Two-Step Equations Quiz

What is the primary goal when solving two-step equations?

• To make both sides of the equation equal zero

• To get the variable alone on one side

• To multiply all terms by the same number

• To eliminate all numbers from the equation

Which of the following is NOT one of the three key principles for solving equations?

• Always add before subtracting

• Keep the equal signs aligned

• Do the same operation on both sides

• Keep the variable on one side

In the equation -4X + 9 = -3, what is the first step to isolate the variable?

• Multiply by 4

• Divide by -4

• Subtract 9 from both sides

• Add 5X to both sides

After isolating -4X = -12, what operation is used to solve for X?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply by -4

• Divide by -4

How can you verify the solution to an equation?

• By checking if both sides are negative

• By substituting the solution back into the original equation

• By solving a different equation

• By multiplying the solution by 2

What is the first step in solving the equation -X/5 - 3/4 = -11/4?

• Divide by -5

• Subtract 3/4 from both sides

• Add 3/4 to both sides

• Multiply both sides by 5

After simplifying -X/5 = -2, what operation is used to solve for X?

• Add 5

• Multiply by 5

• Divide by -5

• Multiply by -5

What is the result of multiplying -2 by -5 in the equation -X/5 = -2?

• -5

• 5

• -10

• 10

How do you convert -11/4 to a mixed number?

• 2 and 3/4

• -2 and 3/4

• 3 and 1/4

• -3 and 1/4

What is the final step in verifying the solution to the second example equation?

• Check if the solution is positive

• Ensure both sides of the equation are equal

• Add the solution to both sides

• Multiply the solution by 2