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?
Solving Systems of Inequalities Algebraically

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
2.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
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
x+y≤300
7.5x+5.5y≥2000
x+y<300
7.5x+5.5y≥2000
x+y≤300
7.5x+5.5y≤2000
x+y>2000
7.5x+5.5y≤300
3.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
b + t < 15
3b + 6t > 66
b + t > 15
3b + 6t < 66
3b + 6t > 15
b + t < 66
3b + 6t < 15
b + t < 66
4.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Which of the following is a solution to the systems of inequalities?
(0, 0)
(-3, 0)
(2, -5)
(3, -1)
5.
HOTSPOT QUESTION
1 min • 1 pt
Select ALL the possible solutions to the system of linear inequalities.
6.
DRAG AND DROP QUESTION
1 min • 1 pt
Which of the following is a solution to this system of inequalities?
(a)
(2,6)
(0,0)
(-4,3)
(6,2)
7.
DRAG AND DROP QUESTION
1 min • 1 pt
(a) (b)
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