Elimination Method Quiz

What is another name for the elimination method?

• Division method

• Subtraction method

• Multiplication method

• Addition method

In the elimination method, what is the goal when adding equations?

• To find the sum of all variables

• To create a new variable

• To eliminate one variable

• To double the coefficients

What should you do after eliminating one variable in a system of equations?

• Graph the equations

• Multiply the result by two

• Solve for the remaining variable

• Add more equations

How can you manipulate equations to align coefficients for elimination?

• Divide both sides by the same number

• Subtract a constant from both sides

• Multiply both sides by the same number

• Add a constant to both sides

What does it mean if all variables disappear and the resulting statement is true?

• There is no solution

• There is a unique solution

• The system is inconsistent

• There are infinite solutions

What is the term for a system with no solutions?

• Dependent system

• Independent system

• Consistent system

• Inconsistent system

In the final example, what is the first step to eliminate a variable?

• Divide the equations by a common factor

• Multiply the equations to align coefficients

• Add the equations directly

• Subtract one equation from the other

How can fractions be handled in the elimination method?

• By converting them to decimals

• By adding them to both sides

• By multiplying through by the common denominator

• By ignoring them

What is the solution to the system in the final example?

• (2, -3)

• (-2, 3)

• (3, 2)

• (-3, -2)

Why might the substitution method not be recommended for the final example?

• It results in fractions

• It is slower than elimination

• It involves complex numbers

• It requires more equations