## MTE 3 - Algebra Basics

### Course Description

Effective: 2012-01-01

Includes basic operations with algebraic expressions and solving simple algebraic equations using signed numbers with emphasis on applications. Credit is not applicable toward graduation.
Lecture 1 hour per week.
1 credits

### General Course Purpose

The purpose of this course is to develop competency necessary to succeed in 100-level math courses in operations and problem solving with algebraic expressions and simple algebraic equations using signed numbers.

### Course Prerequisites/Corequisites

Prerequisites: MTE 2 or qualifying placement score

### Course Objectives

• Determine the absolute value of a number.
• Demonstrate proper use of exponents.
• Express repeated factors using exponents.
• Evaluate powers of numbers.
• Find the principal square root of a perfect square.
• Simplify expressions involving signed numbers.
• Add and subtract signed numbers.
• Multiply and divide signed numbers.
• Use the proper order of operations to simplify expressions containing multiple operations on signed numbers, including powers and square roots.
• Write numbers in scientific notation.
• Convert between integer powers of 10 and equivalent decimal numbers.
• Convert numbers between scientific notation and standard notation.
• Simplify algebraic expressions.
• Identify the properties of real numbers (Commutative, Associative, Distributive, Identity and Inverse Properties).
• Simplify an algebraic expression by combining like terms.
• Simplify algebraic expressions using the order of operations.
• Evaluate a formula or algebraic expression for given values of the variables.
• Solve one-step equations using the addition and multiplication properties.
• Solve one-step equations using rational numbers.
• Solve one-step equations using percents.
• Solve problems using proportions.
• Solve application problems including finding perimeter, area and volume.

### Major Topics to be Included

• Determining the absolute value of a number.
• Using exponents.
• Finding the principal square root of a perfect square.
• Simplifying expressions involving signed numbers.
• Writing numbers in scientific notation.
• Simplifying algebraic expressions.
• Evaluating formulas and algebraic expressions for given values of the variables.
• Solving one-step equations using the addition and multiplication properties.
• Solving problems using proportions.
• Solving application problems including finding perimeter, area and volume.

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