Combining Like Terms
Factoring
Distributive Property
Evaluating with Substitution
Properties
100

Simplify: 

8x - 3y + 4x - 8y

-11y+12x

100

Factor: 

6x + 30

6(x + 5)

100

Distribute to simplify: 

5(2x + 7)

10x + 14

100

Evaluate:

xy + 3x   if x = -3 and y = -5

6

100

What property is represented below:

(1 + 8y) + 9m = 1 + (8y +9m)

Associative Property

200

Simplify the expression: 

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

what is 5

200

Factor: 

28x + 42 - 56y

14(2x + 3 - 4y)

200

Distribute to simplify: 

-6(3x - 9)

-18x + 54

200

Evaluate if y = -1.1

y(11 - y) 

-13.31

200

Rewrite the expression below using the commutative property: 

18x - 6 - 5p

-6 - 5p + 18x 

-5p - 6 + 18x

18x - 5x - 6


300
Simplify: 


(18x - 104) + (19m - 10x + 17)

19m + 8x - 87

300

−70m+105mn−35


35(−2m+3mn−1)

300

Use the Distributive Property to create an equivalent expression.

0.5(-x - 5y) + 3

-0.5x - 2.5y + 3

300

If x = 5 and y = -1/4

(7.2x)/(12y)

-12

300

Which of the expressions are equivalent: 

  • 3(x-2)

  • -6 + 3x
  • x + x + x + 2 - 8

  • 3x+2

All of them but 3x + 2

400

Simplify: 

(-20p + 10 - 11m) - (18m + 9p - 2)  

-29p-29m+12

400

Factor 

26xy + 39xm + 65xp

13x(2y + 3m + 5p)

400

Use the Distributive Property to create an equivalent expression.

7x(4y - 3z + 5)

28xy + 21xz + 35x

400

When a = -5 and b = 0.25

Evaluate

l  4.2a + 6b  l

19.5

400

how can you change this expression to an addition expression: 

-3 - 2 - 5 - 18

-3 + -2 + -5 + -18

500

Combine like terms 

4x2 - xy + 3x - (-x2) + 2y + 3xy - (-3x)

5x+ 2xy + 6x + 2y 

500

Factor

4/7m - 2/7m


2/7(2m - 1)

500

Simplify using Distributive Property

2x( 3p - 5y + m) + 3(p + xr)

6xp - 10xy + 2xm + 3p + 3xr

500

Evaluate if x = 4 

2x+ 3(x - 2) + x3

262

500

What is the Inverse Property? (both addition and multiplication)

for addition:  -x + x = 0

for multiplication: 6 (1/6) = 1

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