Solving Real-World Problems with Systems of Equations

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Standards-aligned
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
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