Understanding the Elimination Method in Algebra

What is the elimination method also known as?

• Subtraction method

• Division method

• Addition method

• Multiplication method

What is the main goal when using the elimination method?

• To solve for one variable

• To eliminate one variable

• To simplify the equation

• To find the value of x only

Which equation would you choose to substitute x = 2 into, to avoid negatives?

• 2x + y = 8

• 3x - y = 10

• x + y = 2

• x - 2y = 4

What should you do if the coefficients of the variables are not the same?

• Subtract the equations

• Add the equations

• Adjust the equations by multiplication

• Divide one equation by the other

What is a common mistake when using the elimination method?

• Using subtraction instead of addition

• Not checking the solution

• Forgetting to simplify the equation

• Ignoring the variable coefficients

How can you simplify equations involving fractions before applying the elimination method?

• Add the fractions

• Divide each term by the greatest common divisor

• Multiply each term by the least common multiple

• Subtract the fractions

What should you aim for when adjusting coefficients in the elimination method?

• Make one coefficient zero

• Make coefficients equal

• Make coefficients opposites

• Make all coefficients positive

What is the result of solving the equation 3x + 4y = 5 when y = 2?

• x = 0

• x = 2

• x = -1

• x = 1