Download Algebra Intro - Quarter 1 Benchmark Review

Name: ______________________ Class: _________________ Date: _________
Algebra Intro - Quarter 1 Benchmark Review
Short Answer
Write an algebraic expression for each verbal expression.
1. the product of 5 and twice a number
2. the sum of one-third of a number and 27
3. the sum of the cube of a number and 12
4. 42 decreased by twice some number
Write a verbal expression for each algebraic expression.
5. 4n 3 + 6.
6. 5n 3 + 9.
7. 7 + t = 11
Evaluate each problem below.
8. 32 + 5 + 8 + 15
9. 32 + 6 • 4 + 7 • 4 + 16
10. 1 • 4 • 9 • 1
3
2
11. 6 • 8 + 29 + 7 + 3 • 7
12. 2 3 [(15 – 7) ÷ 2].
3
13.
4[3 − 5 (8 − 6 )]
2
3 −7
.
1
ID: A
Name: ______________________
3
ID: A
2
14.
5•2 −4•3
.
1+3
15.
6 + 3 (4 )
.
7−1
2
2
16. 6 + 4 • 3 .
10 − 1
2
17.
2
6 + (3 + 4) − (21 ÷ 3 + 4 • 2)
4
3
14 − 3 • 1 + 2 − (5 − 1) • 2
.
Substitute and Evaluate
18. 3w + (8 – v)t if w = 4, v = 5 and t = 2.
19. 4w + (v – 5)t if w = 2, v = 8, and t = 4.
20. w2 + n(v2 – t) if w = 4, n = 8, v = 5, and t = 2.
21. 3nw − w 2 + t 3 if w = 4, n = 8, v = 5, and t = 2.
Name the set or sets to which each number below belongs.
22.
21
3
23. − 49
24.
36
4
25. 0
26. -0.33333....
2
Name: ______________________
ID: A
Simplify completely
27. (4y2 + 3y – 7) + (4y2 – 7y – 2)
28. (3a 3 – 4b) – (2a 3 – b)
29. 3x2 y(2x2 y – 5xy2 + 8y3 x2 )
30. 5hk2 (2h 2 k – hk3 + 4h 2 k2 )
31. (11m 2 – 2m n + 8n 2 ) + (8m 2 + 4m n – 2n 2 )
32. (x2 + 5y) – (2x2 + 6y)
33. 5n 2 (n – 6) – 2n(3n 2 + n – 6) + 7(n 2 – 3).
34. (7u 2 v – 3uv + 4uv2 ) – (4uv – 3u 2 v – 2uv2 )
35. (8w2 + 4w – 2) + (2w2 – w + 6)
36. 15w – 6w + 14w2
37. 7(2y + 1) + 3y
38. 4w2 + 7w2 + 7z2
39. 3x + 4(5x + 2)
40. 3 + 6(5a + 4an) + 9na
41. 7a + 7a 2 + 14b 2
Solve
42. 1 = y − 5
9
9
43. –5 = v – 12
3
Name: ______________________
ID: A
44. 14 = − s
5
45. –8x = –56
46. − 7 y = −6
9
47. 12 + r = 3
48. 1 = x − 2
5
5
49. –12 = p – 7
50. –7b = –35
51. 31 = − n
6
52. − 5 w = −9
8
53. –6n = 16
54. −13 = − n
4
55. n + 39 = 12
56. w + (–8) = –21
4
Name: ______________________
ID: A
Use the table that shows 2006 airmail letter rates to Greenland.
Weight (oz)
5.0
6.0
7.0
8.0
Rate ($)
4.20
5.05
5.90
6.75
57. Write the data as a set of ordered pairs.
58. Draw a graph that shows the relationship between the weight of a letter sent airmail and the total cost.
Use the graph.
59. State the location of each point above as an ordered pair.
Use the graph.
60. What Quadrant is the point (-3, 3) located in?
5
ID: A
Algebra Intro - Quarter 1 Benchmark Review
Answer Section
SHORT ANSWER
1. 5(2x)
2. 1 n + 27
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
3
n 3 + 12
42 –2n
4 times n cubed plus 6
5 times a number cubed plus 9
Seven plus a number is equal to eleven.
60
100
6
105
32
34
1
7
6
35
11
18
20
200
88
natural numbers, whole numbers, integers, and rational numbers
integers and rational numbers
natural numbers, whole numbers, integers, and rational numbers
Rational numbers, integers, whole numbers
Rational Numbers
8y2 – 4y – 9
a 3 – 3b
6x4 y2 – 15x3 y3 + 24x4 y4
10h 3 k3 – 5h 2 k5 + 20h 3 k4
19m 2 + 2m n + 6n 2
–x2 – y
–n 3 – 25n 2 + 12n – 21
10u 2 v – 7uv + 6uv2
10w2 + 3w + 4
9w + 14w
2
1
ID: A
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
17y + 7
2
2
11w + 7z
23x + 8
3 + 30a + 33an
simplified
2
3
7
–70
7
5
7
7
–9
3
5
–5
5
–186
2
14
5
2
−2
3
52
–27
–13
(5.0, 4.20), (6.0, 5.05), 7.0, 5.90), (8.0, 6.75)
58.
59. (-3, -1), (-3, 2), (0, 1), (4, 3)
60. Quadrant II
2