Solving Fractional Equations in Grade 8 Math

The video tutorial covers solving two-step equations with fractions. It begins with an introduction to the topic, followed by a detailed walkthrough of solving two example equations. The instructor emphasizes the importance of eliminating fractions by using the least common denominator and checking the work to ensure accuracy. The video concludes with a summary of key points, including isolating variables and verifying solutions.

What is the first step in solving the equation n - 6 / 2 = 8?

• Subtract 6 from both sides

• Multiply both sides by 2

• Add 6 to both sides

• Divide both sides by 2

Why does the instructor prefer to eliminate fractions early in the process?

• It simplifies the equation

• It makes the equation more complex

• It introduces more variables

• It is a mandatory step

What is the result of multiplying both sides of the equation by 2 in the first example?

• 2n - 12 = 16

• n - 6 = 16

• 2n - 6 = 8

• n - 12 = 8

What is the next step after simplifying 2n - 12 = 16?

• Multiply both sides by 2

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by 2

What is the value of n in the equation n - 6 / 2 = 8?

• 20

• 22

• 24

• 26

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

• To verify the correctness of the solution

• To introduce new variables

• To find a different solution

• To change the equation

In the second example, what is the first step to solve 5 + s / 8 = 5?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the result of multiplying both sides by 8 in the second example?

• 5 + s = 40

• 5 + 8s = 40

• 40 + s = 40

• 40 + 8s = 40

What is the value of s in the equation 5 + s / 8 = 5?

• 40

• 35

• 45

• 30

What is the final step to ensure the solution is correct in both examples?

• Rewriting the equation

• Checking the solution by substitution

• Multiplying both sides by the variable

• Adding the variable to both sides