Algebra: Elimination Method Quiz

What is the first step in solving a system of equations using the elimination method?

• Write the solution as an ordered pair.

• Substitute the value of one variable into the other equation.

• Align like terms with the same or opposite coefficients.

• Add or subtract the equations to eliminate one variable.

In the elimination method, what do you do after aligning like terms?

• Solve for the remaining variable.

• Add or subtract the equations to eliminate one variable.

• Check the solution by substituting back into the original equations.

• Substitute the value into one of the equations.

In the first example problem, what happens when you add -3x and 3x?

• The x terms remain unchanged.

• The x terms are doubled.

• The x terms are eliminated.

• The x terms are halved.

What is the solution to the system of equations in the first example problem?

• x = -24, y = -15

• x = 15, y = 24

• x = 24, y = 15

• x = -15, y = -24

In the second example problem, what is the result of adding 4x and 2x?

• 6x

• 8x

• 0x

• 2x

What is the ordered pair solution for the second example problem?

• (0, 0)

• (3, 3)

• (3, 0)

• (0, 3)

In the third example problem, why is subtraction used instead of addition?

• Subtraction is always preferred.

• Addition would not eliminate any terms.

• Subtraction is easier to calculate.

• The coefficients are already aligned.

What is the solution to the system of equations in the third example problem?

• (6, 0)

• (6, 2)

• (0, 0)

• (2, 6)

In the real-world application problem, what is the cost per day for power tools?

• $6.50

• $9.50

• $8.50

• $7.50

What is the cost per day for ladders in the real-world application problem?

• $6.50

• $7.50

• $5.50

• $8.50