Graphing Systems of Inequalities Word Problems

Graphing Systems of Inequalities Word Problems

9th Grade

20 Qs

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Graphing Systems of Inequalities Word Problems

Graphing Systems of Inequalities Word Problems

Assessment

Quiz

Mathematics

9th Grade

Hard

CCSS
HSA.REI.D.12, 7.EE.B.4B

Standards-aligned

Created by

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

Media Image

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

Media Image

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

Media Image

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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