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Unit 2 test review

Total questions: 20

Worksheet time: 54mins

Name
Class
Date
1.
(3p - 10q) - (p - 8q) =
a)
4p - 18q
b)
2p - 18q
c)
2p + 2q
d)
2p - 2q
2.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
3.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
4.
Simplify: (x - 5) (x - 3)
a)
x2 + 8x + 15
b)
x2 - 2x - 15
c)
x2 - 8x + 15
d)
x2 - 2x + 15
5.
Expand: (x + 2)2
a)
x2 + 4
b)
x+ 2x + 2
c)
x2 + 4x + 2
d)
x2 + 4x + 4
6.
Expand: (2x - 3)2
a)
2x2 - 12x - 9
b)
4x2 - 9
c)
4x+ 9
d)
4x- 12x + 9
7.
Simplify: (x + 1) (x- 2x + 1)
a)
x- x-x + 1
b)
x- 2x + 2
c)
x+ x+ x + 1
d)
x- 3x- 3x + 1
8.

Simplify.

a)

2n + 2

b)

4n + 2

c)

2n + 4

d)

4n + 4

9.

Use long division algorithm.

a)

7x - 2

b)

7x + 2

c)

2x - 7

d)

2x + 7

10.

(x-4)(x+4) = x2 + 8

a)

True

b)

False; x2 + 8x + 16

c)

False; x2 + 16

d)

False; x2 - 16

11.

2x3 - 5x2 + 3x + 7 ÷ x - 2

a)

2x3 - x2 + x + 9

b)

2x2 - x + 1

c)

2x2 - x + 1 + 9/(x - 2)

d)

2x2 - 9x - 15 - 23/(x - 2)

12.

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 - 12/(x + 3)

b)

2x² - 2x + 6 - 23/(x + 3)

c)

2x² - 2x + 8 - 20/(x + 3)

d)

2x² - 4x + 1

13.
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
14.
p(x) = 3x + 4
q(x) = 2x2
Find p(q(x))
a)
10x2
b)
18x2 + 4
c)
6x2 + 4
15.
a)
6
b)
8
c)
15
d)
None of the Above
16.

Find the Leading Coefficient in

(x3+4x) + (3x3+5x2+11x+3)

a)

1

b)

3x

c)

4x3

d)

4

17.

Find the Degree in

4x2+5x+3x4-10

a)

2

b)

5

c)

4

d)

1

18.

Find the Degree in

(x2-3)3

a)

2

b)

6

c)

3

d)

9

19.

Find the coefficient of x2 in the expansion of (1 + 4x)9

a)

576

b)

36

c)

144

d)

1344

20.

Select the correct expansion of

(1 + 4x)3

a)

1 + 12x + 12x2 + 4x3

b)

1 + 12x + 48x2 + 64x3

c)

1 + 3x + 3x2 + x3

d)

1 + 4x + 16x2 + 64x3