Solving Equations with Fractions

The video tutorial explains how to solve the equation 3/4x = -9/8 using two methods. The first method involves multiplying both sides by the reciprocal of 3/4 to isolate x. The second method clears fractions by multiplying both sides by the least common denominator. Both methods yield the solution x = -3/2. The solution is verified by substituting back into the original equation.

What is the first step in solving the equation 3/4x = -9/8?

• Subtract 3/4 from both sides

• Multiply both sides by 3/4

• Add 9/8 to both sides

• Isolate x on one side

Why do we multiply by the reciprocal instead of dividing by a fraction?

• It is easier to calculate

• It is more accurate

• It is a standard mathematical practice

• It avoids complex fractions

What is the reciprocal of 3/4?

• 1/3

• 3/4

• 4/3

• 1/4

After multiplying by the reciprocal, what is the simplified form of the left side of the equation?

• 9x

• x

• 3x

• 4x

What is the least common denominator of 4 and 8?

• 8

• 12

• 16

• 4

What operation is performed to clear fractions from the equation?

• Divide by the least common denominator

• Multiply by the least common denominator

• Add the denominators

• Subtract the numerators

What is the simplified form of -9/6?

• -2/3

• -3/2

• -1/2

• -3/4

How do we verify the solution of the equation?

• By graphing the equation

• By checking the original equation

• By solving a different equation

• By using a calculator

What is the result of 3/4 times -3/2?

• 9/8

• 8/9

• -8/9

• -9/8

What does the verification step confirm about the solution?

• The solution is correct

• The solution needs adjustment

• The solution is approximate

• The solution is incorrect