Combing Like Term
Linear Equations
Literal equations
Inequalities in one variable
Real World
100

Combine like terms

6(5x - 6) - 6(2x + 1)

18x-42

100

Linear Equations: 3z - 15 = 3 (Find z)

z=6

100

Solve for h: 

A = (1/3)bh


h = 3A / b




100

Solve for x:
1/3x + 8 > 5 

x > -9

100

A company charges $300 for a one-time set-up fee and $28 per item. Write an expression for the total cost of x items.


28x + 300




200

Combine like terms: 3-2x+6x

3+4x

200

Solve: 

5(t+4)=15

t = -1

200

Solve for a:

g = b - ca


a=(g - b)/ -c




200

Solve for x:
3x + 7 < 16

x < 3

200

Jamie sells x adult tickets at $7.25 each and 15 student tickets at $5.00 each. Write an equation (y=) for the total money collected.




y = 7.25x + 75




300

Combining Like Term: 3x + 14x + 2 = 121

x=7

300

Solve: 

-2(4- x) = 6(x +4) + 4x 

 x= -4

300

The formula for the surface area of a cone is S = πr² + πrL. Solve for L




L = (S – πr²) / πr




300

Solve for x:
2/5 (2x - 1) > 10

x > 13

300

Mia has $3.10 in dimes and quarters. She has three more dimes than quarters. Which equation can be used to find the number of quarters x?




0.25x + 0.10(x + 3) = 3.10




400

Combining Like Term: 4x -2x + 8 +3x -1

5x+7

400

Solve: 

(5x-2)/4 = (2x + 2)/2

x=6

400

Solve for f: 

A = (1/2)(w + f)h




f = (2A / h) – w




400

Solve for x:
-3 < 2x + 5

x > -4

400

A book store has decided to sell Jason's Graphic Novel. The novel will sell for $15.50 a copy. If it costs Jason $300 to make 24 copies of his novels, how much money will he make if he is able to sell 20 copies of his novels?




$10 




500

Combining Like Term: 7q + 5r -4 + 3s -3q +5r -3

4q+10r+3s-7

500

Solve: 

2(x + 5) -7 = 3 (x - 2)

x= 9

500

Solve for x:

5(ax + 4) – 4ax = 40 + 4a




x = (20 + 4a) / a




500

Solve for x: 

2/3x-6 ≤ -2

x ≤ 6 


500

Billy is remodeling his house and is currently working on painting the exterior of his house. Billy knows that the surface area of the exterior of his house is 1,300 square feet. Billy already has 2 gallons of paint. If one gallon of paint will cover 400 square feet, how many more gallons will Billy need to buy to finish painting his house? 




2 gallons