Writing Equations and Inequalities from Word Problems

Quiz
•
Mathematics
•
8th Grade
•
Medium
Standards-aligned
Courtney Sutton
Used 71+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages each day. Write an equation that can be used to determine how many pages y after x days.
y = 5x
y = 5x + 25
y = 25x
y = 25x + 5
Tags
7.10.A
2.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Kathy works at a warehouse packing boxes. Her job is to place p items that each weigh 2 kg into a wooden box that weighs 1 kg. Kathy can lift a weight of up to 10 kg.
Which inequality represents the number of items Kathy can place in each box and still be able to lift the box?
p + 2 ≥ 10
p + 2 ≤ 10
2p + 1 ≥ 10
2p + 1 ≤ 10
Tags
7.10.A
3.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Gabriel must practice piano at least 15 hours a week. This week, he has practiced 6 hours so far. Piano lessons are part of Gabriel’s practice time. Each lesson is 2 hours long.
Which inequality can be used to find x, the minimum number of lessons Gabriel must attend this week?
x + 6 ≤ 15
2x + 6 ≤ 15
x + 6 ≥ 15
2x + 6 ≥ 15
Tags
7.10.A
4.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Nathaniel runs in a charity race where $2.50 is donated for each kilometer he runs. Each runner of the race starts with a $10 donation regardless of the number of kilometers run. Nathaniel wishes to run enough kilometers to donate a minimum of $40 to charity.
Write an inequality that Nathaniel can use to find the minimum number of kilometers that he must run so that he can donate a minimum of $40 to charity.
2.50x + 10 ≥ 40
2.50x + 10 ≤ 40
10x + 2.50 ≤ 40
10x + 2.50 ≤ 40
Tags
7.10.A
5.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Eliana purchased some pencils for $0.45 each. She also purchased a ruler for $1.60. Eliana spent more than $1.75 on the ruler and pencils.
Which inequality can be used to find p, the number of pencils that Eliana could have purchased?
0.45p + 1.6 < 1.75
0.45p − 1.6 > 1.75
0.45p + 1.6 > 1.75
0.45p − 1.6 < 1.75
Tags
7.10.A
6.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck.
Write an inequality that represents all possible values of x, the number of these boxes that can be loaded into the moving truck.
50x + 400 ≤ 1600
50x + 400 ≥ 1600
400x + 50 ≥ 1600
50x - 400 ≥ 1600
Tags
7.10.A
7.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?
5p + 75 ≤ 386
5p + 75 ≥ 386
75p + 5 ≥ 386
75p + 5 ≤ 386
Tags
7.10.A
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