Equations and Inequalities Word Problems

A librarian is packing up her library books for the summer. The truck that is taking the books has a total weight limit of 1,400 pounds, and she has already loaded computers that total 200 pounds. The librarian is putting 30 pounds’ worth of books in each box before she loads it on the truck.
Which inequality represents all of the possible values of x, the number of full boxes that can be loaded on the truck?

• 1. 200x + 30 ≥ 1,400

• 1. 30x + 200 ≥ 1,400

• 1. 200x + 30 ≤ 1,400

• 1. 30x + 200 ≤ 1,400

Tags

CCSS.7.EE.B.4B

An environmental group needs at least 2,000 signatures to pass a recycling bill. They have collected 750 signatures so far, and there are 5 weeks remaining to collect signatures. Which number line represents the number of signatures the group needs to collect each week? 

Tags

CCSS.7.EE.B.4B

4. Which situation could be represented by the following equation?

345 + 23x = 677

• 1. Paulina is reading a book with 345 pages total. If she reads 23 pages a day for x days, she will have 677 left to read. 

• 1. Paulina is reading a book with 677 pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she need to read at that pace until she finishes the entire book?

• 1. Paulina has $345 in her bank account. If she withdraws $677, how many days, x, remain until she has $23 left?

• 1. Paulina has $677 in her bank account. If she withdraws $23 a day, how many days, x, remain until she has $345 left?

Tags

CCSS.HSA.CED.A.3

A family of 4 went to an amusement park. Each ticket cost the same amount. At the park, they spent $109.99 throughout the day for food and souvenirs. The total cost of the trip, including the tickets, was $347.95. Which equation represents the total cost?

• 1. 4t + 109.99 = 347.95

• 1. 4 + 109.99t = 347.95

• 1. 4(t + 109.99) = 347.95

• 1. 4(4 + 109.99t) = 347.95

Tags

CCSS.HSA.CED.A.3

What has keys but can't open locks?

What is the solution set for the inequality 14 – 3f > 2?

• 1. f > 4

• 1. f < 4

• 1. f > –4

• 1. f < –4

Tags

CCSS.7.EE.B.4B

7. Which situation can be represented by the following inequality?

3.50 + 2.50x ≤ 35

• 1. Lucas can spend at least $35. He has already spent $2.50. How many items, x, each worth $3.50 can Lucas purchase?

• 1. Lucas can spend at least $35. He has already spent $3.50. How many items, x, each worth $2.50 can Lucas purchase?

• 1. Lucas has $35 to spend. He has already spent $2.50. How many items, x, each worth $3.50 can Lucas purchase?

• 1. Lucas has $35 to spend. He has already spent $3.50. How many items, x, each worth $2.50 can Lucas purchase?

Tags

CCSS.7.EE.B.4B

Which number line represents the solution to the inequality

20x + 30 + 5x ≥ 155 ?

Tags

CCSS.7.EE.B.4B

I'm light as a feather, but even the world's strongest man couldn’t hold me for much longer than a minute. What am I?

A skating rink charges $80 for a birthday party rental plus $12 per guest. A family is planning a birthday party at the rink, and they cannot exceed a budget of $200. Whch is a number of guests they can invite? Select TWO answer

• 1. 8 guests

• 1. 13 guests

• 1. 15 guests

• 1. 9 guests

Tags

CCSS.7.EE.B.4B