Solving Real-World Problems with Systems of Equations

Solving Real-World Problems with Systems of Equations

9th Grade

10 Qs

quiz-placeholder

Similar activities

Setting Up Word Problems Systems

Setting Up Word Problems Systems

9th Grade

14 Qs

Linear System Word Problems

Linear System Word Problems

9th Grade

14 Qs

Solve Equations with Integers

Solve Equations with Integers

7th Grade - University

14 Qs

Grade 9 Matrix Equations: Real-World Word Problems

Grade 9 Matrix Equations: Real-World Word Problems

9th Grade - University

10 Qs

System of equations review

System of equations review

9th - 12th Grade

14 Qs

Checkpoint - Systems of Linear Equations

Checkpoint - Systems of Linear Equations

8th - 9th Grade

10 Qs

Systems of Equations Linear and Quadratic

Systems of Equations Linear and Quadratic

10th Grade - University

15 Qs

Solving System of Equations Applications

Solving System of Equations Applications

9th Grade

14 Qs

Solving Real-World Problems with Systems of Equations

Solving Real-World Problems with Systems of Equations

Assessment

Quiz

English, Mathematics

9th Grade

Hard

CCSS
8.EE.C.8C

Standards-aligned

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has 100 meters of fencing to enclose a rectangular garden. If the length of the garden is represented by x and the width by y, write the system of equations that represents the perimeter of the garden. What are the feasible dimensions of the garden?

x + y = 50; x > 0, y > 0; feasible dimensions: any positive (x, y) such that x + y = 50.

x + y = 100; x > 0, y > 0; feasible dimensions: any positive (x, y) such that x + y = 100.

x + 2y = 100; x > 0, y > 0; feasible dimensions: any positive (x, y) such that x + 2y = 100.

2x + y = 100; x > 0, y > 0; feasible dimensions: any positive (x, y) such that 2x + y = 100.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip and has a budget of $500. The cost per student is $20 for transportation and $15 for admission. Write a system of inequalities to represent the number of students that can attend. How many students can they afford to take?

10

20

25

14

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company produces two types of gadgets, A and B. Each gadget A requires 2 hours of labor and each gadget B requires 3 hours. If the company has 60 hours of labor available, write a system of inequalities to represent the production limits. What is the feasible region for the number of gadgets produced?

2x + 3y ≤ 70, x ≥ 0, y ≥ 0

The system of inequalities is: 2x + 3y ≤ 60, x ≥ 0, y ≥ 0.

2x + 3y ≤ 50, x ≥ 0, y ≥ 0

x + y ≤ 60, x ≥ 0, y ≥ 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert hall has 300 seats. Tickets for adults are $15 and for children are $10. If the total revenue from ticket sales is $4000, write a system of equations to represent the number of adult and child tickets sold. How many of each type of ticket were sold?

100 adult tickets and 200 child tickets

250 adult tickets and 50 child tickets

200 adult tickets and 100 child tickets

150 adult tickets and 150 child tickets

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bakery sells two types of cakes: chocolate and vanilla. Each chocolate cake requires 3 eggs and each vanilla cake requires 2 eggs. If the bakery has 30 eggs, write a system of inequalities to represent the maximum number of cakes that can be made. What is the feasible region for cake production?

3x + 2y ≤ 30, x ≥ 0, y ≥ 0

3x + 3y ≤ 30, x ≥ 0, y ≥ 0

4x + y ≤ 30, x ≥ 0, y ≥ 0

2x + 3y ≤ 30, x ≥ 0, y ≥ 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local gym offers two types of memberships: basic and premium. The basic membership costs $25 per month and the premium costs $40. If the gym wants to make at least $2000 in a month, write a system of inequalities to represent the number of each type of membership sold. What combinations of memberships meet this goal?

25x + 40y <= 2000, x >= 0, y >= 0

25x + 40y >= 2500, x >= 0, y >= 0

25x + 40y = 2000, x >= 0, y >= 0

The system of inequalities is: 25x + 40y >= 2000, x >= 0, y >= 0.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A charity event is selling tickets for a dinner. Adult tickets are $50 and child tickets are $30. If they want to raise at least $3000, write a system of inequalities to represent the number of adult and child tickets that need to be sold. What are the possible combinations of tickets sold?

50x + 30y >= 3000, x >= 0, y >= 0

50x + 30y <= 3000, x >= 0, y >= 0

60x + 25y >= 3000, x >= 0, y >= 0

40x + 20y >= 3000, x >= 0, y >= 0

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?