Solving One-Step Equations with Multiplicative Inverses

This video tutorial covers solving one-step equations using the concept of multiplicative inverse. It begins with a review of what a multiplicative inverse is, explaining that multiplying a fraction by its reciprocal results in one. The tutorial then demonstrates how to apply this concept to solve equations, including examples with negative fractions and variables. The video also addresses handling negative variables by using opposite operations. Throughout, the importance of checking solutions is emphasized.

What is the result when you multiply a fraction by its reciprocal?

• One

• The reciprocal

• The fraction itself

• Zero

What is the reciprocal of 1/2?

• 1/2

• 2/2

• 1/1

• 2/1

What is the reciprocal of -2/3?

• -3/2

• 2/3

• 3/2

• -2/3

In the equation 1/3 * x = 12, what should you multiply both sides by to isolate x?

• 1/12

• 12

• 3/1

• 1/3

What is the value of x in the equation 1/3 * x = 12?

• 48

• 12

• 24

• 36

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

• 2/3

• 3/2

• -3/2

• -2/3

What is the value of x in the equation -2/3 * x = 12?

• 12

• -12

• 18

• -18

What operation should you use to get rid of a negative sign in front of a variable?

• Division

• Subtraction

• Addition

• Multiplication

What is the value of x in the equation -x = 5?

• 0

• -5

• 5

• 1

What is the result of -(-5)?

• -5

• 0

• 5

• 10