Systems Elimination and Word Problems
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
t + n = 8
t = 3n + 54
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system:
x + y = 19
y = 3x - 1
(14, 5)
(11, 8)
(5, 14)
(8, 11)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system:
x + 6y = 17
x - 3y = 8
(5, 2)
(11, 1)
(1, 11)
no solution
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system:
2x + 3y = -2
3x - 2y = 23
(5, -4)
(-4, 5)
(-5, 4)
infinite solutions
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination
-12x-4y= -8
-6x-2y= -4
no solution
(0,0)
infinite solutions
(4,0)
Tags
CCSS.8.EE.C.8B
7.
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
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