Principles of Algebra Mid term Study Guide

Front

Combining Like Terms: 5a - 2b + 3a

Back

8a - 2b

Front

Combining Like Terms: 3y + 4 + 5y

Back

8y + 4

Front

Order of Operations: Which sequence represents the correct order of operations in mathematics?

Back

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Front

Distributive Property and Combine Like Terms: 3(-6m + 7) - 5m

Back

-23m + 21

Front

Distributive Property and Combine Like Terms: 4x + 3(3x + c - 3) + 6(c - 3)

Back

13x + 9c - 18

Front

Definition of Like Terms

Back

Terms that have the same variable raised to the same power.

Front

Definition of Distributive Property

Back

a(b + c) = ab + ac; distributing a term across a sum.

Front

Definition of Order of Operations

Back

A set of rules that determines the sequence in which operations are performed in a mathematical expression.

Front

Example of Combining Like Terms: 2x + 3x - 4

Back

5x - 4

Front

Example of Distributive Property: 2(3 + 4)

Back

2*3 + 2*4 = 6 + 8 = 14