Linear Equations to Solve Problems
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system of linear equations?
Use substitution.
y = -2x - 6
-2x + y = 6
(0, -3)
(-3, -12)
(-3, 0)
(3, -12)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the value of x in the solutiont o this system of linear equations?
Use substitution.
y = -3x + 3
- 2x + 2y = 6
0
No solution
4
- 4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
3x+7y=23
-3x-7y=-17
No solution
ARN
(-3,3)
(3,3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
7x + y = -9
-3x - y = 5
No solution
(1,8)
(-2,-3)
(-1,-2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?
The x
The y
The z
The unknown
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
-6x + 5y = 1
6x + 4y = -10
(1,-1)
(0,-1)
(1,1)
(-1,-1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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