Solving Equations with One Variable Using Additive and Multiplicative Inverses

This lesson teaches how to solve equations with one variable using additive and multiplicative inverses. It begins with a review of what solutions to equations are, followed by an explanation of additive and multiplicative inverses. The lesson then provides step-by-step instructions on solving equations using these inverses, with example problems to illustrate the process. The lesson concludes with a summary of the key concepts covered.

What is the solution to the equation x + 2 = 3?

• x = 2

• x = 3

• x = 1

• x = 0

Which of the following pairs are additive inverses?

• 3 and 3

• 2 and 1/2

• 5 and -5

• 4 and 4

What is the multiplicative inverse of 7?

• 7

• 1/7

• 0

• -7

In the equation 3x + 6 + 4x = 13, what is the first step to solve for x?

• Multiply by 1/7

• Subtract 6 from both sides

• Combine like terms

• Add 6 to both sides

After solving 3 - 5x = 18, what is the value of x?

• x = -5

• x = -3

• x = 5

• x = 3