Simple Solving Systems of Equations
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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14 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve this system of equations using elimination. Choose whether to use addition, subtraction, or multiplication:
7x + 2y = 24
8x + 2y = 30
(6, -9)
(6, -6)
(3, 4)
(-6, 7)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the elimination method used for in solving 3-variable systems?
To substitute variables in a system of equations
To graphically represent a system of equations
To find the determinant of a matrix
To eliminate variables in a system of equations
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When using the elimination method, what is the first step to eliminate one variable?
Multiply one or both equations by a constant
Subtract one equation from the other
Divide one equation by a constant
Add one equation to the other
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
OPEN ENDED QUESTION
1 min • 1 pt
Solve the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3
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5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When using the substitution method, what is the first step to substitute one variable?
Multiply both sides of the equation by a constant.
Solve one of the equations for one variable in terms of the other variable.
Simplify the equation.
Rearrange the equation to isolate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system of equations using the substitution method: x + 2y - z = 4 2x - y + 3z = 7 3x + y + 2z = 1
The system of equations has infinitely many solutions.
The system of equations has exactly one solution.
The system of equations is dependent and has no unique solution.
The system of equations is inconsistent and has no solution.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which method is most suitable for solving 3-variable systems when the coefficients are simple and easy to work with?
matrix method
graphing method
substitution method
elimination method
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