Systems of Equations by Graphing, Substitution, Adding or Subtracting
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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15 questions
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1.
DRAW QUESTION
1 min • 14 pts
A group of students on a field trip. If the group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?
Answer explanation
Read the problem, underline and write important keywords. Set a system of linear equations using the given information.
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
What is the solution for the following system of equations?
5x + 7y =3
2x + 3y =1
(-2, 1)
(2, -1)
(1, -2)
(-1, 2)
Answer explanation
To solve systems of equations either use the graphing, substitution, or elimination method.
Write answered in ordered pair (x, y).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
OPEN ENDED QUESTION
1 min • 5 pts
Can a system of two linear equations have exactly two solutions? Explain
Evaluate responses using AI:
OFF
Answer explanation
Two lines intersect in no points, one point, or an infinite number of points .
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Which best describes a system of equations that has no solution?
consistent, independent
inconsistent, dependent
consistent, dependent
inconsistent
Answer explanation
A system of equations that has no solution is inconsistent.
Tags
CCSS.8.EE.C.8B
5.
FILL IN THE BLANKS QUESTION
1 min • 2 pts
Systems of equations can be solved in more than one way either by graphing, substitution, or elimination, which method do you prefer?
(a)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
DRAW QUESTION
1 min • 7 pts
Solve the following of equations using elimination. What is the value of y?
2x + 3y =105
x + 2y = 65
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
a method used to solve systems of equations by graphing the equations and looking for points of intersection
substitution method
graphing method
elimination method
Tags
CCSS.8.EE.C.8B
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