 180 ( a – c
3. K ( [pic] 4. w ( [pic]
5. 12 in.
6. add –x to both sides
7. multiply both sides by 2
8. add 3r to both sides
9. a ( [pic] 10. z ( 3(y ( x)
11. m ( pn ( 3
Challenge
1. l ( 375 2. P ( 2000
3. t ( 5 years
4. r ( 0.032 or 3.2%
5. $351 6. 3 years
7. $2200 8. 0.03 or 3%
9. $247 10. 5 years
11. 0.027 or 2.7%
Problem Solving
1. r ( [pic] 2. 9.1 m/s
3. 8.5 m/s 4. 0.4 m/s
5. B 6. F
7. D 8. J
Reading Strategies
1. Possible answer: 3x ( 2y ( 9
2. The equation contains only one
variable, n.
3. Yes, because it has two or more variables.
4. Divide both sides by r.
5. t ( [pic]
6. a. h ( [pic]
b. 3 cm
LESSON 2-6
PRACTICE A
1. (3; 2; (2; 2
2. (7; 7; 4; 4; 4; 4; (11; 3
3. 6; (6; 6; (5; 7
4. {(8, 8} 5. {(14, 14}
6. {(9, 9} 7. {(17, 17}
8. {(11, 7} 9. {(1, 11}
10. {(5, 5} 11. {(7, 3}
12. {(11, 9}
13. [pic]
14. 22 miles per gallon; 26 miles per gallon
Practice B
1. {(12, 12}
2. [pic]
3. {(10, 10}
4. {(9, 9}
5. {(8, 8}
6. {(13, 7}
7. {(1, 3}
8. {2, 8}
9. {(14, 10}
10. {(3, 3}
11. {1}
12. {3}
13. two 14. one
15. none 16. [pic]
14. 64.5(; 71.5(
Practice C
1. [pic] 2. {0}
3. {(10.5, 10.5} 4. (
5. {(7, 7} 6. {(11}
7. [pic] 8. [pic]
9. {(6.6, 8.6} 10. {(8, 3}
11. [pic] 12. [pic]
13. [pic] 0.005; 2.995 m; 3.005 m
14. [pic] 1.5; (6.5(C; (3.5(C
Review for Mastery
1. {(6, 10} 2. {(15, 1}
3. {0, 10} 4. {(3, 3}
5. {2} 6. (
7. ( 8. {(10}
Challenge
1. [pic]
2. yes; possible answer: [pic]
3. [pic]
4. [pic]
5. [pic]
6. [pic]
7. [pic]
8. [pic]
9. [pic]
10. [pic]
Problem Solving
1. [pic]; 69.98 cm; 70.02 cm
2. [pic] = 0.021; 52.979 m; 53.021 m
3. (1 and 11 4. 11.9 cm
5. B 6. G
7. C
Reading Strategies
1. one
2. two
3. none
4. one
5. none
6. two
LESSON 2–7
PRACTICE A
1. 20 2. 58 ft/s
3. $1.05/lb 4. 2.5 pages/min
5. y ( 4 6. x ( 18
7. m ( 2 8. t ( 75
9. b ( (4 10. x ( 1
11. 150 in. 12. 160 mi
Practice B
1. 15 2. $0.49/lb
3. 0.1 cars/min 4. 46.9 ft/s
5. y ( 5 6. x ( (0.4
7. m ( (96 8. t ( [pic]
9. b ( 20 10. x ( 3.5
11. 185 in. 12. 3.7 cm
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LESSON
2-6
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