Ch - 9th grade math
Practice C
Solving Absolute-Value Equations
Solve each equation.
1. [pic]( [pic] 2. 2[pic]( 0 3. [pic]( 2.5 ( 8
4. [pic]( 6 ( (4 5. (9[pic]( (63 6. [pic]( 0
7. [pic] 8. 3[pic]( (15 9. [pic]( 1.4 ( 6.2
10. [pic]( 11 11. [pic]( 3 ( 0 12. 15 = 7 ( [pic]
Answer each question.
13. A carpenter cuts boards for a construction project. Each board must be 3 meters long, but the length is allowed to differ from this value by at most 0.5 cm. Write and solve an absolute-value equation to find the minimum and maximum acceptable lengths for a board.
14. The owner of a butcher shop keeps the shop’s freezer at (5°C. It is acceptable for the temperature to differ from this value by 1.5°. Write and solve an absolute-value equation to find the minimum and maximum acceptable temperatures.
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
Solving Absolute-Value
Equations
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
Rates, Ratios, and Proportions
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
Practice C
1. 18 2. 4.8 lb/book
3. $7.90/h 4. 293.3 ft/s
5. x ( (1.5 6. b ( (0.5
7. s ( 0.6 8. y ( 2
9. x ( 10 10. y ( [pic]
11. 125.5 ft 12. 3.2 in.
Review for Mastery
1. [pic] 2. [pic]
3. [pic]
4. [pic]; [pic]; 40,612
5. 320 c/min 6. x ( 2.5
7. k ( 3 8. a ( 10.75
9. y ( 30
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