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Simplifying Algebraic Expressions by Combining Like Terms and Distributive Property

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Simplify the Expression: 3(x - y + 5)

a)

3x - 3y + 8

b)

3xy + 15

c)

3x + 3y + 8

d)

3x - 3y + 15

2.

Simplify the Expression: -1(2x + 3) - x

a)

-x + 3

b)

3x + 3

c)

4x + (-2)

d)

-3x - 3

3.

Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)

a)

11a3 - 4a2 - 14a - 7 

b)

5a3 - 4a2 - 14a - 7 

c)

5a3 - 4a2 - 20a - 7 

d)

5a3 - 9a2 - 20a - 7

4.

These have the the same variable and can, therefore, be combined...

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

5.

Which expression is equivalent to 3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

6.

Simplify:
11m - 8 - 12 + 10m

a)

m - 20

b)

m - 4

c)

21m - 4

d)

21m - 20

7.

The number in front of a variable telling the mathematician how much to multiply the variable by is called the...

a)

Term

b)

Constant

c)

Coefficient

d)

Expression

8.

Which expression is equivalent to:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

9.

Use the distributive property to simplify the expression.

2(7c - 8)

a)

14c - 16

b)

14c + 16

c)

7c - 16

d)

c - 16

10.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

11.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

12.

Simplify the expression.

5(3+5x-1)

a)

25x+10

b)

15+25x

c)

25x+15-1

d)

25x+2

13.

Simplify the expression

29x+8(4y-2x)

a)

13x+32y

b)

27x+12y

c)

31x+32y

d)

13x-32y

14.

A(n) __________________ consists of one or more numbers, variables, and operations. 

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

15.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant