Algebra 2
Placement Review
1. Show that 2.44 is a rational number by
expressing it as the ratio of two integers.
2. Find the absolute value of
3. Add
−0.2
write an equivalent expression to v( wi x)
19. Simplify
10 xy
5x
20. Multiply
19(2r + 3)
21. Factor
3x + 54 xy
–3.12 + (–2.4)
4. Find the additive inverse of 5
5. Subtract
18. Use the associative property of multiplication to
8 ⎛ 7⎞
−⎜− ⎟
9 ⎝ 12 ⎠
6. Find the reciprocal of –8
Simplify
22. 3x − (9 − 7 x)
7. Multiply
2 ⎛ 6⎞
− i⎜ − ⎟
7 ⎝ 5⎠
23. 4 − 3 [3t − (−2 − 4 s + 2t ) ]
8. Divide
5 ⎛ 3⎞
÷⎜− ⎟
16 ⎝ 4 ⎠
−3 x + 20 = 2
Are the following divisions possible? Write yes
or no.
7
9.
0
10.
0
0
x−x
11.
4
12.
4
x−x
Evaluate each expression for x = –2 and y = 3.
13. − ( 2 x − 3 y − 3)
14. 3 4 − x − y − x
15. Use the commutative property of addition to
write an equivalent expression to 7 x + 8 y
16. Use the associative property of addition to write
an equivalent expression to 3 x + ( 5 y + 6 )
17. Use the commutative property of multiplication
to write an equivalent expression to (3a)(4b)
24. Determine whether –6 is a solution of
Solve.
25. x + 11 = 2
26. −13 x = −78
27. 3 x − 5 = −13
28. 9 − 5 x = x − 15
29. 3s − 1 + 5s = 2 s + 7 − 4 s
30. A piece of wire 16 m long is cut into two pieces
so that one piece is three fifths as long as the
other. Find the length of each piece.
3
5
lb is
lb?
31. What percent of
8
6
32. Write 3 xi3 xi3 xi3 x using exponential
notation.
33. Write an equivalent expression for 3 x 4 y −3 .
Simplify
34. −42
35. ( −4x )
2
Simplify.
36. 3 ( 3x 2 )
(
2
)(
37. 6a 3b −5 3a −2b8
)
Algebra 2
38. ( −2x 3 y
Placement Review
50. The perimeter of a rectangular park is 820 m.
)
−4 3
The length is 70 m more than the width. Find
56r −3 s 7t
39.
14r −3 s 3t 2
⎛ 3p q ⎞
40. ⎜
⎟
3
⎝ 6p q ⎠
5
−2
the dimensions of the park.
4
(
)
2
2
⎡
⎤
41. Simplify ⎢ 6 − ( −6 ) ÷ 3 + 5 ⎥
⎣
⎦
Express in scientific notation.
51. Solve
V=
52. Solve
t=
A
2−c
for c.
3
( 5 x − 1) for x.
2
53. Determine whether –8 is a solution of
−2 x − 10 ≥ 6
42. 62,000,000
Solve and graph the solution on a number line.
43. 0.0000137
54. 8 < 2 − 3x
Simplify. Express answers in scientific notation.
55. 3 − 2 s ≤ s − 6
(
)(
44. 2.7 × 10−5 3.0 ×10−8
45.
)
1.12 ×10−3
4 ×10−5
Solve.
46.
3
4 5
7
x− = x−
4
5 2
5
47. (t − 3)(2 + 3t ) = 0
48. 3 ⎡⎣ x − 3 ( x − 1) + 2 x − 5⎤⎦ = x − ( 3 x − 2 )
49. Five more than three times a number is one less
than seven times half of the number. Find the
number.
56. Brian made scores of 71, 85, and 87 on 3 exams.
He must earn a total of 340 points on 4 exams to
get a B. What score must he get on the fourth
exam to get a B?
Solve, then graph.
57. −3 < 2t − 5 < 3
58. 7 ≥ 2 − x ≥ 5
59. 2 p − 1 < 5
60. 3 − 2r ≥ 7