System of Equations Graph Word 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 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
x + y = 15
4x + 2y = 44
4x + 2y = 15
x + y = 44
x = 2y + 44
4x = y + 15
2x - 4y = 44
x - y = 15
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to the system?
(0, 3)
(1, -1)
(-3, 1)
(1, 3)
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3
(26, 23)
(26, 29)
(29, 26)
(29, 32)
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
a. y = ½ x + 2
y = –x – 3
b. y = ½ x + 2
y = x – 3
c. y = –½ x – 3
y = –x + 2
d. y = –½ x + 3
y = x + 2
Tags
CCSS.8.EE.C.8B
6.
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 lines will not intersect, so the system has no solution
The line are parallel, 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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system?
(1, -1)
(-1, 1)
(0, -2)
(2, 0)
Tags
CCSS.8.EE.C.8B
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