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Integrated Math II Unit 5 Review

Total questions: 23

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
Classify:
2n³
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
2.

Find the sum.

(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

a)

2x2 + 3x +1

b)

-2x2 - 11x -4

c)

2x2+ 5x -7

d)

-2x2 + 11x -4

3.

Add or Subtract to Simplify:

( -2x3 + 4x2+ x + 1/4x) - (x2+ 6x + 1/4x)

a)

-2x3 + 3x2 - 5x

b)

-2x3 + 4x2 + 2x

c)

7x2 + 3x + 1/2

d)

-2x3 + 3x2 + 2x + 1/2

4.

What is the greatest common factor of 7y5, 28y3 , and 49y2?

a)
7y
b)
21y2
c)
196y2
d)
7y2
5.
a)

36r3 +24r2

b)

-36r3 - 24r2

c)

36r2 + 24r

d)

-36r3 - 4r2

6.

Factor using G.C.F. 2x4y - 10x2

a)

2x2(x2y - 5)

b)

2x(x3y - 5x)

c)

2(x4y - 5x2)

d)

x2(2x2y - 5)

7.

Simplify by multiplying the binomials:

(x + 5)(x - 4)

a)

x2 + 9x + 20

b)

x2 + 9x - 20

c)

x2 + 1x - 20

d)

x2 - 1x - 20

8.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
9.

(x + 5)2

a)

x2 + 25

b)

x2 + 10x + 25

c)

x2 + 10 x + 10

d)

x2 + 10

10.

Find the product:

(3x + 4)2

a)

6x2 + 24x + 16

b)

9x2 +24x + 16

c)

6x2 + 16x + 6

d)

9x2 + 6x + 8

11.

 Multiply:
(2r + 7)(2r − 7) 

a)

4r 2 − 49 

b)

4r 2 + 14

c)

2r 2 − 7r + 49 

d)

4r2 + 49

12.

Which expression shows the

factors of: x+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

13.

The area of a rectangle painting is (x+ 9x - 36) square units.

Which of the following could be the dimensions of the painting?

a)

(x + 12)units

by (x - 3) units.

b)

(x + 9) units

by (x - 4)units

c)

(x - 12) units

by (x + 3) units

d)

(x - 9)units

by (x - 4)units

14.
Factor
x+ 12x + 36
a)

(x + 6)2

b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)

(x - 6)2

15.

Fully Factor the Following

25x28125x^2-81  

a)

(5x-9)2

b)

(5x+9)(5x-9)

c)

25(x-9)2

d)

(9x+5)(9x-5)

16.

5n2+19n+125n^2+19n+12  

a)

(5n+3)(n+4)

b)

(n+4)(n+15)

c)

(3n+5)(n+19)

d)

(5n+4)(n+3)

17.

5x218x+95x^2-18x+9  

a)

(5x-3)(x-3)

b)

(5x-3)(n-15)

c)

(n+15)(n-6)

d)

(5x+3)(x+3)

18.

15n2+27n+6-15n^2+27n+6    

Factor Completely.

a)

(5n+1)(n-10)

b)

-3(5n+1)(n-2)

c)

3(n+1)(n-10)

d)

3(n+1)(n-6)

19.

Factor 9x2 - 49y2

a)

(3x + 7y2) (3x + 7y2)

b)

(3x + 7y) (3x - 7y)

c)

(3x - 7y2) (3x - 7y2)

d)

(3x2 - 7y2) (3x2 - 7y2)

20.

Factor x2 – 16.

a)

(x + 2) (x – 8)

b)

(x – 4) (x – 4)

c)

(x + 4) (x + 4)

d)

(x + 4) (x – 4)

21.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
22.

Factor by grouping.

20x3 - 25x2 + 4x - 5

a)

(5x2 - 5)(4x + 1)

b)

5(x2 - 1)(4x + 5)

c)

(5x2 + 1)(4x - 5)

d)

(5x2 + 1)(4x - 1)

23.

Which equation below does NOT represent a polynomial identity?

a)

(𝑥 + 𝑦)2= 𝑥2 + 𝑦2 + 2𝑥

b)

(𝑥 + 2)(𝑥 + 3)= 𝑥2+ 5𝑥 + 6

c)

(𝑥 + 3)(𝑥 + 4)=𝑥2+ 12𝑥 + 7

d)

(𝑥 − 𝑦)2 = 𝑥2 − 2𝑥𝑦 + 𝑦2