Solving Equations with Fractions

This video tutorial demonstrates how to solve a two-step equation involving fractions. The process includes setting up the equation, finding a common denominator, solving for the variable X, and verifying the solution. The tutorial also covers expressing the solution as a mixed number and checking the accuracy of the solution through substitution.

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

• Multiply both sides by the denominator

• Add or subtract to isolate the variable term

• Divide both sides by the numerator

• Convert fractions to decimals

When isolating the variable term, what operation is performed on both sides of the equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the least common multiple of 8 and 3 used for in the equation?

• To simplify the equation

• To find a common denominator

• To eliminate the variable

• To convert fractions to whole numbers

What does the fraction bar represent in the equation?

• Division

• Multiplication

• Subtraction

• Addition

How do you solve for the variable after obtaining a common denominator?

• Multiply both sides by the reciprocal of the fraction

• Multiply both sides by the denominator

• Subtract the fractions

• Add the fractions

What is the improper fraction solution expressed as a mixed number?

• -5 and 1/6

• -6 and 2/6

• -6 and 1/6

• -5 and 2/6

Why do we multiply by 4 over 1 when solving for x?

• To convert the fraction to a whole number

• To undo the division by 4

• To simplify the fraction

• To eliminate the variable

What is the purpose of substituting the solution back into the original equation?

• To eliminate fractions

• To simplify the equation further

• To verify the solution is correct

• To find a new solution

What is the result of simplifying -21/24?

• -3/4

• -7/8

• -2/3

• -5/6

What is the final step in solving a two-step equation with fractions?

• Finding a common denominator

• Multiplying both sides by the denominator

• Checking the solution by substitution

• Expressing the solution as a mixed number