Solving Equations with Fractions

The video tutorial explains how to solve equations by isolating the variable, clearing parentheses and fractions, and simplifying the equation. It demonstrates the process of solving for x and verifies the solution through substitution, ensuring the equation holds true.

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

• Add fractions to both sides

• Multiply by the variable

• Clear the parentheses

• Isolate the variable

How do you clear fractions from an equation?

• Subtract the fractions

• Multiply by the least common denominator

• Divide by the largest fraction

• Add the fractions together

What is the result of multiplying two-thirds by two?

• Two-thirds

• Four-thirds

• Three-thirds

• One-third

What is the simplified form of 6 times 1/6?

• 36

• 1

• 0

• 6

What is the next step after simplifying the equation to 4x + 9 = 4?

• Divide both sides by 4

• Multiply both sides by 4

• Add 9 to both sides

• Subtract 9 from both sides

What is the solution to the equation 4x = -5?

• x = -4/5

• x = -5/4

• x = 5/4

• x = 4/5

How do you verify the solution of an equation?

• By substituting the solution back into the original equation

• By guessing the answer

• By dividing the solution by 2

• By multiplying the solution by 2

What is the result of substituting x = -5/4 into the original equation?

• The left side equals 3/2

• The left side equals 2/3

• The left side equals 0

• The left side equals 1

What does it mean if the left side of the equation equals the right side after substitution?

• The solution is incorrect

• The solution is correct

• The equation is unsolvable

• The equation needs to be simplified further

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

• To make the equation more complex

• To verify the solution is correct

• To simplify the equation

• To change the solution