Just the Basics
Multi-Step Equations
Compound Inequalities
Potpourri
Absolute Value Equations & Inequalities
100

c/14 = -3

What is c = -42?

100

2n + 7 = -42 - 5n

What is n = -7?

100

These are the values of v:

-5 ≤ v + 5 ≤ 5

What is

-10 ≤ v ≤ 0

?

100

These are the four categories that each class competes in for intramurals.

What are volleyball, hallway, mural, and video?


100

These are the values of y:

|y+2|=8

What is

y=6 or y=-10?

200

These are the two number categories that

-2/3

 falls into.

What are rational and real?

200

3c + 7 = -2(9 - 4c)

What is c = 5?

200

These are the values of a:

7 + 2a > 9 or -4a > 8

What is

a >1 or a <-2

?

200

Suppose you are selling t-shirts to raise money for your softball team. It costs you $24 total for all of the materials to make the shirts, and you charge $8 per shirt. This is how many shirts you would have to sell in order to make a profit of $200.

What is 28 shirts?

200

These are the values of j:

|j| - 2 ≥ 6

What is

j ≥ 8

 or

j ≤ -8

?

300

-67 = -8n + 5

What is n = 9?

300

This is the value of x.

What is 15?

300

These are the values of x:

7 > 5 - x > 6

What is

-2 < x < -1

?

300

At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. This is how many books you bought in addition to the tote bag.

What is 4 books?

300

These are the values of x:

|2x-6|/2=3

What is 

x=6 or x=0?

400

Graph 

-1 ≥ x > -4

What is 


400

This is the following equation, solved for x:

y=mx+b

What is 

x=(y-b)/m?

400

These are the values of x:

3 ≥ (3x)/2 + 6 ≥ -3

What is

-6 ≤ x ≤ -2

?

400

You need to design and print brochures for a school project. If the company you're printing from charges $50 for brochure set-up and a $1.50 price per brochure, this is how much it would cost in total to print 30 brochures.

What is $95?

400

These are the possible values of d:

-4|7 + d| < -44

What is

d > 4

 or

d < -18

?

500

This is the inequality that describes the statement: The difference of 3 and a number is at least 7, inclusive.

What is 

3-x>=7

500

1/2(6x+4)=5(2x-8)

What is 

x=6?

500

A box of cereal must weigh more than 629.4 g and less than 630.6 g to pass inspection. The box in which the cereal is packaged weighs 5.5 g. This inequality represents the possible weights for the cereal.

What is

623.9<x<625.1

?

500

Student Council wants to make and sell bracelets to raise money for breast cancer research. It costs $25 total to buy all of the materials to make the bracelets, and they charge $1 per bracelet. This is how many bracelets they need to sell in order to turn a profit of $325.

What is 350 bracelets?

500

These are the values of x:

-1/2|6x - 3| ≤ -3/2

What is

x ≥ 1

 or

x ≤ 0

?