
Real-Life Inequalities: Solve & Graph Your Limits
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes can they attend? Solve the inequality and graph the solution set.
10
14
12
16
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip and has a budget of $500. The cost per student is $20. Write and solve an inequality to determine how many students can attend the trip, and graph the solution set.
30
20
15
25
Tags
CCSS.6.EE.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has 120 acres of land and wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 3 hours. If the farmer has a maximum of 240 hours of labor available, write and solve the inequality for the number of acres of corn (c) and wheat (w) he can plant. Graph the solution set.
c + w ≤ 120 and 2c + 4w ≤ 240
c + w ≤ 150 and 2c + 3w ≤ 300
c + w ≤ 120 and 2c + 3w ≤ 240
c + w ≤ 100 and 2c + 2w ≤ 240
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert hall has a seating capacity of 300. If tickets are sold for $15 each, and the total revenue must be at least $2000, write and solve the inequality for the number of tickets (t) that must be sold. Graph the solution set.
t >= 134 and t <= 300
t < 134
t = 150
t > 300
Tags
CCSS.6.EE.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Solve the inequality and graph the solution set.
150 miles
300 miles
250 miles
200 miles
Tags
CCSS.7.EE.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer wants to spend no more than $30, write and solve an inequality for the number of cupcakes (c) and cookies (k) they can buy. Graph the solution set.
2c + 3k ≤ 30
4c + k ≤ 30
c + 2k ≤ 30
3c + 2k ≤ 30, k ≤ 15 - 1.5c
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student has a budget of $40 to spend on books. If each book costs $8, write and solve an inequality to find out how many books the student can buy. Graph the solution set.
The student can buy at most 3 books.
The student can buy at most 7 books.
The student can buy at most 5 books.
The student can buy an unlimited number of books.
Tags
CCSS.6.EE.B.8
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