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Math 1: HW 6.1

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
2.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
3.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
4.
Factor by using GCF:
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
5.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
6.
Factor:
2n3+16n+12
a)
2n(n3+24n+6)
b)
2(n3+8n+6)
c)
2n(n3+8n+6)
d)
3(n3+8n+6)
7.

Factor 12x - 40 using the GCF

a)

2 (6x -20)

b)

4 (3x + 10)

c)

4 (3x - 10)

d)

2 (6x + 20)

8.

Factor -9x + 33 using the GCF

a)

3 (-3x + 11)

b)

-9 (x + 4)

c)

-3 (3x + 11)

d)

9 ( -x + 4)

9.
Factor
18a
2b4c + 24ab3c2
a)
6ab3c(3ab + 4c)
b)
3abc(6ab3 + 8b2c)
c)
6abc(3ab3 + 4c)
d)
6ab3c(3b + 4c)
10.
Factor
5ab2c11 + 2bc5
a)
bc5(5ab2c6 + 2b)
b)
bc5(5abc6 + 2)
c)
b2c5(5bc6 + 2)
d)
c4(5a2b2c7 + 2bc)
11.
Factor
-10xy9z + 8y3z5
a)
2y4z(-20xy6 + 4z4)
b)
2y3z(-5xy6 +4z4)
c)
2y3z(-5xy6z + 4z5)
d)
2y3z(-5xy6z + 8z4)
12.
Factor
49m3q2 - 35mq2 - 42m3q4p2
a)
7mq2(7m2q - 5 - 6m2p2q2)
b)
7mq2(7m3q - 5mq - 6m2p2q3)
c)
7mq2(7m2 - 5 - 6m2p2q2)
d)
7mq2(7mq - 5 - 6m2pq2)
13.
Factor
8p3q4 - 3pq3m2 + 6p3q2
a)
pq2(8p2q3 - 3m2q2 + 6p2q)
b)
pq(32p2q2 - 3m2q + 6p2)
c)
4q2(8p2q2 - 3m2q + 6p2)
d)
pq2(8p2q2 - 3m2q + 6p2)
14.
The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina.  Based on the line of best fit for the data, which price might you expect for the model sedan if it were 54 months old?
a)
$10,450
b)
$14,545
c)
$16,537
d)
$18,600
15.
The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven.  A van that is driven 107 miles costs $97.15.  A van that is driven 127 miles costs $106.15.  What is the flat rental fee?
a)
$19.00
b)
$20.00
c)
$45.00
d)
$49.00