Writing and Analyzing Linear Inequalities: Grade 9 Quiz

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
Used 1+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1. 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 if you want to spend no more than $100.
30 + 5x ≤ 100
30 + 5x < 100
30 + 5x = 100
30 + 5x ≥ 100
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
2. Sarah is saving money to buy a new laptop that costs $800. She saves $50 each week. Write an inequality to represent the number of weeks (w) she needs to save to afford the laptop.
50w >= 800
50w < 800
50w = 800
50w <= 800
Tags
CCSS.6.EE.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3. 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 1 hour. If he has a maximum of 200 hours of labor available, write a system of inequalities to represent the situation.
x + y ≥ 120, 2x + y ≤ 150
x + 2y ≤ 120, 2x + y ≤ 200
x + y ≤ 120, 2x + y ≤ 200
x + y ≤ 100, 2x + 2y ≤ 200
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
4. A school is planning a field trip and can spend no more than $1,200. The cost per student is $30, and there is a fixed cost of $300 for the bus. Write an inequality to represent the maximum number of students (s) that can attend the trip.
s <= 30
s < 30
s >= 40
s = 25
Tags
CCSS.6.EE.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
5. A company produces two types of gadgets, A and B. Each gadget A requires 3 hours of labor, and each gadget B requires 2 hours. If the company has 24 hours of labor available, write a system of inequalities to represent the production limits for A and B.
3x + 2y ≤ 24, x ≥ 0, y ≥ 0
x + y ≤ 12, x ≥ 0, y ≥ 0
3x + 2y ≥ 24, x ≥ 0, y ≥ 0
2x + 3y ≤ 24, x ≥ 0, y ≥ 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
6. Emily wants to buy a new phone and has a budget of $600. If the phone costs $450 and she also wants to buy a case for $25, write an inequality to represent how many cases (c) she can buy without exceeding her budget.
25c ≤ 300
25c ≤ 100
25c ≤ 150
25c ≤ 200
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
7. A concert hall can seat a maximum of 500 people. If tickets for adults cost $20 and tickets for children cost $10, write an inequality to represent the total number of adult (a) and child (c) tickets that can be sold without exceeding the seating capacity.
a + c = 500
a + c ≤ 500
a + c ≥ 500
a + c < 500
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