Multi-Step
Multi-Variables
Absolute Value
Literal Equations
Word Problems
100

Solve: C - 5 = -8


C = -3

100

5m - 3m + 4 = 10

m = 3

100

|3m - 12| - 7

Evaluate for m=3

-4

100

5m=n       Solve for m

m = n/5

100

Kira is a contestant on the kids' game show, Spend or Switch! When she makes it up on stage, host Guy Granger takes out a stack of one hundred-dollar bills. He divides the bills evenly among all 8 contestants on stage. Each contestant receives 3 one hundred-dollar bills. How many bills did the host hand out in all?


b/8=3

b = 24 bills

200

x -(-3) = 5

x = 2

200

-2x + 4 = 3x - 6 

x = 2

200

|x+3| = 4 

Hint: Two Solutions

x = 1 or x = -7

200

3g - 3mn = 6      Solve for g

g = (6 + 3mn)/3  

g = 2 + mn

200

Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. How many bags did they fill up to start with?

b - 6 = 5

b = 11 bags

300

3m + 4 = 16

m = 4

300

3(x - 4) = 4(2x + 2) 

x = -4

300

-7|x-8|+30 Evaluate for x=3

-5

300

4(3g + 5s) = 20      Solve for s

s = (20 - 12g)/20

s = (5 - 3g)/5

s = 1 - 3/5g

300

On the last day of her summer tennis camp, Stacy helps her instructor sort through a basket of tennis balls to throw out the old ones. Stacy ends up throwing away 13 of the balls. She returns the remaining 42 balls to the basket. How many tennis balls did she check in all?




t - 13 = 42

t = 55 Tennis Balls

400

-3/4x - 6 = 6

x = -16


400

4m + 5 = 4m - 4

m = No solution

400

|x - 6|= 7

x = 13 or x = -1

400

P=2ℓ  + 2w   Solve for width or w

(P - 2ℓ)/2=w

P/2 - ℓ=w

400

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week. How long is each practice in the afternoon?

4(3 + a) = 20 

a = 2 hours

500

-3(-2x - 4) = 18

x = 1

500

-1/2(c - 4) = -1/2c + 2 

c = All solutions

500

|4m + 4| = 20

m = 4 or m = -6 

500

4q - 5n = 10n      Solve for n

4q/15 = n

500

Blue Tide Surf Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, surf board wax sold for $5 less than full price. Miguel purchases 3 containers of wax and paid a total of $60. What was the original price of the one wax container?



3(w-5)=60

w = $25