# Ch 4: Overview of Linear Equations

### About This Chapter

## 2014 GED Mathematical Reasoning Exam: Overview of Linear Equations - Chapter Summary

Learn how to solve and write linear equations using different math properties through these lessons on the 2014 GED Mathematical Reasoning exam. The chapter also covers graphing rules and different types of slopes and lines. The lessons explore topics on:

- The distributive property
- Linear equation graphs
- Abstract algebra
- Undefined slope
- Parallel and perpendicular lines
- System of equations

Our lessons on linear equations can show you how to solve problems that you may find on the 2014 GED Mathematical Reasoning exam. You'll learn the material through simple and short video lessons that break down each concept and provide sample math problems. You can also complete practice quizzes and assess your learning.

### 2014 GED Mathematical Reasoning Exam Objectives

The 2014 GED exam is the most recent version of the GED and is delivered entirely on a computer. The test seeks to assess your understanding of common high school academic standards in different content areas. The mathematical reasoning component of the exam makes up one of four different subject tests. Algebraic problem solving - which includes linear equations - consists of 55% of the questions on this particular test. The lessons in this chapter on linear equations go over topics you'll find on the actual 2014 GED Mathematical Reasoning exam. Objectives for the lessons include:

- Applying the distributive property to linear equations
- Graphing a linear equation
- Solving abstract algebraic equations
- Transitioning from a graph to a rule
- Using and graphing a system of equations

The 2014 GED Mathematical Reasoning exam is divided into two parts. The first part consists of five questions that must be answered without a calculator, while the second longer section allows the use of a calculator. You'll be given 90 minutes to finish the mathematical reasoning section of the 2014 GED. The mathematical reasoning exam features a variety of question types, including multiple choice, fill-in-the-blank, hot spot and drag-and-drop.

### 1. Applying the Distributive Property to Linear Equations

When it comes to linear equations, there are certain steps you have to take to solve them. One of them is the application of the distributive property when you see a pair of parentheses. Watch this video lesson to learn how.

### 2. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

### 3. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

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### Other Chapters

Other chapters within the College Algebra: Help and Review course

- Basic Arithmetic
- Overview of Real Numbers
- Foundations and Linear Equations: Help and Review
- Matrices and Absolute Value: Help and Review
- Inequalities: Help and Review
- Using FOIL, Graphing Parabolas & Solving Quadratics to Factor: Help & Review
- Properties of Polynomial Functions
- Working with Quadratic Equations
- Complex Numbers: Help and Review
- Exponents and Exponential Expressions
- Overview of Exponents
- Exponents and Polynomials: Help and Review
- Algebraic Expressions and Equations
- Rational Expressions: Help and Review
- Working with Rational Expressions
- Math Expressions and Formulas
- Functions: Help and Review
- Fractions
- Factoring
- Exponentials and Logarithms: Help and Review
- Probability Mechanics: Help and Review
- Calculations, Ratios & Proportions
- Percent Notation
- Data, Statistics & Probability
- Sequences and Series: Help and Review
- Basic Number Sense and Operations
- Overview of Roots & Radical Expressions
- Overview of Continuity in Mathematics
- Overview of Mathematical Limits