Solving Two-Step Equations with Fractions

The video tutorial explains how to solve a two-step equation involving fractions. It begins by setting up the equation and then demonstrates how to undo addition and subtraction. The tutorial further explains the use of reciprocals to isolate the variable and concludes with verifying the solution by substituting the value back into the original equation.

What is the first step in solving the equation 1/5x - 3 = 17?

• Add 3 to both sides

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 3 from both sides

After adding 3 to both sides of the equation 1/5x - 3 = 17, what is the resulting equation?

• 1/5x = 14

• 1/5x = 20

• x = 17

• x = 20

What operation is used to isolate the variable x in the equation 1/5x = 20?

• Multiplying by 5

• Adding 5

• Subtracting 5

• Dividing by 5

What is the reciprocal of 1/5?

• 1

• 5

• 1/5

• 5/1

Why do we multiply by the reciprocal when solving the equation 1/5x = 20?

• To add fractions

• To simplify the equation

• To isolate the variable x

• To make the fraction larger

What is the value of x after multiplying both sides of the equation 1/5x = 20 by 5?

• 20

• 25

• 5

• 100

What is the final step to verify the solution of the equation?

• Subtract the solution from the original equation

• Multiply the solution by the original fraction

• Plug the solution back into the original equation

• Divide the solution by the original fraction

What is the result of plugging x = 100 back into the original equation 1/5x - 3 = 17?

• 17

• 3

• 20

• 100

What does the equation 1/5x - 3 = 17 become after verifying the solution x = 100?

• 100 - 3 = 97

• 20 - 3 = 17

• 1/5 * 100 = 20

• 1/5 * 100 - 3 = 17