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Inequalities
Word Problems
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100

5+x=30; solve for x

x=25

100

Sam has 25 cards, which is 2 more cards than Ben. Write an equation where x is the number of cards Ben has.

x+2=25

100

True or false when x=8:

2x< 14

False

100

Mary is planting corn and has buy seed. She needs at least 80lbs of seed. If seed comes in 25 lb bags, how many bags should she buy? Write the inequality statement for what she can buy, then write what values would make the statement false

True x> or equal to 4; false is x<4

100

4x=160; solve for x

x=40

200

3x=27; solve for x

x=9

200

Mary has 15 lambs. Susan has twice as many. Write an equation where x is the number of lambs Susan has.

(1/2)x=15

200

True or False when x=9

(3x+5)-2 > 35

False

200

Josie needs 150 books for her new library. If she can buy 5 books for $7, how much will it cost her to purchase the 150 books?

$210

200

5x+23=48; solve for x

x=8

300

23-x=6; solve for x

x=2

300

Gary has 14 pairs of shoes, which is twice as many as Jim. Write an equation where x represents the number of pairs of shoes Jim has

2x=14

300

True or False when x=3

5+x4< 87

True

300

If George is saving up to buy a new bike and he can save $10 a week, but his parents gave him $20 for his birthday, how long will it take him to buy a $200 bike?

18 weeks or 4.5 months

300

Solve when x=7

3+(2x-9) =? 

8

400

5x+7=22; solve for x

x=3

400

If Shawn and Nicky are out fishing catch a total of 32 fish, but Nicky catches 8 more than Shawn, how much did they each catch? BONUS +50 if you can write an equation to solve for x

Shawn=12; Nicky=20; equation: x+x+8=32 OR 2x+8=32

400

This inequality is TRUE when....

4x-9< 23

x< 8

400

Kevin is trying to start a pizza shop business, but he can only make 5 deliveries an hour. If he gets 137 orders in a day, how long will it take him to deliver all the pizzas, assuming each order is a separate delivery?

27 and 2/5 hours, or 27.4 hours, or 28 if you rounded to the nearest hour

400

Solve when x=9

4x-2(5+6)

14

500

(3/6)+x=2; solve for x

x=1.5

500

At a school, students can pick a hamburger, pizza, or salad for lunch. If four times as many order pizza as hamburgers, and half as many order salad as pizza, how many of the 140 students order hamburgers?

20 order hamburgers; 80 order pizza; and 40 order salad

500

A classroom needs dry erase markers. The teacher wants no more than 240 markers. They come in packs of 20. Does this inequality expression match the teacher's needs?

20x>240

No, the sign should be less than or equal to, not greater than

500

Kevin now has hired some help. If he can still only deliver 5 pizzas an hour, but his hired driver can deliver 7, how long will it take them to deliver a total of 420 pizzas?

35 hours

500

Solve when x=(1/2)

2+(10x+23)-4

11