Solving One-Step Equations Using the Reciprocal

This video tutorial explains the concept of reciprocals, demonstrating how to find the reciprocal of a fraction by switching its numerator and denominator. It shows that multiplying a number by its reciprocal results in 1. The tutorial then applies this concept to solve a one-step equation, illustrating the process of isolating a variable by multiplying both sides of the equation by the reciprocal of the coefficient. The solution is verified by substituting it back into the original equation. The lesson concludes with a summary of using reciprocals to solve equations.

What is the reciprocal of the fraction 7/8?

• 8/9

• 7/8

• 8/7

• 1/7

If a number is multiplied by its reciprocal, what is the result?

• 1

• The reciprocal

• 0

• The number itself

To solve the equation 4/7 x = 2/3, what should you multiply both sides by?

• 4/7

• 7/4

• 3/2

• 2/3

What is the solution to the equation 2/5 x = 6/10 after isolating x?

• 2

• 5/3

• 3/5

• 1

How can you verify the solution to an equation involving reciprocals?

• By checking if the solution is a whole number

• By dividing the solution by 2

• By substituting the solution back into the original equation

• By multiplying the solution by 2