Solving Two-Step Equations with Fractions

This video tutorial demonstrates how to solve a two-step equation involving fractions. The process includes isolating the variable by adding or subtracting terms, and then solving for the variable by multiplying by the reciprocal. The solution is verified by substituting the value back into the original equation. The video also mentions an alternative method of solving by eliminating fractions, which will be covered in another video.

What is the main focus of this video tutorial?

• Graphing linear equations

• Solving two-step equations with fractions

• Solving equations with decimals

• Solving quadratic equations

What is the first step in solving a two-step equation?

• Multiply both sides by a constant

• Add or subtract to isolate the variable term

• Divide both sides by a constant

• Square both sides of the equation

Why do we need a common denominator when subtracting fractions?

• To convert fractions to decimals

• To make the fractions easier to multiply

• To ensure the fractions are equivalent

• To simplify the equation

What is the least common multiple of 3 and 6?

• 3

• 6

• 12

• 9

What operation is used instead of dividing by a fraction?

• Subtracting the fraction

• Multiplying by the reciprocal

• Adding the fraction

• Squaring the fraction

What is the reciprocal of -4/5?

• 5/4

• 4/5

• -5/4

• -4/5

What is the solution to the equation after solving for x?

• x = 3/4

• x = 2/3

• x = 1/2

• x = 5/8

How do we verify the solution to the equation?

• By solving a different equation

• By substituting the solution back into the original equation

• By checking the solution with a calculator

• By graphing the equation

What should the result be when substituting the solution back into the original equation?

• A different fraction

• The original equation

• The same fraction on both sides

• A decimal value

What will be covered in the next video according to the narrator?

• Solving equations with decimals

• Using a calculator for solutions

• Eliminating fractions before solving

• Graphing solutions