Download Quiz 2

Accelerated Algebra 2
Chapter 5 Review
Name
Date
Period
1. List all the factors of 72
2. Write the prime factorization of 504
Find the GCF of each pair of monomials. (any method)
3. 54a5b3c2, 60a7bc4
5. Find the missing factor:
4.
5m2(2m + 1)(m – 3), 2m(m – 3)(3m + 2)
(2x4y)6 = (2x5y)4( ? )
Simplify.
6.
48a 3b 7 c 2
40a 5 b 4 c 2
 8m 2 n 2 

9. 
 12mp 
7.
0
( m  n) 2 ( m  n)
(m  n)(m  n) 2
24 x 2 y 3  18 x 3 y 2
10.
6 x 2 y
8.
53 n10
55 n 7
a 2 b  3ab 2
5ab  b 2
11.

ab
b
Accelerated Algebra 2
Chapter 5 Review
Multiply.
12. (y + 7)(y + 6)
13. (a + b)(3a – 2b)
14. (x – 14)(x + 14)
15. (4x – 3)(2x + 1)
16. (5x + 3)(5x – 3)
17. (y + 6)2
18. (5m3 – 3p3)2
19. (3x5 + 8)(x5 – 2)
20. (5x – 9)(2x + 3)
21. mn(m + 2n)(m – 3n)
22. (2x – 3)(x2 – 10x + 4)
23. 3a(2a + 5)2
Factor.
24. x2 – 8x – 48
25. a3 + 4a2 – a – 4
26. 24x2 +48xy – 30y2
27. 3x3 + 10x2 – 8x
28. 24m2 – 54c2
29. 36x2 – 84xy + 49y2
30. 24x3 + 44x2 – 40x
31. w4 + 2w2 – 24
32. 5c3 – 45c – 18 + 2c2
33. 16x2 – 28x + 10
34. y2 + 4y – 192
35. 12x5 + 7x3 – 10x
Accelerated Algebra 2
Chapter 5 Review
Solve.
36.
(a + 13)(a + 8) = 0
37.
(2x – 5)(3x + 2) = 0
38.
m(2m + 7)(3m – 4) = 0
39.
y2 – 7y – 18 = 0
40.
x2 – 21x = – 20
41.
3m2 + 1 = 4m
42.
w3 – 9w = 0
43.
5p2 – 20p = 0
44.
6 – 23n = 4n2
45.
6x3 + 7x2 – 3x = 0
Accelerated Algebra 2
Chapter 5 Review
Define your variable, write an equation, and solve by factoring.
46. The sum of a number and its square is 132. Find the number.
47. The sum of the squares of two consecutive positive odd integers is 202. Find the
numbers.
48. A rectangle is 8 cm longer than it is wide. The area is 240 cm2.
49. The sum of two numbers is 12 and the sum of their squares is 74. Find the numbers.
50. If a rectangle that is 18 cm by 15 cm has the length and width decreased by the same
amount the original area is decreased by 144 cm2. Find the new dimensions.
Accelerated Algebra 2
Chapter 5 Review
Answers
1. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24,
36, 72
2. 23•32•7
3. 6a5bc2
4. m(m – 3)
5. 4x4y2
6b 3
6.
5a 2
mn
7.
mn
n3
8.
25
9. 1
10. 4y2 + 3xy
11. –4a + 4b
12. y2 + 13y + 42
13. 3a2 + ab – 2b2
14. x2 – 196
15. 8x2 – 2x – 3
16. 25x2 – 9
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
y2 + 12y + 36
25m6 – 30m3p3 + 9p6
3x10 + 2x5 – 16
10x2 – 3x – 27
m3n – m2n2 – 6mn3
2x3 – 23x2 + 38x – 12
12a3 + 60a2 + 75a
(x – 12)(x + 4)
(a + 4)(a + 1)(a – 1)
6(2x + 5y)(2x – y)
x(x + 4)(3x – 2)
6(2m + 3c)(2m – 3c)
(6x – 7y)2
4x(2x + 5)(3x – 2)
(w2 + 6)(w + 2)(w – 2)
(5c + 2)(c + 3)(c – 3)
2(4x – 5)(2x – 1)
(y + 16)(y – 12)
x(3x2 – 2)(4x2 + 5)
{–13, –8}
 2 5
 3 2
4
 7
38.  , 0, 
3
 2
37.  , 
39.
{–2, 9}
40. {1, 20}
 1
 3
41. 1, 
42. {–3, 0, 3}
43. {0, 4}
1

4

1
 3
45.  , 0, 
2
3

44.  6, 
46.
47.
48.
49.
50.
11 or –12
9, 11
12 cm by 20 cm
5 and 7
14cm by 9cm