Algebraic Expressions and Properties

Assorted

100

Identify the terms, coefficients, and the constant

7h + 3

Terms: 7h, 3

Coefficient: 7

Constant: 3

200

Identify the terms, coefficients, and constant.

g + 12 + 9g

Terms: g, 12, 9g

Coefficients: 1 and 9

Constant: 12

300

3 1/4 - 2 3/5 

13/20

400

(3g^5)/(6g^2

1/2 g^3

500

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

b - a

12 - 3 = 9

Combining Like Terms

100

4x + 7y - 9x

-5x + 7y

200

y² + 3y³ + 2y² - 5y³

-2y³ + 3y²

or 

3y² - 2y³

300

x(x -3) - 5(x - 3)

x² -8x + 15

400

4(f - 5) - (7 - f)

5f - 27

500

-(g - 4) - (6 - g) + 3(g - 3)

3g - 11

Properties of Addition and Mult.

100

Simplify the expression

6 + (5 + x)

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

11 + x

200

Simplify the expression. Explain each step.

6(2 * b)

Associative prop. of mult.

(6 * 2) * b

12 * b

300

Complete the statement using the specified property.

Commutative Property of Addition

17 + x =

17 + x = x + 17

400

Complete the statement using the specified property.

Addition Property of Zero (Identity)

2 + c + 0 =

2 + c + 0 = 2 + c

500

Complete the statement using the specified property.

Multiplication Property of One (Identity)

1 * w * 16 =

1 * w * 16 = w * 16

The Distributive Property

100

-(2y-2)

-2y + 4

200

Factor

16x^3 + 28x^2 + 4x)

4x(x^2 + 7x + 1)

300

Use the Distributive Property to simplify the expression. 

6(s - 9)

6s - 54

400

Use the Distributive Property to simplify the expression.

9(2n + 1)

18n + 9

500

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

6(x + 4) + 1

6x + 24 + 1

6x + 25

Identify the Property

100

5 + 8 = 8 + 5

Commutative Property of Addition

200

8 + 0 = 8

Addition Property of Zero (Identity)

300

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

Associative Property of Multiplication

400

4 * 8 = 8 * 4

Commutative Property of Multiplication

500

4 * 1 = 4

Multiplication Property of One (Identity)