Solving Equations with Fractions

The video tutorial explains how to solve an equation involving fractions by first clearing the fractions using the least common denominator. It then guides through simplifying the equation, isolating the variable, and solving for x using inverse operations. Finally, the solution is verified by substituting back into the original equation.

What is the purpose of solving an equation?

• To find the least common denominator

• To find a value of x that makes both sides of the equation equal

• To determine the largest possible value of x

• To eliminate all fractions from the equation

Why is it beneficial to multiply by the least common denominator?

• It makes the equation more complex

• It reduces the need for further simplification

• It increases the number of fractions

• It changes the solution of the equation

What is the least common multiple of 5, 2, and 10?

• 10

• 5

• 20

• 2

What operation is performed to eliminate the 9x term on the right side of the equation?

• Subtract 9x from both sides

• Add 9x to both sides

• Divide both sides by 9

• Multiply both sides by 9

After adding 9x to both sides, what is the new equation?

• 8x + 25 = 70

• 17x + 25 = 70

• 8x - 25 = -70

• 17x - 25 = -70

What is the next step after obtaining the equation 17x - 25 = -70?

• Divide both sides by 25

• Add 25 to both sides

• Multiply both sides by 25

• Subtract 25 from both sides

What is the final value of x after solving the equation?

• 17/45

• -17/45

• 45/17

• -45/17

How do you verify the solution of the equation?

• By checking if x equals zero

• By substituting the solution back into the original equation

• By multiplying the solution by the least common denominator

• By dividing the solution by the least common denominator

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

• The left side equals the right side

What is the significance of obtaining the same value on both sides of the equation after substitution?

• It verifies the solution is correct

• It confirms the solution is incorrect

• It indicates an error in calculation

• It suggests the need for further simplification