Solving Two-Step Equations with Fractions

This video tutorial demonstrates how to solve a two-step equation with fractions. It begins by converting mixed numbers to improper fractions, then isolates the variable by finding a common denominator. The solution is expressed as both an improper fraction and a mixed number. Finally, the solution is verified by substituting it back into the original equation.

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

• Add fractions to both sides

• Multiply both sides by a common factor

• Eliminate all fractions

• Convert mixed numbers to improper fractions

How do you convert 2 and 3/5 to an improper fraction?

• 13/5

• 15/5

• 11/5

• 10/5

What is the purpose of finding a common denominator when subtracting fractions?

• To simplify the equation

• To eliminate fractions

• To isolate the variable

• To ensure accurate subtraction

What operation is performed to isolate the variable term in the equation?

• Subtracting fractions

• Dividing fractions

• Multiplying fractions

• Adding fractions

What is the least common multiple of 5 and 2?

• 5

• 20

• 10

• 15

What is the reciprocal of -2/3?

• 2/3

• -2/3

• 3/2

• -3/2

How is the solution -63/20 expressed as a mixed number?

• -3 and 4/20

• -3 and 2/20

• -3 and 1/20

• -3 and 3/20

What happens when you multiply a negative by a negative?

• The result is undefined

• The result is zero

• The result is positive

• The result is negative

What is the final step in solving the equation after finding the solution as a fraction?

• Multiplying by a common factor

• Simplifying further

• Checking for errors

• Expressing it as a mixed number

Why is it important to check the solution by substituting back into the original equation?

• To find a different solution

• To simplify the equation further

• To verify the solution satisfies the equation

• To eliminate fractions