Solving Multi-Step Equations Involving Fractions

This video tutorial teaches how to solve multi-step equations involving fractions. It begins with an example equation and explains the use of the distributive property. The tutorial covers simplifying fractions, isolating the variable, and solving the equation. It concludes with tips for solving similar problems and emphasizes the importance of checking work.

What is the first step when you see a number before the parentheses in an equation?

• Distribute the number to the terms inside the parentheses

• Divide the number by the terms inside the parentheses

• Add the number to both sides

• Subtract the number from both sides

When distributing -3/5 to W and -1/3, what is the result of -3/5 times -1/3?

• 3/15

• -3/15

• 1/5

• -1/5

What is the common denominator used to eliminate fractions in the equation?

• 1

• 15

• 5

• 3

After multiplying both sides by the common denominator, what is the simplified form of the equation?

• 10 = -3W + 1

• 50 = -3W + 1

• 10 = -15W + 5

• 50 = -15W + 5

What operation is used to isolate the variable W after simplifying the equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of W in the simplified equation?

• 16 1/3

• -16 1/3

• 49/3

• -49/3

How is the mixed number form of -49/3 expressed?

• -16 1/3

• -15 2/3

• 15 2/3

• 16 1/3

What is the first step in checking the solution?

• Rewrite the original equation

• Isolate the variable

• Multiply both sides by the common denominator

• Simplify the fractions

What is the result of simplifying -49/3 - 1/3?

• 48/3

• -48/3

• 50/3

• -50/3

What is the final check to ensure the solution is correct?

• Ensure the left side equals the right side

• Cross-cancel the fractions

• Verify the mixed number form

• Multiply the fractions