Solving Multi-Step Equations with Fractions

The video tutorial explains how to solve equations by clearing fractions. It begins by defining fractions as division and introduces the concept of inverse operations, where multiplication is used to clear fractions. The tutorial demonstrates multiplying each term by a common multiple to eliminate fractions, ensuring both sides of the equation are treated equally. It then walks through solving the equation step-by-step, moving variables to one side and isolating the variable to find the solution.

What does it mean to clear fractions in an equation?

• To add fractions together

• To remove fractions by multiplying by their denominators

• To subtract fractions from both sides

• To divide fractions by their numerators

What operation is the inverse of division?

• Subtraction

• Addition

• Multiplication

• Exponentiation

Why must you multiply both sides of an equation by the same number?

• To simplify the equation

• To change the variable

• To keep the equation balanced

• To make the numbers larger

If you have fractions with denominators 3 and 4, what number should you multiply by to clear the fractions?

• 4

• 12

• 3

• 7

What is the result of multiplying 12 by 3/4?

• 12

• 3

• 36

• 9

After clearing fractions, what is the next step in solving the equation?

• Add the fractions back

• Get the variables on the same side

• Divide by the LCM

• Subtract the LCM

How do you get rid of a smaller variable term on one side of the equation?

• Divide it by both sides

• Multiply it by both sides

• Subtract it from both sides

• Add it to both sides

What is the final step to solve for the variable after isolating it?

• Add the variable

• Subtract the coefficient of the variable

• Multiply by the variable

• Divide by the coefficient of the variable

What is the value of x if the equation is -20 = 51x?

• x = 51/20

• x = -51/20

• x = 20/51

• x = -20/51

What is the purpose of clearing fractions in an equation?

• To add more fractions

• To change the variable

• To make the equation easier to solve

• To balance the equation