Understanding One-Step Equations with Fractions

The video tutorial explains how to solve one-step equations involving fractions and variables. It begins with an introduction to fractions with variables, followed by a reminder of the steps to solve one-step equations. Two examples are provided: one involving multiplication and the other division. The tutorial concludes with a brief promotion of the channel.

What is the first step in solving a one-step equation involving a fraction and a variable?

• Divide by the fraction

• Subtract the fraction from both sides

• Multiply by the reciprocal of the fraction

• Add the fraction to both sides

In the equation 2/3x = 12, what is the reciprocal of 2/3?

• 3

• 2/3

• 3/2

• 1/2

After multiplying both sides of 2/3x = 12 by the reciprocal, what is the value of x?

• 36

• 18

• 12

• 24

What is the purpose of using the reciprocal in solving equations with fractions?

• To divide fractions

• To cancel out the fraction

• To add fractions

• To subtract fractions

When the variable is part of the fraction, what operation is used to start solving the equation?

• Multiplication

• Addition

• Division

• Subtraction

In the equation 3/x = 25, what is the first step to isolate x?

• Add 3 to both sides

• Multiply both sides by x

• Subtract 3 from both sides

• Divide both sides by 25

After isolating x in the equation 3/x = 25, what is the next step?

• Subtract 3 from both sides

• Add 25 to both sides

• Divide both sides by 25

• Multiply both sides by 3

What is the simplified form of 2/12?

• 1/6

• 1/2

• 1/3

• 1/4

What should you do after isolating the variable in a one-step equation?

• Multiply the variable by 2

• Check your solution

• Add the variable to both sides

• Subtract the variable from both sides