Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Solving one and / or two Step Equations

100

x + 3 = 7

x = 4

200

-x - 4 = 9

x = -13

300

2x + 3 = 9

x = 3

400

-8 = -3 + 5x

x = -1

500

-8 + x/2 = -35

x = -54

Equation Grab Bag

100

8x - 4 = 5x + 14

6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Random

100

If 3x - 4 = 27 what is 3x?

31

200

Two kayaking companies offer kayak tours. 

Company A charges $30 to rent the kayak and $4 for each hour spent on the water.

Company B charges $25 to rent the kayak and $5 for each hour spent on the water.

How many hours would you have to be on the water so that the price at both companies is the same?

5 hours

300

The equation 𝑃 = 6.31𝐻 + 41.5 can be used to predict the points earned P, by a student on an organic chemistry final, based on the number of hours H, that he or she studies.  To earn 95 points on the final, how many hours does the model suggest someone should study?

8.77

400

True or False

3x + 6 = 8x - 4

and 

5x = 10 

True

500

I'm thinking of a number. When I multiply the number by 4 and then subtract 20, I get -12. What is my number.

x = 2