Translations
Multi-Step Challenge Inequalities
Two-Step Inequalities
Solutions/Graphing
Word Problems
100
What is the symbol for more than?
>
100

2(x + 7) < 8

x < -3 Sign does NOT flip 

100
3x - 1 ≥ 14
x ≥ 5
100

Name three solutions to x > 9 

Any three numbers bigger than nine. Ex: 10,11,12
100

Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

x + 2 > 7

x > 5

A least 5 more cups

200
What is the symbol for "less than"
<
200

b - 10 + 1 ≥ -20

b ≥ -11

200
x/2 - 4 < 10
x < 28
200

Graph x ≤ 17

closed circle at 17, pointing left

200

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

8x ≥ 40 

x ≥ 5

300
What is the symbol for "no more than?"
≤
300

3x + 4 - x + 2x < 20

x < 4

300
-5x + 3 > -22
x < 5
300

Solve and then graph 

x -12 < -4

x < 8, open circle at 8, pointing left

300

Last Friday Marissa had $22.50. Over the weekend she worked 8 hours and now has over $118.50. Her hourly wage was over what amount?

8x + 22.50 > 118.50 

x > 12

400
What is the symbol for "at most"?
≤
400

2(3x + 5) - 2x > 34

x > 6

400
-6x-3>-15
What is x<2
400

Solve and then list three solutions 

-8x > 32

x < -4, SIGN FLIPS! Need numbers less than -4 Ex: -5, -6, -7

400
To rent a car it costs a start up fee of $75 plus $40 dollars a day. If Leo wants to spend less than 410 on his rental car, how many days can he keep the car. 

40x + 75 < 410 

x < 8.375 

Eight days

500
What is the symbol for "at least"?
≥
500

-3(x+1) + 6 < 12

x > -3 SIGN FLIPPED

500
9 < 2+(-x)
What is -7>x
500

Solve, graph, and list three solutions -2x + 1 < 5

x > -2, open circle pointing RIGHT because sign flipped. Three solutions bigger than -2 Ex: -1, 0, 1 

500

Elza has 2000 dollars she's been saving to put towards her housing on vacation. She wants to have at least 400 dollars left of this money after her trip. If she spends $220 each night at the resort, how many days can she stay? 

2000 - 220x ≥ 400

At most 7 nights 

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