Solving Equations with Fractions

The video tutorial explains how to solve an equation by isolating the variable. It covers clearing fractions and parentheses, simplifying the equation, and solving for the variable. The solution is verified by substituting back into the original equation to ensure correctness.

What is the first step in solving an equation with fractions?

• Multiply by the largest denominator

• Clear the parentheses

• Isolate the variable

• Add fractions to both sides

How do you clear fractions from an equation?

• Add the fractions together

• Subtract the fractions

• Multiply by the least common denominator

• Divide by the largest fraction

What is the result of distributing 2/9 in the equation?

• x - 1

• 2x - 2

• 2/9x - 2/9

• 9x - 9

What is the least common denominator used in the example?

• 9

• 12

• 3

• 6

After simplifying, what is the coefficient of x in the equation?

• -16

• 18

• -18

• 16

What operation is used to isolate the variable term?

• Subtraction

• Addition

• Multiplication

• Division

What is the final solution for x in the equation?

• -5/9

• 5/9

• -5/16

• 5/16

How do you verify the solution of an equation?

• By guessing the solution

• By using a calculator

• By solving the equation again

• By checking if both sides are equal after substitution

What is the result of substituting the solution back into the original equation?

• The equation becomes undefined

• The left side is less than the right side

• The left side is greater than the right side

• Both sides are equal

What is the purpose of converting a decimal to a fraction during verification?

• To ensure accuracy

• To change the solution

• To make calculations easier

• To simplify the equation