Number of Solutions to Systems of Equations and Systems of Inequalities
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What's the difference between systems of equations and systems of inequalities?
Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.
Systems of equations use slope-intercept form only while systems of inequalities use standard form only.
Systems of equations have a shaded region while systems of inequalities do not.
There is no difference.
Tags
CCSS.HSA.REI.C.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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. JoAnn wants to to tutor and baby-sit and make at least $66 per week. Formulate an system of inequalities to model how many hours per week she can work at each job.
b + t < 15
3b + 6t > 66
b + t > 15
3b + 6t < 66
3b + 6t > 15
b + t < 66
3b + 6t < 15
b + t < 66
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of inequalities matches the graph?
y > 2x - 4
y < 2
y < 2x - 4
y < 2
y > 2x - 4
y < 2
y < 2x - 4
y < -2
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system of inequalities by graphing.
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
(0, 0)
(2, 1)
(2, 2)
(-1, 1)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which point is a solution of the system above?
(0, 0)
(0, 1)
(1, 0)
(1, 1)
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