## MTE 4 - First Degree Equations and Inequalities in One Variable at Southwest Virginia Community College

### Course Description

Effective: 2012-01-01

Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. 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 solving first degree equations and inequalities containing one variable and using them in applications.

### Course Prerequisites/Corequisites

Prerequisites: MTE 3 or qualifying placement score.

### Course Objectives

• Solve first degree equations in one variable.
• Solve first degree equations in one variable using the Addition Property of Equality.
• Solve first degree equations in one variable using the Multiplication Property of Equality.
• Solve first degree equations in one variable using the Addition Property of Equality and the Multiplication Property of Equality.
• Solve first degree equations in one variable that contain parentheses.
• Solve first degree equations in one variable with the variable on both sides of the equal sign.
• Solve first degree equations in one variable and identify the solution to an equation as finite, the empty set or all real numbers.
• Solve a formula or equation for one of its variables.
• Solve a formula or equation for one of its variables using the Addition Property of Equality.
• Solve a formula or equation for one of its variables using the Multiplication Property of Equality.
• Solve a formula or equation for one of its variables using the Addition Property of Equality and the Multiplication Property of Equality.
• Solve first degree absolute value equations containing a single absolute value.
• Solve first degree inequalities in one variable.
• Solve first degree inequalities in one variable stating the solution using inequality notation.
• Solve first degree inequalities in one variable stating the solution using interval notation.
• Solve first degree inequalities in one variable and graph the solution on a real number line.
• Solve application problems using a single first degree equation or inequality.

### Major Topics to be Included

• Solving first degree equations in one variable.
• Solving formulas and equations for one variable.
• Solving first degree absolute value equations containing a single absolute value.
• Solving first degree inequalities in one variable.
• Solving application problems using a single first degree equation or inequality.

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