Inequalities and Equations

Multi-Step Equations

100

11k + 9 = 42

k = 3

200

2 + 5t - 3 = 34

t = 7

300

17 - 5m = 50 + 6m

m = -3

400

2 - 5(h + 3) = -28

h = 3

500

8(4p + 1) = 32p + 8

DOUBLE JEOPARDY

All Solutions

One-Step Inequalities

100

x + 7 < 8

x < 1

200

b - 9 ≥ -20

b ≥ -11

300

-4x > 24

x < 6

400

m/-3 ≤ 12

DOUBLE JEOPARDY

m ≥ 36

500

-10x < 37

x > -3.7

Mystery Grab Bag

100

When you multiply or divide both sides of inequality by a negative number, you have to ___________.

flip the sign.

200

What are the coefficients in this expression?

8 + 2y - 1 - 9y + 3

x < 28

300

9 < 2+(-x)

This is a multi-step inequality!

-7 > x

400

-6x - 3 > -15

This is a multi-step inequality!

x < 2

500

13p - 2p + 2(-3p + 4) = 50 - 7 + 6p

p = -35

Solve and Describe the Number Line

100

x > 9

open circle at 9, pointing right

200

x ≤ 17

closed circle at 17, pointing left

300

x -12 < -4

DOUBLE JEOPARDY

x < 8, closed circle at 8, pointing left

400

-8x > 32

x < -4, open circle at -4, pointing left

500

1/2x ≥ 4

x ≥ 8, closed circle pointing right

Word Problems

100

David Burnley is cooking muffins. The recipe calls for more than 7 cups of sugar. He has already put in 2 cups. How many more cups does he need to put in?

x + 2 > 7 x > 5

200

After paying $5.00 for a salad, Phaedon has no more than $27.00 left. How much money did he have before buying the salad?

x - 5 ≤ 27

x ≤ 32

300

How many t-shirts can Jonah buy with at least $40 if each t-shirt costs $8.00?

8x ≥ 40

x ≥ 5

400

Last Friday Chase had $22.50. Over the weekend he received some money for cleaning. He now has over $32.00. How much money did he get for cleaning?

x + 22.50 > 32

x > 9.50

500

Bex's employer has at most $18.00 to spend on tape measures for her crew. How many can she buy with that amount if each tape measure costs $4.50?

4.5x ≤ 18

x ≤ 4