Simplifying Expressions
Solving Equations
Multi-Step Equations
Inequalities
Word Problems
100

Simplify the following expressions: 

C + 6a - 12 - a - 3 + 4C

5C + 5a - 15

100

Solve for X:  

2X = 20

X = 10

100

Solve for U: 

2X + 10 - 5 = 25

X = 10

100

Solve the following inequality: 

9x – 7 ≤ 38

X ≤ 5

100

Mr.Degaldo goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Mr.Delgado pays for admission and the number of rounds he golfs is $26.25. Write and solve equation to determine the number of rounds, x, that Mr.Delgado golfs?

$6.25X + $7.50 = $26.25

X = 3

200

Simplify the following expression: 

-3(4X-2) - 2X

-14X + 6 

200

Solve for T: 

2T - 17 = 13

T = 15

200

Solve for P: 

4(P+3) - 2 = 6  

P = -1 

200

Solve the following inequality: 

-8x + 18 > -22

X < 5

200

Mr.Cruz orders pictures from a photographer. Each picture costs $7.50. A one time shipping fee of $3.25 is added to the cost of the order. The total cost of Todd’s order before tax is $85.75. How many pictures did Todd order?

11 pictures

300

Simplify the following expression: 

-1/3(6X + 15) - 3 

-2X - 8 

300

Solve for B: 

6.25b + 7.50 = 26.25

B = 3

300

Solve for Q: 

7(Q+4) + 9Q = 2 

Q = -1.625

300

Solve the following inequality: 

4.25X + 2.5 > 25


X > 5.29

300

Ms. Keane spent a total of $175.00 for 4 admission tickets and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of parking was $25.00 . Write an equation and solve to determine t, the cost, in dollars, of each admission ticket, including tax. 

4T + $25.00 = $175.00 

T = $37.50

400

Simplify the following expression: 

7a - 8 - 12a + 4 

-5a - 4

400

Solve for X: 

0.5X + 78.2 = 287

X = 417.6

400

Solve for Y: 

2/3( Y + 57 ) = 178

Y = 210

400

Mr. Gallo coach of the baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach’s order is less than $125. Write and solve an inequality to find out how many hats the coach can order.

9.95h + 5 < 125

h < 12

400

Mr. Colon buys eggs and potatoes at a store.

• He pays a total of $25.92.

• He pays $2.57 for the eggs.

• He buys 5 bags of potatoes that each cost the same amount. 

Write and solve the equation in order to find the amount that Mr. Colon spends on each bag of potatoes? 

5X + $2.57 = $25.92

X = $4.67

500

Simplify the following expression: 

2(x + 7) - 18X + 4/5

-16X + 74/5

500

Solve for X: 

1/3 (12X - 12) + 36 = 64

X = -8

500

Solve for X: 

2/5(3X+4) = 10 

X = -7

500

Mr. Olt goes bowling.

 • He has $25.00 to spend. 

• He spends $4.25 to rent shoes. 

• He spends $2.50 for each game he bowls. 

Write and solve an inequality that Manny can use to determine, the greatest number of games he can bowl?

2.50G + 4.25 < 25

G < 8

500

Mr.C needs to rent a car. A rental company charges $21.00 per day to rent a car and $0.10 for every mile driven. 

 • He will travel 250 miles 

• He has $115.00 to spend. 

Write an inequality that can be used to determine d, the maximum number of days that Mr.C can rent a car.

$21d + $25.00 < $115.00

d < 4