
Linear Equations and Inequalities Word Problems
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
Used 1+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5x+0.5y=78.5
x+y=87
1.5x+0.5y=78.5
1.5x+0.5y=87
x+y=78.5
1.5x+0.5y=87
x+y=78.5
x+y=87
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?
5.1 + 2.5y ≥ 60
60 < 5.1 + 2.5
5.1 + 2.5y ≤ 60
5.1 + 2.5y > 60
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
x+y≤300
7.5x+5.5y≥2000
x+y<300
7.5x+5.5y≥2000
x+y≤300
7.5x+5.5y≤2000
x+y>2000
7.5x+5.5y≤300
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Sam make $10.25 per hour working at Cheddars. He plans to buy a laptop for $550. Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
10.25h < 550; less than 54 hours
10.25h > 550; greater than 54 hours
10.25h ≤ 550; at most 54 hours
10.25h ≥ 550; at least 54 hours
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Erin can read at least 80 words per minute. Write an inequality to show this situation.
x > 80
x < 80
x ≥ 80
x ≤ 80
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Four times a number increased by 7 is at least 19.
4x > 19
4x + 7 ≥ 19
4x < 19
4x + 7 ≤ 19
Tags
CCSS.7.EE.B.4B
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