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Algebraic Expressions
Writing Expressions
Properties of Addition and Mult.
The Distributive Property
Identify the Property
100

Identify the terms, coefficients, and the constant

7h + 3

Terms: 7h, 3

Coefficient: 7

Constant: 3

100

Write the phrase as an expression.

The product of 3 and 12

3 * 12

100

Simplify the expression

6 + (5 + x)

Associative prop. of addition (6 + 5) + x

11 + x

100

Use the Distributive Property to find the product.

8 * 27

8 * 27 = 8 * (20 + 7)

= 160 + 56

= 216

100

5 + 8 = 8 + 5

Commutative Property of Addition

200

Identify the terms, coefficients, and constant.

g + 12 + 9g

Terms: g, 12, 9g

Coefficients: 1 and 9

Constant: 12

200

Write the phrase as an expression.

17 added to 15

17 + 15

200

Simplify the expression. Explain each step.

6(2 * b)

Associative prop. of mult.

(6 * 2) * b

12 * b

200

Use the Distributive Property to find the product.

8 * 63

8 * 63 = 8 * (60 + 3)

= 480 + 24

= 504

200

8 + 0 = 8

Addition Property of Zero (Identity)
300

Write and evaluate an expression for the problem.

Music lessons cost $20 per week. How much do 6 weeks of lessons cost?

$20 * 6 = $120

300

Write the phrase as an expression.

A number b squared

b2

300

Complete the statement using the specified property.

Commutative Property of Addition

17 + x =

17 + x = x + 17

300

Use the Distributive Property to simplify the expression. 

6(s - 9)


6s - 54

300

(7 * 4) * 2 = 7 * (4 * 2)

Associative Property of Multiplication
400

Write and evaluate an expression for the problem.

You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?

$20 - $12 = $8

400

Write the phrase as an expression.

Twice a number z

2z

400

Complete the statement using the specified property.

Addition Property of Zero (Identity)

2 + c + 0 =

2 + c + 0 = 2 + c

400

Use the Distributive Property to simplify the expression.

9(2n + 1)

18n + 9

400

4 * 8 = 8 * 4

Commutative Property of Multiplication

500

Evaluate the expression when a = 3 and b = 12.

b - a

12 - 3 = 9

500

Write the phrase as an expression.

3 fewer than 18

18 - 3

500

Complete the statement using the specified property.

Multiplication Property of One (Identity)

1 * w * 16 =

1 * w * 16 = w * 16

500

Use the Distributive Property to simplify the expression. (combine like terms)

6(x + 4) + 1

6x + 24 + 1

6x + 25

500

4 * 1 = 4

Multiplication Property of One (Identity)