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Accelerated Algebra 1
Review Worksheet for
Quiz on Sections 5-1 to 5-6
I. List all the positive factors.
1. 80 __________________________________
2. 36 __________________________________
II. Find the prime factorization of each number.
3. 150 _________________
4. 360 _________________
III. Find the GCF of each pair of monomials. (any method)
5. 36, 84
____________
6. 48, 120
7. 54, 90, 126 ____________
8.
____________
48a3b2c, 72a5bc2 ____________
IV. Use prime factorization to find the GCF.
9. 12an2, 40a4
10. 21p5q, 35p7q2
11. 32m2n3, 8m2n, 56m3n2
V. Find the missing factor.


12. 28x 4 y 5   4 xy3 (________)

14. 2 x 3 y
  2 x y  (_____________)
5
3
3

 
13. 36m 5 n 7  2m 3 n 6n 4 (________)
VI. Simplify.
53
15.
55
18.
 xy 7
xy 7
14 x  21 10 x  25

21.
7
5
24.
15n 7
16.
3n 3
19.
36a 3bc 2
17.
48ab 4 c 2
 24a 5b 4 c
16a 7 b 2 c 3
20.
36m  48mn
22.
6m
30 p 4 q  45 p 3 q 2  15 p 2 q 3
5 p2q
43 n8
46 n 6
a 2 b  2ab 2
2ab  b 2

23.
ab
b
24 x 3 y 2  36 x 2 y 3  48x 3 y 3
25.
 6x 2 y 2
VII. Factor Completely. (Take out the GCF)
26. 18 x  12 y  36
27.  15 x 2 y 2  6 xy 2
28. 30m 5  40m 4 n  60m 3 n 3
29.  32a 2 b 2  56a 2 b  112ab 3
VIII. Multiply.
30. (y + 6)(y + 3)
31. (a + b)(2a – 3b)
32. (x – 8)(x + 8)
33. (5x – 3)(2x + 1)
34. (3x + 5)(3x – 5)
35. (y + 4)2
36. (5x + 6y)2
37. (2m – 1)(m + 8)
38. (2x – 3)(2x + 3)
39. (4w – 5)2
40.
m
42. (7c3 – d3)2
43.
3x
2
5

 2n 2 m 2  2n 2


 2 x5  3
IX. Find the area of the shaded region in factored form.
45.
r
r
4r

41.
2x
2


 4 2x 2  5
44. (4x – 5)(2x + 3)
Answers
1. 1, 2, 3, 5, 8, 10, 16, 20, 40, 80
4. 23 ∙ 32 ∙ 5
5. 12
10. 4a
11. 7p5q
16.
1
25
22. 1
17. 5n4
23.
28. 6p2 – 9pq + 3q2 29.
10m3(3m2 – 4mn + 6n3)
36. y2 + 9y +18
37.
40. 9x2 – 25
41.
2
44. 4x – 9
45.
48. 49c6 – 14c3d3 + d6
 3b 2
2a 2 c 2
2. 1, 2, 3, 4, 6, 9, 12, 18, 36
6. 24
7. 18
8. 24a3bc
12. 8m2n
13. –7x3y2
14. 3m2n2
ab
a b
18.
3a 2
4b 3
19. –x6
20.
24.
1
ab
25. 2
26. 6 – 8n
3. 2 ∙ 3 ∙ 52
9. 2(m – n)
15. 4x6y2
21.
n2
64
27. –a + 3b
–4x – 6y + 8xy
30. 6(3x – 2y + 6)
31.
33. –8ab(4ab + 7a – 14b2) 34. 430
35. 190
2a2 –ab – 3b2
38. x2 – 64
39.
2
y + 8y + 16
42. 25x2 + 60xy + 36y2
43.
2
4
4
16w – 40w + 25
46. m – 4n
47.
49. 3x10 – 7x5 – 6
50. 8x2 + 2x – 15
51.
–3xy2(5x + 2)
10x2 – x – 3
2m2 + 15m – 8
4x4 + 2x2 – 20
2r2(8
32.