Combine Like Terms
Distributive Property
Equivalent Expressions
Two-Step Equations
Word Problems
100
Combine like terms.


18p - 6 - 3p + 9


15p + 3

100

Simplify using the Distributive Property. Combine like terms if needed.

3.5(r - 6)

3.5r - 21

100

Simplify and create an equivalent expression.

5(3w - 6) - 3w


12w - 30

100

Solve for the variable.

-5x + 9 = -31

-5x + 9 = -31

-5x = -40

x = 8

100

A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write an equation to represent the cost for 1 square foot of flooring. How much does 1 square foot cost?

80 + 60x = 287

60x = 207

x = 3.45

200

Combine like terms.

5d - 7 - d + 5

4d - 2

200

Simplify using the Distributive Property. Combine like terms if needed.

-9(3x - 9)

-27x + 81

200

Simplify and create an equivalent expression.

8y - 0.5(6y - 20)

5y + 10

200

Solve for the variable.

3x + 12 = -48

3x + 12 = -48

3x = -60

x = -20

200

A mom bought her kids 3 cartons of milk for $2.25 each and 5 doughnuts. The total cost was $10. Write an equation to determine the cost of one doughnut. How much does 1 doughnut cost?

2.25(3) + 5x = 10

6.75 + 5x = 10

5x = 3.25

x = 0.65

300

Combine like terms.


7.6c + 6 - 3.4c - 10 

4.2c - 4

300

Simplify using the Distributive Property. Combine like terms if needed.

6 + 4.5(3x - 9)

6 + 13.5x - 40.5 

or

13.5x - 34.5

300

Write an expression to represent the perimeter of a rectangle with the following dimensions:

length: 2x - 3

width: x + 2

(2x - 3) + (2x - 3) + (x + 2) + (x + 2) 

or 

6x - 2

300

Solve for the variable.

-6x - 40 = 20

-6x - 40 = 20

-6x = 60

x = -10

300

Mr. Peters just purchased a total of 8 shrubs and trees for his yard. The total bill was $260. The shrubs were $25 each, and the trees cost $110 in total. Write an equation to determine the number of shrubs purchased.

25x + 110 = 260

25x = 150

x = 6 shrubs


400

Combine like terms.


-9y - 10 + 5y - 14y - 3

-18y - 13

400

Factor using the GCF.

15x - 25y

5(3x - 5y)

400

Simplify and create an equivalent expression.


9y - 3(5y - 4)

-6y + 12

400

Solve for the variable.

x/4 + 5 = 30

x/4 + 5 = 30

x/4 = 25

x = 25 times 4

x = 100

400

Mr. Peters just purchased a total of 8 shrubs and trees for his yard. The total bill was $260. The shrubs were $25 each, and the trees cost $110 in total. Write an equation to determine the number of shrubs purchased. Once you know how many shrubs there are, determine how many trees were purchased and for what price EACH?

25x + 110 = 260

25x = 150

x = 6 shrubs

2 trees were purchased for $55 each.

500

Combine like terms.


1/2s + 3/4s - 1/4s + 4

s + 4

500

Factor using the GCF.

-6b - 15

-3(2b + 5)

or

3(-2b - 5)

500

Simplify and create an equivalent expression.

-4(3 - 4y) - 7 

-19 + 16y 

or 

16y - 19

500

Solve for the variable.

45 = -9(-x + 6)

45 = -9(-x + 6)

45 = 9x - 54

99 = 9x

x = 11

500

Who is the best math teacher on the planet?????

Duh! Mrs. Syverson!