Power Packet
Algebra 1 – Unit 7
Name ________________
This packet may be used on your test and will be
collected when you turn your test in.
Solve equations in factored form / 1 – 9
Factor quadratic equations using GCF / 10 – 21
Factor x2 + bx + c / 22 – 36
Factor ax2 + bx + c / 37 – 51
Factor special patterns / 52 – 57
Mixed review / 58 – 72
Algebra 1 – Unit 7 – Solve Equations in Factored Form
Questions 1 – 9: Solve the equation.
1.
x(x + 7) = 0
2.
12h(h – 5) = 0
3.
(s – 9)(s – 1) = 0
4.
(q + 3)(q – 2) = 0
5.
(h – 8)2 = 0
6.
(2x + 1)(x – 5) = 0
7.
3x(2x – 5) = 0
8.
(3x + 1)(x – 6) = 0
9.
(5x + 1)(2x + 9) = 0
12.
3y3 – 9y2
Algebra 1 – Unit 7 – Factor Quadratic Equations Using GCF
Questions 10 – 15: Factor the polynomial.
10. 5z2 + 45z
11.
8m2 + 4m
13. 20x3 + 30x2
14.
4w3 – 8w + 12
15.
5t2 + 20t + 50
18.
3n2 = 9n
21.
10x 3  6x 2  2x
2x
24.
n2 + 8n + 12
Questions 16 – 18: Solve the equation.
16. 4p2 – p = 0
17.
6m2 + 12m = 0
Questions 19 – 21: Perform the operation.
19.
2x 2  5x
x
20.
3x
2

 12x  3x
Algebra 1 – Unit 7 – Factor x2 + bx + c
Questions 22 – 30: Factor the polynomial.
22. x2 + 8x + 7
23.
z2 + 7z + 12
25. s2 + 11s + 30
26.
h2 + 11h + 18
27.
y2 + 13y + 40
28. x2 – 9x + 20
29.
d2 – 5d + 6
30.
j2 – 13j + 42
33.
n2 – 9n + 18 = 0
36.
x 2  17x  72
x9
Questions 31 – 33: Solve the equation.
31. m2 + 3m + 2 = 0
32.
x2 + 11x + 28 = 0
Questions 34 – 36: Perform the operation.
34.
x 2  10x  24
x 6
35.
x
2

 7x  6   x  1
Algebra 1 – Unit 7 – Factor ax2 + bx + c
Questions 37 – 45: Factor the polynomial.
37. 3h2 + 11h + 6
38.
6x2 – 5x + 1
39.
8m2 + 30m + 7
40. 18g2 – 15g – 12
41.
2y2 – 5y – 3
42.
4w2 – 4w – 3
43. 8g2 – 10g – 12
44.
10p2 + 19p – 15
45.
14d2 + 3d – 2
48.
6m2 + 23m = 4
Questions 46 – 48: Solve the equation.
46. 5x2 – 5x – 30 = 0
47.
2k2 – 5k – 18 = 0
Questions 49 – 51: Perform the operation.
49.
3x 2  2x  8
x4
50.
2x
2

 5x  3   x  1
51.
15x 2  x  2
3x  1
Algebra 1 – Unit 7 – Factor special patterns
Questions 52 – 57: Factor the polynomial.
52. m2 – 49
53.
x2 – 25
54.
d2 – 64
55. x2 – 4x + 4
56.
w2 – 14w + 49
57.
g2 + 6g + 9
Algebra 1 – Unit 7 – Mixed Review
Questions 58 – 66: Factor each polynomial.
58. 3x2 + 11x
59.
x2 + 9x + 20
60.
9z2 – 18z
61. 2x2 – 3x + 1
62.
r2 – 3r – 18
63.
x2 – 9
64. 3x2 – 13x + 4
65.
z2 + 22z + 121
66.
9x2 – 24x + 16
69.
2h2 – 13h – 45 = 0
72.
k 2  20k  100
k  10
Questions 67 – 69: Solve the equation.
67. m2 – 11m + 18 = 0
68.
x2 – 9x = 0
Questions 70 – 72: Perform the operation.
70.
h2  3h  18
h3
71.
 4x
2

 144   2x  12 