Algebraic Expressions

Properties of Operations

100

Which property of operation is illustrated below?

(5+7)+2=5+(7+2)

Associative Property

200

Which of the following is an example of the Associative Property of Multiplication?

A. 3+7=7+3

B. (5x4)x2=(4x5)x2

C. 3(2+6)= 6+18

D. (4x2)x7=4x(2x7)

D. (4x2)x7=4x(2x7)

300

Which expression is equivalent to 16x+32

A. 2(8x+16)

B. 3(4x+7)

C. 4(4x+6)

D. 6(3x+6)

A. 2(8x+16)

400

What property of operations is illustrated below:

15+0=15

Identity Property

500

Use properties of operations to complete the equivalent expressions.

4x-28

4(__-__)

4(x-7)

Parts of an Expression

100

How many terms are in this expression?

6n²+3m³-4t+9

4

200

What variable is used in this expression?

8x²+x+3x+7

x

300

What is the coefficient in the expression?

15x+23

15

400

What are the constants in this expression?

3x²+4+2x+12

4 and 12

500

What is a coefficient? Give an example.

A coefficient is a number that comes in front of a variable in an algebraic expression.

ex: 5m

Substitution

100

An expression is shown.

5a

What is the value of the expression when a=6?

30

200

What is the value of the expression below when b=8?

5b-4

36

300

What is the value of the expression below when x=5 and y=2

4x²-10y+3

83

400

Solve the following expression when d=3, f=2, and m=5

4d+3m-2+7f

39

500

Solve the following equation when c=4 and b=2

2b³+5c-5b

26

Combining Like Terms

100

Which of the following expressions is equivalent to the expression

a+a+a ?

A. 3+a

B. a³

C. a²+a

D. 3a

D. 3a

200

Combine the like terms to create an equivalent expression:

3n+4+7n+5

10n+9

or

9+10n

300

Simplify the expression:

5x+6y+7y+3

5x+13y+3

400

Combine like terms to find equivalent expression:

3x²+6x-x²+2

2x²+6x+2

500

Simplify the expression:

5x²+6y²+7y+3-5y

5x²+6y²+2y+3