Solving Linear Equations with Fractions

The video tutorial explains how to solve the equation x - 3/2 = 1/8 by isolating x on one side. It involves adding fractions with a common denominator to find the solution x = 13/8. The solution is verified by substituting back into the original equation, confirming its correctness.

What is the initial equation we are trying to solve?

• x + 3/2 = 1/8

• x - 1/8 = 3/2

• x + 1/8 = 3/2

• x - 3/2 = 1/8

What operation is needed to isolate x on the left side of the equation?

• Subtract 3/2 from both sides

• Add 3/2 to both sides

• Multiply both sides by 2

• Divide both sides by 2

What operation is performed to both sides to undo the subtraction of 3/2?

• Addition

• Subtraction

• Multiplication

• Division

What is the least common denominator used to add the fractions?

• 8

• 6

• 4

• 2

What is the solution for x after simplifying the equation?

• x = 14/8

• x = 11/8

• x = 12/8

• x = 13/8

What is the purpose of finding a common denominator?

• To make the fractions equal

• To simplify the equation

• To subtract fractions with different denominators

• To add fractions with different denominators

What is the equivalent fraction of 3/2 with a denominator of 8?

• 15/8

• 12/8

• 9/8

• 6/8

How do we verify the solution is correct?

• By checking if x equals 0

• By substituting x back into the original equation

• By multiplying both sides by 8

• By dividing both sides by 3/2

What is the result of substituting x = 13/8 back into the equation?

• 3/2 = 1/8

• 1/8 = 1/8

• 1/2 = 1/8

• 1/4 = 1/8

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

• Dividing the solution by 8

• Rewriting the equation

• Checking the solution by substitution

• Multiplying the solution by 2