Expressions and Properties

Name the Property

100

3+(x+5)=x+(3+5)

Associative Property

200

5*8*2=2*5*8

Commutative Property

300

3(4+2x)=12+6x

Distributive Property

400

5(4*2)=4(5*2)

Associative Property

500

7+(4+w)=7+(w+4)

Commutative Property

Distribution

100

Distribute.

4(2+m)

8+4m

200

-3(5+2m)

-15+-6m or -15-6m

300

3(12m+3p)

36m+9p

400

-8(2r+5s)

-16r+-40s or -16r-40s

500

12(12w+3x+7y)

144w+36x+84y

Evaluate Expressions

100

Evaluate if x=3, y=2, and z=-1

3x+z

8

200

Evaluate if x=3, y=2, and z=-1

5y-3x

1

300

Evaluate if x=3, y=2, and z=-1

7z-4x+y

-17

400

Evaluate if x=3, y=2, and z=-1

xyz

-6

500

Evaluate if x=3, y=2, and z=-1

2xy-3z

15

Parts of Expressions

100

Identify the coefficients in the following expression:

3x+5-2y+8

3 and -2

200

Identify the constants in the following expression:

3x+5-2y+8

5 and 8

300

List all the terms in the following expression:

3x+5-2y+8

3x, 5, -2y, and 8

400

Identify the constants in the following expression:

5m+2-8r-15-n

2 and -15

500

Identify the coefficients in the following expression:

5m+2-8r-15-n

5, -8, and -1

Simplify Expressions

100

Simplify by combining like terms.

3x+5-4x+12

-x+17

200

Simplify by combining like terms.

-8w+5w+10-3w-2

-6w+8

300

Simplify by combining like terms.

3x+4y-8+x-10-4y

4x-18

400

Simplify by combining like terms.

12m+3n-12+m-5+2n-10m+9

3m+5n-8

500

Simplify by combining like terms.

-w+5z-4w+8-3z-4+5w-3z-4+z

0