Using the Identity and Inverse to Write Equivalent Expressions – Practice ProblemsHaving fun while studying, practice your skills by solving these exercises!

This exercise will soon be on your smartphone!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem.

When performing arithmetic operations on real numbers, it’s important to know about additive identities, multiplicative identities, the additive inverse, and the multiplicative inverse. Adding a number to its additive inverse will always result in the additive identity, zero, while multiplying a nonzero real number by its multiplicative inverse will always result in the multiplicative identity, one. Learn about additive and multiplicative inverses and identities by watching Mr. Magic and his assistant, Vanna, perform magic tricks to amaze a crowd. Common Core Reference: CCSS.MATH.CONTENT.7.EE.A.1

Exercises in this Practice Problem
 Describe the additive and multiplicative inverses and identities. Determine which statements are true. Decide which inverse or identity is being applied to $x$ in the equation. Identify which inverse or identity $x$ represents for each equation. Find the right identity or inverse needed to make the equation true. Recall the definitions of additive identity, multiplicative identity, additive inverse, and multiplicative inverse.