Two-Step Linear Equations Quiz

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

• To isolate the variable x

• To simplify the equation to a one-step equation

• To eliminate all numbers from the equation

• To find the value of y

In a two-step equation, what should you do after subtracting a number from both sides?

• Divide both sides by the coefficient of x

• Multiply both sides by zero

• Subtract another number from both sides

• Add the same number to both sides

When checking your solution to a two-step equation, what indicates that your solution is correct?

• The solution is negative

• The left side equals the right side of the equation

• The solution is a whole number

• The solution is a fraction

What is the first step in solving the equation 6x - 2 = 13?

• Divide both sides by 6

• Subtract 2 from both sides

• Add 2 to both sides

• Multiply both sides by 6

How do you simplify the fraction 15/6?

• Multiply both numerator and denominator by 3

• Divide both numerator and denominator by 2

• Divide both numerator and denominator by 3

• Add 1 to both numerator and denominator

What operation is used to eliminate a fraction in the equation x/4 + 2 = 3?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 2 from both sides

• Add 4 to both sides

In the equation 2 - x/3 = 7, what is the first step to isolate x?

• Subtract 2 from both sides

• Add x to both sides

• Add 3 to both sides

• Multiply both sides by 3

What is cross multiplication used for in solving equations?

• To multiply fractions

• To solve equations with fractions on both sides

• To add fractions

• To subtract fractions

What is the result of cross multiplying the equation 3/2 = 2x/7?

• 3x = 14

• 4x = 21

• 6x = 21

• 2x = 14

Why is it important to check your solution when solving equations with fractions?

• To confirm the solution is a fraction

• To make sure the solution is positive

• To verify the solution satisfies the original equation

• To ensure the solution is a whole number