Rewriting Equations To Use Substitution
Authored by Levi Rentz
Mathematics
8th Grade
CCSS covered
Used 2+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the first step in solving the following system of equations?
Substitute the value of y from one equation into the other equation.
Solve the first equation for y.
Subtract the second equation from the first equation.
Substitute the value of x from one equation into the other equation.
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.REI.A.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which shows the correct first step to solving the system of equations in the most efficient manner?
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.REI.C.5
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
In the system of equations, which variable would it be easiest to solve for?
The easiest to solve for is x in the first equation.
The easiest to solve for is y in the first equation.
The easiest to solve for is x in the second equation.
The easiest to solve for is y in the second equation.
Tags
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Malik solved this system of equations.
As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?
The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 5 so it will be easy to divide 15 by 5.
The variable y in the first equation is divisible by 2 so it will be the most efficient way to start.
The variable y in the first equation has a larger even number. When dividing by 4, the solution will be a smaller number.
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.REI.A.1
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Jerry solved the system of equations.
As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.REI.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
In this system of equations, which variable would it be easiest to solve for?
The easiest to solve for is x in the first equation.
The easiest to solve for is y in the first equation.
The easiest to solve for is x in the second equation.
The easiest to solve for is y in the second equation.
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.REI.C.5
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Theo solved the following problem correctly for homework.
What is the y-coordinate of his solution?
Tags
CCSS.HSA.REI.C.6
CCSS.HSA.CED.A.2
CCSS.HSA.REI.D.11
CCSS.HSA.REI.D.10
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