Linear Systems Different Methods
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
Solve the given system of linear equations:
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
OPEN ENDED QUESTION
1 min • 3 pts
What are the steps in solving for the solution to a system of linear equations in two variables using the elimination method.
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Answer explanation
5 STEPS IN SOLVING SYSTEM OF LINEAR EQUATIONS BY ELIMINATION METHOD
STEP 1:
Multiply, if necessary, one or both equations by a constant so at least one pair of like terms has the same or opposite coefficients.
STEP 2:
Add or subtract the equations to eliminate one of the variables.
STEP 3:
Solve the resulting equation.
STEP 4:
Substitute the value from Step 3 into one of the original equations and solve the other variable.
STEP 5:
Check your answer in the other equation you did not use in Step 4.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
OPEN ENDED QUESTION
1 min • 2 pts
Why is it important to know different methods in solving a system of linear equations? What could possibly happen if you only know one way of solving?
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Answer explanation
Knowing different methods to solve a system of linear equations allows flexibility in tackling various problems. Relying on one method may lead to difficulties with complex systems or specific cases where that method is inefficient.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system of linear equations:
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
No Solution
(2, 2)
(-1, 2)
(-1, -2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When you graph the exact same equation twice,
you will have no solution.
you will have one solution.
you will have infinite solutions.
you will graph a giraffe.
Tags
CCSS.8.EE.C.8B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
(0,3)
(3,0)
No solution(parallel lines)
Infinitely many solutions
Tags
CCSS.8.EE.C.8B
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