The Flip
Graphing
Solving
Error Analysis
Word Problems
100

When do you flip the inequality sign?

When you multiply or divide by a negative number on both sides of the inequality.
100

What type of inequality symbol is graphed with an open circle?

< or >

100

Solve. 

-x -4x> -10

x<2

100

Kailyn says 4 is a solution to x > 4. Why is she wrong?

The inequality symbol is greater than, so it does not include the 4.

100

Which inequality symbol means AT MOST?


<=

200

Solve.

-2x<=18


x>=-9

200

Write the inequality represented on the graph.

x<=1

200

Solve.  

6x+ 2 + 6x < 14

x<1

200

David says -8 is the solution to x. Is he right? If not, what is the correct answer?

x+5>=-2

No, the correct answer should be:

x>=-7

200

Write the sentence as an inequality.

Three is less than a number x plus 5.

3<x+5

or 

x+5>3

300

Solve.

-3x- 35 < -5

x >-10

300

Which graph shows the solution to the inequality: -3x - 5 < -2

Choice A

300

Solve.

-6(6x-7)<=-138

x>=5

300

Identify the mistake, then tell the correct answer.

-2 + 2 = 0, not -2

Answer should be x>0.

300

You have $12 to buy five goldfish for your new fish tank. Write and solve an inequality that represents the prices you can pay per fish.  

x>=$2.40

400

Solve.

-2(x + 5) > 4x + 14

x<-4

400

Solve & graph. 

-6(4y-2)>=-102

400

Solve.

6-4(6x+7)>=122

x<=-6

400

Identify the mistake, then say the correct answer.

They added 7x on the left, instead of combining like terms:  2x - 7x is -5x.

The answer should be:  x > -9

400

Saveon wanted to start his own painting business. He bought a ladder and some supplies for $180. He plans to charge $10 per hour painting. How many hours will Saveon have to work if he is to make at least a profit of $750?

x>=57

500

Solve.

-3/4x-1/8<=-1/4

x>=1/6

500

Graph the solution to:  

b/4-12> -11

500

Solve.

-5n+6>=-7(5n-6)-6

n>=1

500

State the error, then tell the correct answer.

-6 and -6 equal -12, not 0

The answer should be:  

x<=6

500

Ryan had $25 to spend at the fair.  If the admission to the fair is $4 and the rides cost $1.50 each, write an inequality to represent this situation.  Then, state what the greatest number of rides are that he can go on?

1.50x + 4 <=25

x<=14