Algebra 2 1.Review Answers (textbook)

1
CHAPTER TEST
Additional Resources
Graph the numbers on a number line. 1, 2. See margin.
7 , 6.5, Ï}
1
1. 22, 2}
30 , }
4
3
Assessment Book
3
9 , 0.8, 25.5, 2Ï}
2. }
10 , 2}
4
2
Chapter Test, Levels A, B, C
Standardized Chapter Test
• SAT/ACT Chapter Test
• Alternative Assessment
•
•
Use properties and definitions of operations to show that the statement is
true. Justify each step. 3, 4. See margin.
3. 5 1 (x 2 5) 5 x
4. (3d 1 7) 2 d 1 5 5 2d 1 12
Test Generator
Evaluate the expression for the given values of x and y.
5. 4x 2 6y when x 5 5 and y 5 23 38
6. 3x 2 2 9y when x 5 2 and y 5 4 224
Chapter Test
Easily-readable reduced copies (with answers) of Chapter
Test B, the Standardized
Chapter Test, and the
Alternative Assessment from
the Assessment Book can be
found on pp. 1E–1F.
Simplify the expression.
7. 5n 1 10 2 8n 1 6 23n 1 16
2
2
8. 10m 2 4(3m 1 7) 1 6m 4m 2 28
9. 11 1 q 2 3q 1 18q 2 2 15q 1 q 1 9
2
11. 5(x 2 3y) 1 2(4y 2 x) 3x 2 7y
10. 9t 2 1 14 2 17t 1 6t 2 8t 2 t 2 2 11t 1 14
12. 5(2u 1 3w) 2 2(5u 2 7w) 29w
Solve the equation. Check your solution.
13. 5n 1 11 5 29 24
10
16. y 5 }3 x 2 }
;
7
7
1
1}
7
1
17. y 5 2}4x 1 3;
2}1
2
230
18. y 5 }
;
15 1 2x
1
21}
5
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14. 6k 1 7 5 4 1 12k 0.5
15. 2t 2 2 5 9(t 2 8) 7
Solve the equation for y. Then find the value of y for the given value of x.
1.
16. 12x 2 28y 5 40; x 5 6
2.
17. x 1 4y 5 12; x 5 2
18. 15y 1 2xy 5 230; x 5 5
Solve the inequality. Then graph the solution. 19–21. See margin for art.
19. 25x 2 6 < 19 x > 25
20. x 1 22 * 23x 2 10 x * 28
21. 5 < 2x 1 3 ) 11 1 < x ) 4
Solve the equation. Check for extraneous solutions.
1
22. °3d 2 4° 5 14 23}, 6
3
23. °f 1 3° 5 2f 1 4 21
24
210
28
21.
Solve the inequality. Then graph the solution. 25–27. See margin for art.
25. °x 2 5° ) 30 225 ) x ) 35
26. °3y 1 4° > 2 y < 22 or y > 2}2 27.
3
2
°}3 z 2 5° < 5
0 < z < 15
8
12
26
22
2
6
26
24
24
22
0
22
0
2
4
6
225
25.
27.
29. CAR REPAIR The bill for the repair of a car was $420. The cost of parts
0
26
220
35
0
26.
home, you buy a network router for $75. The fee for DSL service is $18 per
month. Write an expression for the amount of money you spend in
n months. How much money do you spend in 12 months? 18n 1 75; $291
22
28
240
28. WIRELESS NETWORK To set up a wireless network for Internet access at
4
3–4. See below.
19.
20.
24. °10 2 7g° 5 2g 1}1 , 2
9
0
20
40
2
23
24
23
22
21
0
26
0
6
12
18
was $240. The cost of labor was $45 per hour. How many hours did the
repair take? 4 h
30. HOUSEHOLD CHORES You can wash one window in 15 minutes and your
sister can wash one window in 20 minutes. How many minutes will it take
to wash 12 windows if you work together? about 103 min
3V
31. h 5 }
;
2
pr
about 10.7 in.
31.
1
3
GEOMETRY The formula V 5 } πr 2h gives the volume V
r
h
of a cone with height h and base radius r. Solve the formula for
h. Then find h when r 5 2 inches and V 5 45 cubic inches.
Chapter Test
3. 5 1 (x 2 5) 5 5 1 (x 1 (25)) Def. of subtraction
5 5 1 ((25) 1 x ) Comm. prop. of addition
5 (5 1 (25)) 1 x Assoc. prop. of addition
501x
Inverse prop. of addition
5x
Identity prop. of addition
4. (3d 1 7) 2 d 1 5 5 (3d 1 7) 1 (2d ) 1 5
Def. of subtraction
5 3d 1 (7 1 (2d )) 1 5
Assoc. prop. of addition
5 3d 1 ((2d ) 1 7) 1 5
Comm. prop. of addition
5 (3d 1 (2d )) 1 (7 1 5) Assoc. prop. of addition
5 2d 1 12
Combine like terms.
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