Multi-Step Equations Quiz

What is the primary goal when solving a multi-step equation?

• To eliminate all numbers

• To isolate the variable

• To multiply all terms

• To add all coefficients

In the first example, what operation is used to eliminate the fraction?

• Addition

• Subtraction

• Distribution

• Division

How do you simplify the expression -12x divided by 3?

• -4x

• 3x

• 4x

• -3x

In the second example, what is the result of combining -20x and 16x?

• -36x

• -4x

• 36x

• 4x

What is the next step after distributing in the second example?

• Add all terms

• Subtract constants

• Divide by the coefficient

• Combine like terms

In the third example, what is the result of distributing 2 times (4x - 9)?

• 8x + 18

• 8x - 18

• 4x - 18

• 4x + 18

What is the purpose of distributing the negative sign in the third example?

• To divide terms

• To multiply terms

• To change signs

• To add terms

In the final example, what is the result of combining 10x and -3x?

• 13x

• 7x

• -7x

• -13x

What is the result of simplifying 45 - 24 in the final example?

• 21

• -21

• 69

• -69

What is the final value of x in the last example?

• 9

• -7

• -9

• 7