Distributive Property
Two-Step Equations
Multi-Step Equations
Word Problems
Variables on Both Sides
100

3(4+5)

3 x 4 = 12

3 x 5 = 15

15+12 = 27

100

5x + 3 = 18

5x + 3 = 18

5x = 15

x=3


100

3e + e = 12 - 20

4e = -8

e = -2

100

At Gym A, there is a $12 sign up fee and after that it is $20 per class every month. At Gym B, there is a $4 sign up fee and after that it is $22 per class every month. What is an equation we could use to solve for when the two gyms would be the same cost?

A. 20 + 12m = 22 + 4m

B. 20m + 12 = 22m + 4

C. 4m + 12 = 20 + 22m

B.

100

2w - 14 = 4w - 28

2w = 4w - 14

-2w = -14

w = 7

200

(x + 2)5

5*x = 5x

5*2 = 10

Answer: 5x + 10

200

-v - 9 = 12

-v - 9 = 12

-v = 21

v = -21

200

3 (d - 9) = 63

3d - 27 = 63

3d = 90

d = 30

200

Red Bird Cruises charges $85 per day with a one time fee of $75. King Cruises charges $100 per day with a one time fee of $30. What is an equation we could use to solve for when the cruises would cost the same?

A. 10d = 70d

B. 75d + 85 = 30d + 100

C. 85d + 75 = 100d + 30

C.

200

-29 + 3r = 7r + 3

3r = 7r + 32

-4r = 32

r = -8

300

7(a-2) = 14

7*a = 7a

7*-2 = -14

7a - 14 = 14

7a = 28

a = 4

300

8b * 4 = 32

8b * 4 = 32

8b = 8

b = 1

300

4(m-15) = 2(2+10)

4m - 60 = 4 + 20

4m - 60 = 24

4m = 84

m = 21

300
A movie theater charges $6.25 per person per movie for admission. The theater also has a special promotion for an annual pass that costs $80 plus $1.25 per person per movie for admission. Write an equation to solve for how many movies does a person have to watch for the cost of both options be the same. 

1.25m + 80 = 6.25m

300

12k + 8 = 3k + 116

9k + 8 = 116

9k = 108

k = 12

400

4(f-3) = 20

4f-12=20

4f=32

f=8

400

(z - 6) / 5 = 7

z - 6 = 35

z = 41

400

2 (10-2x) = 4(2x+2)

20 - 4x = 8x + 8

20 = 12x + 8

12 = 12x

1 = x

400

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Write an equation to solve for how many pounds would a package have to weigh to cost the same at UPS and FedEx.

7 + 0.20p = 5 + 0.30p

400

15 + 6x = 45 + 8x

15 = 45 + 2x

-30 = 2x

-15 = x

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