
Solving/interpreting linear inequalities in two variables

Quiz
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Ms. Loredo is making her special cantaloupe-and-honeydew salad for a family gathering she is hosting and does not want to spend more than $30 at the supermarket. Currently, cantaloupes cost $3 each and honeydew melons cost $2 each. Which inequality in slope-intercept form best represents the number of cantaloupes, x, and honeydew melon, y. (Write an inequality first, then solve for y.)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Which system of equations or inequalities model the situation?
15x + 20y > 20
x + y < 300
15x + 20y > 300
x + y < 20
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has a field that can be used to grow two types of crops, corn and wheat. Each acre of corn requires 2 hours of labor and each acre of wheat requires 3 hours of labor. The farmer has a total of 40 hours of labor available. The farmer wants to grow at least 5 acres of corn and at least 8 acres of wheat. Write a system of linear inequalities to represent this situation.
2x + 3y >= 40, x <= 5, y <= 8.
2x + 3y <= 40, x <= 5, y <= 8.
2x + 3y >= 40, x >= 5, y <= 8.
2x + 3y <= 40, x >= 5, y >= 8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x = 0, y = 300
x = 150, y = 150
x = 100, y = 150
x = 150, y = 100
Tags
A2.ACE.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Write the system of inequalities:
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
7.5x+5.5y≥2000
7.5x+5.5y≥2000
7.5x+5.5y≤2000
7.5x+5.5y≤300
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Lewis can use six 50-cent stamps and four 23-cent stamps.
Lewis can use five 50-cent stamps and five 23-cent stamps.
If Lewis uses six 50-cent stamps, he only needs to use two 23-cent stamp.
If Lewis uses fourteen 23-cent stamps, he only needs to use one 50-cent stamp.
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least $66 per week. Which system of inequalities below correctly models Joann's situation?
3b + 6t > 66
3b + 6t < 66
b + t < 66
b + t < 66
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