Expressions and Properties - 7th Grade

Properties 1

100

The property shown here: 3 + z = z + 3

Commutative Property of Addition

200

The property shown here: 

(2*5)*c = 2*(5*c)

Associative Property of Multplication

300

The property shown here: 

8*1=8

Multiplicative Identity Property

400

The property shown here: 

x+0=x

Additive Identity Property

500

The property shown here: 

7*(2*y) = 7*(y*2)

Commutative Property of Multiplication

Properties 2

100

The property show here:

-4+4=0

Additive Inverse Property

200

The property show here:

xtimes0=0

Multiplicative Property of Zero

300

The property show here:

8/9times9/8=1

Multiplicative Inverse Property

400

The property show here:

5(2x+8)=10x+40

Distributive Property

500

The property show here:

2+3+(8+9)=3+(2+8)+9

Associative Property of Addition

Order of Operations

100

Evaluate:

18div3-7+2times5

9

200

Evaluate:

6+4(7-2)-3^2

17

300

Evaluate:

12+(7-5)^3times6+1

61

400

Evaluate: 

[6(11+1-4)]/(8times2)

3

500

Evaluate:

(12^2-2^3)/(8+[(2+2)-3]^2div3+7)

4

Distributive Property: Equivalent Expressions

100

11(3-m)

33-11m

200

4(5a + 7)

20a+ 28

300

28(w + m)

28w + 28m

400

3(9k-2)

27k - 6

500

6(9m-5)

54m-30

Combining Like Terms

100

Simplify.

3x+9y-6y+4x

What is 

7x+3y

200

Simplify:

8a+3b+5-2a+8b

What is 

6a+11b+5

300

Simplify:

12w+8x+10-10w-3

What is 

2w+8x+7

400

Simplify:

2a+9b+15+3-6b+4b

What is 

2a+7b+18

500

Simplify:

2x+3y+4z+8-2x+8y-z-5

What is 

11y+3z+3

Simplify Expressions

100

Simplify.

4(2x+8)+12

8x+44

200

Simplify.

5(3y-9)+2y

17y-45

300

Simplify.

2(4w+5)+2w-8

10w+2

400

Simplify.

2(4x+8)+5(3x-4)

23x-4

500

Simplify.

4(3w-9)+4(w-8)

16w-68

Factor

100

Factor the expression.

45y+18

9(5y+2)

200

Factor the expression.

28x+14

7(4x+2)

300

Factor the expression.

80w-24

8(10w-3)

400

Factor the expression.

120x-48

24(5x-2)

500

Factor the expression.

45x+9y-18

9(5x+y-2)