Algebra 1
Name: _________________________________
Unit 6: Practice Quiz 1
Date: _________________ Period: _________
“PRACTICE” QUIZ 1… Factoring using GCF, Grouping, and Solving Quadratics
Part 1: Factor each polynomial using the GCF. Write “Prime” if an expression cannot be factored.
___________________ 1)
12 x  18
___________________ 2)
3x 2  12
___________________ 3)
9  27a 2
___________________ 4)
16b  32c
___________________ 5)
7m7  63m4
___________________ 6)
___________________ 7)
85xyz  10wx
___________________ 8)
11a  3 p
___________________ 9)
21c8d 2  14d 2
___________________ 10)
4 g 3c3 f 3  44 g 2c 2 f 2
___________________ 11)
4 x 2  8x  24
___________________ 12)
25g 2  60 g  5
___________________ 13)
t 2  t 1
___________________ 14)
5m2n  20mn  12m
___________________ 15)
12 y 3  3 y 2  36 y
___________________ 16)
9d  6r  15
___________________ 17)
3x 2  9 xy  6 y 2
___________________ 18)
4 j3  4 j 2  4
xy 2  x 4 y 7
Part 2: Factor using the Grouping method. Write “Prime” if an expression cannot be factored.
___________________ 19)
4n3  8n2  5n  10
___________________ 20) 2w2 (5w  8)  3(5w  8)
___________________ 21)
5x 2 y  x 2  5 y  1
___________________ 22)
___________________ 23)
3( x  y)  z( y  x)
___________________ 24)
___________________ 25)
3a  ab  3c  bc
___________________ 26)
8k 3  20k 2  10k  25
y3  3 y 2  y  3
4 x3  6 x 2  6 x  9
Part 3: Solve the quadratic equation by factoring. No decimal answers.
___________________ 27)
(3 y  2)(1y  5)  0
___________________ 28)
w(w  16)  0
___________________ 29)
7d (d  4)  8(d  4)  0
___________________ 30) (6 f  7)(6 f  7)  0
___________________ 31)
1

 y  2  0
3

2
___________________ 32) ( x  1)( x  1)  0
Part 4: Short answer.
33)
Summarize what the concept of “factoring” represents.
Response:
34)
Explain how the “zero product property” works.
Response:
35)
How could you check an expression to make sure it has been factored correctly?
Response: