Algebra 1 Chapter 11 Practice Test

Algebra 1 Chapter 11 Practice Test
Replace the __?__ with , or = to make a true statement.
1.
17 15
______
23 19
2. 197 2 ______ 33
6 7
Arrange each group of numbers in order from least to greatest.
3.
39 41
5 2 11 12
− , −4.7,
− 4. , , ,
8 9
7 3 15 17
Find the number halfway between the given numbers.
5.
27 31
and 6.
41 37
2 1
− 5 and9
7 4
Express each rational number as a terminating or repeating decimal.
7. 4 9
8.
11
3 20
9. 41
55
Express each rational number as a fraction in simplest form.
10. 0.77 11. 0.6 12. 2.37
Express both numbers as fractions. Then find their product.
13. 2 0.63
5 and 14. 2
0.4 and
3

Find the indicated square roots.
15. 441 16. 2704 17. 10816
18. 0.64 19. 0.0144 20.
81
225
21.
324
1936
22.
320
405
Simplify.
23. 63 24. 2 52 25. 5 175
26. 192 27. 224
Approximate to the nearest tenth by using a calculator.
28. 720 29. 440 30. − 5400
Simplify.
31.
2
169m 32.
4
125x 33.
−
6
36t

34.
4 6
324r s 35.
x
2
+ 8x+ 16
36.
a
2
− 4a+
4
Find both roots of each equation to the nearest tenth.
37.
2
a = 132
38.
2
b − =
208 0
Refer to the right triangle shown at the right. Find the missing length to the nearest hundredth.
39. a = 3, b = 4, c = ? 40. a = 5, b = 8, c = ? 41. a = 8, b = ?, c = 16
State whether or not the three numbers given could represent the lengths of the sides of a right triangle.
42. 21,28,35 43. 9,9,12 44. 45,60,75
Simplify.
45. 3⋅ 4 3
46. 2 5⋅ 3 5
47. 7⋅ 6⋅
2
48.
7 45
⋅ 49.
5 14
5 4
12 20
5 ⋅ 2
50.
6 7
4 3

Simplify. Assume all variables represent positive real numbers.
2
51. ( 3 y)( − 5 xy)
52. n( n )
3 + 3
Simplify.
53. 9 3− 5 3
54. 7 2+ 6 2
55. 3 54 − 2 6
56. −10 18 − 5 32
57.
8 −
5
6
Simplify.
58. ( 5− 3)( 5+ 3)
59. ( 7+ 6)( 7 − 6)
60. ( 4+
2) 2
61. ( 4 5− 6)( 2 7+
7)
Rationalize the denominator of each fraction.
62.
5
3+
7
Solve.
63. m = 7
64.
3
6x = 65. a − 5=
4
2

x
66. = 6
67. n − 2 = 9
68. 4 5t = 8
3
69. 3z + 2= 5
70. 8 n = 24 5