
Real World Linear System Graph Problems
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to the system of linear equations from the graph?
No solution
Infinite Solutions
(0,1)
(1,0)
1
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?
After 10 hours of work they both earn $250.
Elaina always earns more.
Calvin always earns more.
After 5 hours of work they both earn $125.
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A solution to a system tells us when...
x and y are the SAME for both equations
x is GREATER than y on one equation
y is GREATER than x on one equation
x and y START on the graph
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The solution to the system is (10,5)
The only solution to the system is (0,14)
The system has no solution.
The system has infinite solutions.
Tags
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the nature of solution from the graph given.
Consistent and unique solution
Inconsistent : No solution
Tags
CCSS.8.EE.C.8B
7.
CATEGORIZE QUESTION
1 min • 1 pt
Decide if the following statements are true or false about the graph.
Groups:
(a) True
,
(b) False
The lines will eventually touch, so the system has one solution
The line are parallel, so the system has no solution
The lines will not intersect, so the system has no solution
The slope(m) of the lines are equal
The slopes are equal, so the system has infinitely many solutions
The lines are perpendicular which means they will not ever cross.
Tags
CCSS.8.EE.C.8B
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