Grouping
Equations
Word Problems
FOIL
Random
100

Group the following (do not solve for x):

3x + 5 + x + 8

4x + 13

100

3x + 4 = 16

x = 4

100

Sarah bought 3 identical notebooks. She paid a total of 15 dollars. How much did each notebook cost?

The notebooks each cost $5

100

Get rid of the brackets (do not solve)

3(x + 4) 

3x + 12

100

What contributes to a carbon footprint?

Answers can vary, but may include: pollution, emissions, or anything that involves burning fossil fuels
200

Group the following (do not solve for x):

x - 5 + 8 - 4x

-3x + 3

200

4x + 2 = 3 + 7

x = 2

200

A number is multiplied by 3 and 8 is added to it. If the new number is 23. What is the original number?


The original number is 5

200

Get rid of the brackets (do not solve):

5(x - 3 + 8)

5x - 15 + 40

200

Name all 7 continents

Africa, Antarctica, Asia, Australia, Europe, North America, and South America

300

Group the following (do not solve for x):

x + 6 - 2x + 9 - 3 + 4x

3x + 12

300

3x + 5 = 8 + 2x 

x = 3

300

Three consecutive odd numbers add up to 45. What are the numbers?

The numbers are 13, 15, and 17

300

Simplify (do not solve)

x(3x + 5 - 4)

3x2 + x

300

How many hearts does an octopus have?

3 hearts

400

Group the following (do not solve for x):

3(2x) + (-5) - (-x) + (3)(4)

7x + 7

400

3x + (-2x) + 5 + 3x + 7 = 24


x = 3

400

A rectangle is 5cm longer than it is wide. The perimeter of the rectangle is 86cm. How long is the rectangle?

The width of the rectangle is 19, and the length is 24.

400

Simplify:

-3(x - 8) + 4 (2x - 8)

-3x + 24 + 8x - 32

= 5x - 8

400

What is one of the reasons the American Revolution started?

The Intolerable Acts

Boston Port Act, the Massachusetts Government Act, the Administration of Justice Act, the Quartering Act, and The Quebec Act

500

Group the following (do not solve for x):

3(2x - 4) + 3y + 2(5x + 8) - y

16x + 2y - 28
500

-(3x + 4) + x(3 + 5) = -3x

x = 1/2

500

Find two numbers whose sum is ninety-nine and whose difference is seventy-three.

The numbers are 13 and 86

500

Solve the following:

-3(x + 8) + 2(9 - x) = 4

x = -2

500

What are 5 reasons why Stargirl is not accepted at her school

Answers may vary