Solving Systems of Linear Equations with Elimination

This video tutorial introduces solving equations using the elimination method, focusing on identifying like variable terms with same or opposite coefficients. It explains the steps to solve systems of linear equations, provides example problems, and checks solutions. The tutorial emphasizes understanding like terms, coefficients, and the elimination process, encouraging viewers to practice and verify their solutions.

What are like variable terms in the context of solving equations?

• Terms with the same variables and the same powers

• Terms with the same variables but different coefficients

• Terms that are on opposite sides of an equation

• Terms with different variables and powers

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CCSS.6.EE.A.2B

What does it mean for coefficients to be opposite in like variable terms?

• They are the same number but one is positive and the other is negative

• They are completely different numbers

• They are both positive numbers

• They are both zero

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you determine the distance of coefficients from zero in like terms?

• By subtracting one from the other

• By finding the absolute value of each

• None of the above

• By adding their absolute values

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CCSS.7.EE.A.1

In the elimination method, what should you do if the like terms have the same coefficients?

• Divide the equations

• Subtract the equations

• Add the equations

• Multiply the equations

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you solve for the remaining variable in the elimination method?

• None of the above

• Multiply the equations together

• Substitute the solved value and solve the other variable

• Add the coefficients

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using elimination, what indicates that you should add the equations?

• The variables are different

• The coefficients are the same

• None of the above

• The coefficients are opposites

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What should you do if like terms have opposite coefficients in the elimination method?

• Divide the equations

• Multiply the equations

• Add the equations

• Subtract the equations

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step in solving equations using the elimination method?

• Substitute the values back into the original equations

• Write the solution as an ordered pair

• All of the above

• Check the solution by plugging back into the equations

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does a zero pair in the context of elimination method signify?

• Both A and B

• The terms add up to zero

• None of the above

• The terms cancel each other out

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the purpose of checking your solution in the elimination method?

• To ensure the solution satisfies both original equations

• To find any mathematical errors

• Both A and B

• To compare with other solutions

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6