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.

100x + 25 y ≤ 100 2x + 8y ≤ 14

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.

s + t ≤ 20 6s + 7.50t ≥ 92 t ≤ 7

s + t < 20 6s + 7.50t ≥ 92 t >7

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

100x + 40y > 100 3x + 2y ≤ 40

System of Inequalities

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.D.12, HSA.CED.A.3, 8.EE.C.8C

+2

Standards-aligned

Lindsay Foster

Used 119+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write an inequality represented by the graph.

x < - 3

y < - 3

x > - 3

x ≥ - 3

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of inequalities by graphing.

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of inequalities by graphing.

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which point is a solution?

(0, 6)

(-3, 5)

(1, 0)

(-4, 3)

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the system, determine a solution.

No solution

Infinite solutions

(-5, 5)

(5, -5)

Tags

CCSS.HSA.REI.D.12

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System of Inequalities

20 questions

Which of the following is not a solution to this system of inequalities?

Which system of inequalities is shown?

Write an inequality represented by the graph.

Solve the system of inequalities by graphing.

Solve the system of inequalities by graphing.

Which point is a solution?

Given the system, determine a solution.

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

The graph shows which inequality?

Match the system to the graph (solution set is on the left)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

System of Inequalities

20 questions

Which of the following is not a solution to this system of inequalities?

Which system of inequalities is shown?

Write an inequality represented by the graph.

Solve the system of inequalities by graphing.

Solve the system of inequalities by graphing.

Which point is a solution?

Given the system, determine a solution.

Graph: y≤-2x+5y>2x+7Which of the following is NOT a solution?

The graph shows which inequality?

Match the system to the graph (solution set is on the left)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?