Math 7 - Chapter 7 Review

Add/Subtract

100

x + 3 > 10

x > 7

200

6 + h < -9

h < -15

300

0.4 + y < -9.6

y < -10

400

x - 2.3 > -8.5

x > -6.2

500

4 < x - 15.5

x > 19.5

Multiply/Divide

100

8x > 40

x > 5

200

d/2 > 7

d > 14

300

12x > -36

x > -3

400

-6 > x/7

x < -42

500

2 < 0.25x

x > 8

Two-Step

100

2x + 2 > 4

x > 1

200

-2x + 6 > 12

x < -3

300

-5x - 12 < 8

x > -4

400

4.7x - 3.25 < 10.85

x < 3

500

-3/4x - 1/2 > 3/8

x > - 7/6 or -1 1/6

Write Inequalities

100

Dom has invited 12 friends to his birthday party. How much can he spend per person on party favors if his budget is no more than $75? 

Don't solve, but what would the inequality look like?

12x <or= 75

200

Dylan can spend at most $18 to ride go-karts and play games at the state fair. Suppose the go-karts cost $5.50. What would the inequality look like to solve this problem?

5.5 + x <or= 18

300

Lucy earns $15 per hour working at the zoo. Write an inequality to determine the number of hours Lucy must work in a week to earn at least $225.

15x <or= 225

400

In bowling league, Stu has 34 strikes. He averages 2 strikes per game. He needs more than 61 strikes to beat the league record. What would the inequality be to solve this problem?

34 + 2x > 61

500

Douglas bought a $20 game card at a game center. The go-karts cost $3.50 each time you race. He wants to have at least $7.75 left on his card to play arcade games. What would the inequality look like to solve this problem?

20 - 3.50x <or= 7.75

Extra Stuff

100

Which inequality symbol  represents "is no less than"?

>or=

200

With a solution of x>4, is the circle open or closed, and what direction should the arrow point?

open, pointing to the right

300

Caleb owns two types of dogs. The difference in height of his Yorkshire Terrier and his Great Dane is at least 25 inches. Caleb's Yorkshire Terrier has a height of      6 1/4 inches. Define a variable that could be used to write an inequality for this problem.

h represents the height of the Great Dane

400

Caleb owns two types of dogs. The difference in height of his Yorkshire Terrier and his Great Dane is at least 25 inches. Caleb's Yorkshire Terrier has a height of      6 1/4 inches. Write an inequality to solve this problem.

h - 6 1/4 >or= 25

500

Caleb owns two types of dogs. The difference in height of his Yorkshire Terrier and his Great Dane is at least 25 inches. Caleb's Yorkshire Terrier has a height of      6 1/4 inches. Interpret the solution of this problem.

the height of the Great Dane is at least 31 1/4 inches.