Properties
Vocabulary
Distributive Property
Simplifying Expressions
Combining Like Terms
100

Which property does the expression represent?

c + 2 + 0 = c + 2

Identity Property of Zero

100

What are the terms in the following algebraic expression?

3x + 4y + 9

3x, 4y, 9


100

Use the Distributive Property to simplify the following expression:

2(x + 4)

8x + 8

100

Simplify the expression:

6(2x)

18x

100

Simplify the expression:

w + w + 5w

7w

200

Which property does the expression represent?

3(x+4) = 3x+12

Distributive Property

200

What are the coefficient(s) in the following algebraic expression?

3x + 4y + 9

3 and 4

200

Use the Distributive Property to simplify the following expression: 

3(y - 8)

3y - 24

200

Simplify the expression:

5(2x) + 12

10x + 12

200

Simplify the expression:

3x + 5x + 2

8x + 2

300

Which property does the expression represent?

(4 + 5) + 3 = 4 + (5 + 3)

Associative Property of Addition

300

What is the constant(s) in the following algebraic expression?

3x + 4y + 9

9

300

Use the Distributive Property to simplify the following expression: 

2(3x + 12)

6x + 36

300

Simplify the expression:

3(a + b) + 2b

3a + 5b

300

Simplify the expression:

2g + 8g - 5g

5g

400

Which property does the expression represent?

x * 0 = 0

Zero Property of Multiplication

400

What are the terms in the following algebraic expression?

x + 5y + 14

x, 5y, 14

400

Use the Distributive Property to simplify the following expression: 

4(2x + 4 + 3x)

20x + 16

400

Simplify the expression:

8 + 3(6 - 6x)

26 - 18x

400

Simplify the expression:

n + 3(n - 1)

4n - 3

500

Which property does the expression represent?

3 * (y * 7) = 3 * (7 * y)

Commutative Property of Multiplication

500

What are the coefficient(s) in the following algebraic expression?

x + 5y + 14

1 and 5

500

Use the Distributive Property to simplify the following expression: 

5(5x + 3 + x - 2)

30x +5

500

Simplify the expression:

6m + 7(7m + 9)

55m + 63

500

Simplify the expression:

4x + 9(3x - y)

31x - 9y