Free Printable Inequality word problems

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Inequality word problems

Total questions: 14

Worksheet time: 1hrs 18mins

Name

Class

Date

What is the correct inequality for this statement? x is at most 30

x < 30

x > 30

x $\le$ 30

x $\ge$ 30

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

$6.89+8.50x\le0.59$

$8.50+0.59x\le6.89$

$0.59+6.89x\le8.50$

$6.89+0.59x\le8.50$

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

$520x+6\le1000$

$520+6x\ge1000$

$520x+6\ge1000$

$520+6x\le1000$

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

$25+0.50x\ge150$

$25x+0.50>150$

$25x+0.50\ge150$

$25+0.50x>150$

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

15h ≤ 105

15h > 105

15h < 105

15h ≥ 105

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?

k ≤ 62

k > 62

k < 62

k ≥ 62

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

7x + 13y < 81

7x + 13y ≥ 81

7x + 13y ≤ 81

7x + 13y > 81

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

57x + 72y ≥ 2700

57x + 72y > 2700

57x + 72y < 2700

57x + 72y ≤ 2700

Addie saved more than $36. Which inequality represents the amount that she saved?

s > 36

s < 36

s ≤ 36

s ≥ 36

10.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

x + y ≥ 6
32x + 20y ≤ 150

x + y ≥ 632
x + 20y ≥ 150

x + y ≤ 6
32x + 20y ≤ 150

x + y ≤ 6
32x + 20y ≥ 150

11.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

12.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

x + y < 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y > 20

x + y < 10

2x + 3y > 20

13.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

14.

Shop rite sells bananas and grapes. The price per banana is $0.30 and you bought a grape for $0.90. For your snacks, you want to spend a maximum of 6 dollars.

0.30b + 0.90 > 6

0.30b + 0.90 ≤ 6

0.30b + 0.90 < 6

0.30b + 0.90 ≥ 6

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Inequality word problems

Total questions: 14

Worksheet time: 1hrs 18mins

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