## MTE 4 - First Degree Equations and Inequalities in One Variable at Dabney S. Lancaster 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.