
Exploring Real-Life Linear Inequalities and Graphs
Authored by Anthony Clark
English, Mathematics
9th 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. Write an inequality to represent the total cost (C) for attending x classes in a month. Graph the inequality on a coordinate plane.
C > 30 + 5x
C <= 30 + 5x
C = 30 + 5x
C >= 30 + 5x
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has 100 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 1 hour. If the farmer has 120 hours of labor available, write an inequality to represent the situation and graph it.
x + y = 100, 2x + y = 120
x + y ≥ 100, 2x + y ≥ 120
x + y ≤ 120, 2x + y ≤ 100
x + y ≤ 100, 2x + y ≤ 120
3.
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 an inequality to represent the maximum number of students (s) that can attend the trip. Graph the inequality on a coordinate plane.
s ≤ 25
s ≤ 30
s ≤ 20
s < 25
Tags
CCSS.6.EE.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company produces two types of gadgets: Type A and Type B. Each Type A gadget requires 3 hours of labor, and each Type B gadget requires 2 hours. If the company has 60 hours of labor available, write an inequality to represent the production limits and graph it.
3x + 2y ≤ 60
x + 2y ≤ 60
2x + 3y ≤ 60
3x + y ≤ 60
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert venue can hold a maximum of 2000 people. If tickets are sold for $15 each, write an inequality to represent the total revenue (R) generated from selling t tickets. Graph the inequality on a coordinate plane.
R ≤ 30000
R ≥ 20000
R = 15000
R < 30000
Tags
CCSS.6.EE.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A restaurant has a seating capacity of 150 people. If each table seats 5 people, write an inequality to represent the maximum number of tables (t) that can be set up. Graph the inequality on a coordinate plane.
t >= 25
t < 30
t <= 30
t > 30
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A charity event aims to raise at least $1000. If each ticket sold is $25, write an inequality to represent the number of tickets (n) that need to be sold. Graph the inequality on a coordinate plane.
n > 40
n < 40
n ≤ 40
n ≥ 40
Tags
CCSS.6.EE.B.8
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