
Linear inequalities (two variables)
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Mathematics
9th - 12th Grade

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20 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
How many of each purse should Sarah make to maximize profit? (Recall: x represents small purses and y represents big purses)
6 big purses
8 small purses
6 small purses and 2 big purses
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Objective quantity:
30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3. Katie works part-time at the Fallbrook Riding Stable. She makes $5 an hour for exercising horses and $10 an hour for cleaning stalls. Her goal is to make no less than $90 a week. Because Katie is a full-time student, she cannot work more than 12 hours per week and still maintain a high GPA. Write a system of equations that model this situation.
5x + 10y > 90
x + y < 12
5x + 10y < 90
x + y < 12
5x + 10y < 90
x + y >12
5x + 10 > 90
x + y < 12
4.
MULTIPLE SELECT QUESTION
30 sec • 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. Which of these combinations of two- and three-point shots would allow Cole to beat the challenge? Select all that apply.
4 three-point baskets and 6 two-point baskets
5 three-point baskets and 1 two-point basket
7 three-point baskets and 8 two-point baskets
6 three-point baskets and 4 two-point baskets
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Parker and Payton are also opening a pet-sitting business; they can fit a cat run in 5 square feet, and a dog run in 25 square feet. They cannot go over 250 square feet total.
Which of the following combinations of cats and dogs meet this constraint?
12 cats and 12 dogs
15 cats and 0 dogs
0 cats and 12 dogs
50 cats and 10 dogs
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company produces two types of products, Product P and Product Q. The profit per unit of Product P is $10 and the profit per unit of Product Q is $15. The company wants to maximize its profit while producing at least 50 units of Product P and at least 30 units of Product Q. Write a system of linear inequalities to represent this situation.
10x + 15y <= z
x <= 50
y <= 30
10x + 15y >= z x >= 50 y >= 30
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Maximize P = 3x + y with the following constraints:
x = 0, y = 300
x = 150, y = 150
x = 100, y 150
x = 150, y = 100
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