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Worksheets

Simplifying Expressions

Total questions: 15

Worksheet time: 49mins

Name
Class
Date
1.
Which answer choice contains ALL like terms?
a)
-4x, 2x, 3x
b)
-4x, 2, 3y
c)
4x2, 2x
d)
14, 4x
2.

In the expression below, the 3 is known as the _____________

3y

a)

coefficient

b)

variable

c)

constant term

3.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
4.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
5.

Simplify: 7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

6.
-8(3 + 4w)
a)
-5 + -4w
b)
-24 - 4w
c)
-24 + -32w
d)
-11 + -12w
7.

-9(-3 + 5v)

a)

-7 + 49v

b)

27 - 45v

c)

8 - 80v

d)

3 - 80v

8.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
9.

- r - 10r

a)

11r

b)

-11r

c)

9r

d)

-11

10.

- x2 + 7x - 10 + 4x2 - 6x + 8

a)

4x2+13x+18

b)

3x2 - x+2

c)

3x2 + x - 2

d)

6x2 - 2x - 2

11.

Simplify: 12b + 4b2 - 10b

a)

4b2 + 2b

b)

4b2 + 22b

c)

6b2

d)

Can't be simplified

12.

Rewrite the expression by combining like terms.

4x2 – 2x2 + 2y + 6y2 – y + x2

a)

3x2 + 3xy + 6y

b)

6y2 + 2xy + 2x

c)

7x2 + 35x

d)

3x2 + 6y2 + y

13.

9x4x27x3+8x2+9x33x9x-4x^2-7x^3+8x^2+9x^3-3x  

a)

12x512x^5  

b)

12x216x3+6x12x^2-16x^3+6x  

c)

2x3+4x2+6x2x^3+4x^2+6x  

14.
Add the following polynomials: 
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4  + 2x2 + 14x
b)
16x4  + x2 + 14x
c)
11x4  + x2 + 14x
d)
11x4  + 2x2 + 10x
15.

Subtract the following polynomials:

(3x² - 3x + 2) - (x² -2x + 1)

a)

2x² + x + 1

b)

2x² - 5x + 3

c)

2x² - x + 1

d)

4x² - 5x + 3