Page 11 of 12
CHAPTER 11
Solve the proportion. Check for extraneous solutions. (Lesson 11.1)
x
8
1. = 2
x
9
15
2. = m
10
cº4
c 2 º 16
3. = 3
c+4
3
x+2
4. = 5
6
7
14
5. = nº5
2
12
5+t
6. = 8
tº3
º9
x + 15
7. = x º 10
16
143
x + 30
8. = x º 18
º4
Solve the percent problem. (Lesson 11.2)
9. What number is 40% of 60?
10. 75 is what percent of 250?
12. 8 is 20% of what number?
11. How much is 4% of 525 pounds?
13. 35% of 720 is what number? 14. 12% of what amount is $1482?
Decide if the data in the table show direct or inverse variation. Write an
equation that relates the variables. (Lesson 11.3)
15.
x
0.5
1
2
4
y
4
2
1
0.5
16.
x
0.5
1
2
2.5
y
1.5
3
6
7.5
Simplify the expression if possible. (Lesson 11.4)
12x 4
17. 42x
5x 2 º 15x 3
18. 10x
x 2 º 8x + 15
20. xº3
x+6
19. 2
x + 7x + 6
GEOMETRIC PROBABILITY A coin is tossed onto the large
square region shown. It is equally likely to land on any point
in the region. (Lesson 11.4)
Area:
x2
2x
21. Find the probability that the coin lands in the small square.
Area:
22. Find the probability that the coin lands in the circle.
π
x2 2
2x
Simplify the expression. (Lesson 11.5)
3x 15
23. • 5 18x
4x 2 14
24. • 8x
7
2x 2 6x 3
25. • 2
3x 20x
4(x + 4)
xº3
26. • 5(x + 4)
xº3
1
6x
27. ÷ 4x
15
10x 2
28. • (x º 5)
x 2 º 25
5x
xº8
29. ÷ xº3
xº3
x 2 + 5x º 36
30. ÷ (x2 º 16)
x2 º 81
Simplify the expression. (Lesson 11.6)
20
15
31. º 5x
5x
4
8
32. + x+2
x+2
3
7
33. º x+7
xº4
5
5x + 3
34. + 2
x
º
5
x º 25
7
1
35. º 2
2x
9x
x+1
3x
36. + 2
2
6x + 13x + 2
x + 5x + 6
Divide. (Lesson 11.7)
37. Divide 14x 3 + 7x 2 + x by 7x.
38. Divide x 2 + 6x º 16 by x + 8.
39. Divide 12x 2 º 2x º 2 by 3x + 1.
40. Divide 2x 3 + 9x 2 º 6x + 2 by 2x + 1.
Solve the equation. (Lesson 11.8)
4
x
41. = xº6
10
º2
4+x
42. = 3x
6
4
2
6
43. + = x
3
x
x
11
44. º = 7
xº5
xº5
1
5
45. = xº3
x+9
5
4
46. + 1 = 2
xº1
x + 3x º 4
Extra Practice
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