Pre-Algebra concepts are presented in this unit, including order of operations, and writing algebraic expressions and equations.

Try our Pre-Algebra lessons below, or browse other units of instruction.




Order of Operations

To learn some rules for the order of operations. To evaluate whole-number expressions using these rules. To translate a word problem into an arithmetic expression, and then evaluate.

Order of Operations With Exponents

To understand all rules for order of operations. To evaluate expressions with exponents according to these rules. "PEMDAS" is used as a mnemonic.

Order of Operations with Integers

To evaluate expressions with integers and exponents according to PEMDAS. To show all work step by step.

Writing Algebraic Expressions

To define variable. To understand the difference between a numerical and an algebraic expression. To translate verbal phrases into algebraic expressions.

Writing Algebraic Equations

To define an algebraic equation. To translate open sentences into algebraic equations.

Practice Exercises

To complete 10 additional exercises as practice with pre-algebra. To assess  students' understanding of all pre-algebra concepts in this unit.

Challenge Exercises

To solve 10 additional problems that challenge students' understanding of pre-algebra. Problems are drawn from real-life situations. To hone students' problem-solving skills.


To review complete solutions to all exercises presented in this pre-algebra unit. Includes the problem, step-by-step solutions, final answer and units for each exercise.

Learning Objectives

Learning Topics: Order of operations, order of operations with exponents, PEMDAS, order of operations with integers, writing algebraic expressions, writing algebraic equations.

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