Graphing Systems of Inequalities Word Problems

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the system of inequalities
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
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?
x + y < 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y > 20
x + y < 10
2x + 3y > 20
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
1.75 + 0.65m < 10
1.75 + 0.65m > 10
1.75m + 0.65 < 10
1.75m + 0.65 > 10
Tags
CCSS.7.EE.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of linear inequalities is represented by the graph?
y≤2x-1
y>-2x+3
y>2x-1
y≤-2x+3
y<2x-1
y≥-2x+3
y≤2x-1
y>2x+3
Tags
CCSS.HSA.REI.D.12
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of inequalities is described by this graph?
y < x−2
y < 3
y > -x+2
y > 3
y < -x+2
y < 3
y < -x+2
y > 3
Tags
CCSS.HSA.REI.D.12
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of inequalities is represented by the graph?
x≤-2
y≤x-3
y≤-2
y≤x-3
x≥-2
y≤x-3
y≥-2
y≤x-3
Tags
CCSS.HSA.REI.D.12
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