Solving Equations with Fractional Coefficients

What is the multiplicative inverse of 2/3?

• 1/3

• 2/3

• 3/2

• 3/4

What is the purpose of multiplying both sides of an equation by the reciprocal of the coefficient?

• To eliminate the variable

• To convert the equation into a fraction

• To isolate the variable

• To simplify the equation

What is the result of multiplying an improper fraction by its reciprocal?

• A new fraction

• 0

• The original fraction

• 1

How do you convert an improper fraction to a mixed number?

• Add the numerator to the denominator

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

What is the reciprocal of 5/2?

• 1/10

• 10

• 5/2

• 2/5

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Divide the whole number by the denominator and subtract the numerator

• Add the whole number to the numerator

• Subtract the numerator from the whole number

What is the solution to an equation if the coefficient of the variable is a mixed number?

• A mixed number

• An improper fraction

• A whole number

• Cannot be determined

What is the first step in solving a two-step equation?

• Convert to an improper fraction

• Cancel out the variable

• Eliminate the constant

• Multiply by the reciprocal

What happens when you subtract a constant from both sides of an equation?

• The equation becomes simpler

• The variable is isolated

• The coefficient becomes a fraction

• The equation becomes a two-step equation

In a two-step equation, after eliminating the constant, what is the next step?

• Add the variable to both sides

• Subtract the coefficient from both sides

• Multiply by the reciprocal of the coefficient

• Convert all fractions to whole numbers