Solving Systems with Substitution
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the best method to use?
y = 6x − 11
−2x − 3y = −7
Graphing
Substitution because a variable is isolated.
Elimination because both equations are in standard form.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system of equations. x + 2y = -3
y = x + 12
(-9, 3)
(-7 ,5)
(3, 15)
(9, 6)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system using any method.
y=-x+4
y=2x+4
(0,4)
(2,4)
(-1,3)
(4,0)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
yes
no
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which answer has a correct first step for solving this system without graphing:
The variable is already isolated, so we've already solved the system.
The variable is already isolated for y, so we substitute it in the first equation and solve for x
3x + 3(3x + 5) = 3
Free sha vaca doo
The variable is already isolated for y, so we substitute it in the second equation and solve for x
y = 3(3x + 3y) = 3
Answer explanation
A variable is already isolated here, so we already have an equivalent expression from the second equation that can be substituted in place of y in the first equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system?
x= 7 - 2y
2x + y = 5
(-1,4)
(4,-1)
(1,3)
(3,1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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