Solving Inequalities in Two Variables

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Cullin needs to save at least $100 for homecoming. He works 2 jobs, earning $8/hour at Culver's Restaurant and $25/hour mowing lawns. He only has time to work 14 hours before homecoming. Which system of inequalities below correctly models Cullin's constraints?
x + y ≥ 25
x + y ≤ 8
100x + 25 y ≤ 100
2x + 8y ≤ 14
x + y ≥ 100
8x + 25y ≤ 14
8x + 25y ≥ 100
x + y ≤ 14
2.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write a system of inequalities to model the following situation:
"Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair."
10x+15y≤480
45x+25y≥250
10x+25y≤200
15x+45y≤480
10x+25y>200
15x+45y<480
10x+25y≥200
15x+45y≤480
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of inequalities to model the situation.
4s+10p≤100
s+p≥5
4s+10p≤100
p≥5
s+p≤100
4s+10p≥5
4+p≤10
5+s≤100
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Lars meets both of his expectations
Lars works for the expected number of days but doesn't earn the expected number of money
Lars earns the expected amount of money but doesn't work for the expected number of days
Lars doesn't meet either of his expectations
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Astrid meets both of her expectations
Astrid buys the expected number of fruits, but she does beyond her budget
Astrid stays within her budget, but she doesn't buy the expected number of fruits
Astrid doesn't meet either of her expectations
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
10X + 2y ≤ 14
y ≤ -5x + 7
y ≥-5x +7
Tags
CCSS.7.EE.B.4B
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