Combining Like Terms and Distributive Property

Mayansky/Finizio

Quiz Date: 10/19/04

Algeo I Study Guide

Combining Like Terms and Distributive Property

Combining Like Terms:

*When combining like terms you may only combine terms that have the same variable.

Sample Problem:

*In this equation you may combine 6x and 2x because they both have the same variables (x).

*You may not combine 16y with any other term because there is no other number with the same variable (y).

*You may not combine the 4 with any other number because there is no other number in the expression that has no variable.

Therefore this expression written in simplest terms is:

Practice Problems

Distributive Property

Sample Problem #1:

Step #1: Multiply 5 by both numbers inside the parenthesis (keep the sign between them).

Step #2: Complete the multiplication and add both products together.

*Your final answer is: 415

Sample Problem #2

Step #1: Multiply 5 by both numbers inside the parenthesis (keep the sign between them).

Step #3: Complete the multiplication and subtract.

*Your final answer is: 45

Sample Problem #3

Step #1: Multiply 3 by both numbers inside the parenthesis (keep the sign between them).

Step #2: complete the multiplication and subtract.

*Your final answer is -21

Practice Problems:

Combining Distributive Property and Combining Like Terms

*Make sure that you follow you order of operations!!!!