# Ch 11: NES Essential Academic Skills Math: Linear Equations

### About This Chapter

## NES Essential Academic Skills Math: Linear Equations - Chapter Summary

The lessons can help you revisit math concepts you haven't explored in months or years. Rediscover linear equations so you're prepared to answer questions on the NES Essential Academic Skills Subtest III Math exam that address:

- Understanding the meaning of a linear equation
- Analyzing intercepts, standard form and graphing of linear equations
- Examining how to evaluate algebraic expressions
- Defining and writing equivalent expressions
- Solving linear equations and one-step linear inequalities
- Describing how to solve one-step algebra expressions in word problems
- Analyzing abstract algebraic examples and detailing how to go from a graph to a rule

Instructors help ease the process of studying for the exam by by condensing months of materials into short, visually entertaining lessons. Watching the lessons allows you to benefit from expert instruction in the comfort of your home.

### NES Essential Academic Skills Math: Linear Equations Chapter Objectives

This NES Essential Academic Skills Math: Linear Equations chapter explores concepts covered in the 0002 test competency, which reviews the fundamental principles of algebra. By passing this subtest with a score of 220 or greater, you can get closer to meeting the requirements necessary to secure educator licensure or certification in your state.

All of the questions on the assessment are multiple choice. You can use the self-assessment quizzes in this chapter to prepare for the questions, since they are similar in format and content. If you need help with any lesson topic in this chapter, submit your question to our expert tutors.

### 1. What is a Linear Equation?

A linear equation is a pattern of numbers with proportional increase or decrease that is used to represent a line graph. Learn how to plot a graph and build and solve a linear equation.

### 2. Linear Equations: Intercepts, Standard Form and Graphing

To solve a linear equation, begin by determining whether it is written in the standard form or the slope-intercept form. Explore the differences between the slope-intercept form and the standard form of a linear equation, and learn how to graph the point of intercept for each.

### 3. Evaluating Simple Algebraic Expressions

To evaluate simple algebraic expressions, substitute a number for each variable and solve. Learn the steps for evaluating simple algebraic expressions, including rules for order of operations and parentheses, and tackle the practice problems in this lesson.

### 4. Writing Equivalent Expressions: Definition & Examples

In mathematics, algebraic expressions are composed of any combination of variables, numbers, exponents, and operations. Learn about algebraic expressions, and explore the process for writing equivalent expressions. Review the definitions and key terms, beware non equivalence, and consider examples to ensure understanding.

### 5. Solving Linear Equations: Practice Problems

Linear equations are algebraic expressions of a line. Become familiar with recognizing and solving linear equations through examples and practice problems.

### 6. Solving One-Step Linear Inequalities

One-step linear inequalities are expressed with inequality signs (< or >) instead of equal signs (=) and can be solved in different ways. Learn how addition, subtraction, multiplication, and division are all useful tools to solve these equations.

### 7. How to Solve One-Step Algebra Equations in Word Problems

Certain word problems can be translated into an algebraic equation and solved in a single step. Learn the definition of a one-step algebra equation, and understand how to translate the practice word problem into an equation and solve in it one step.

### 8. Abstract Algebraic Examples and Going from a Graph to a Rule

Abstract algebraic concepts are often difficult to understand because they do not include many numbers but are mostly variables and letters. Learn more about abstract algebraic concepts, finding the equation on a graph, identifying graphs by appearance, and finding the greatest slope on a graph.

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### Other Chapters

Other chapters within the NES Essential Academic Skills Mathematics Subtest 3 (003): Practice & Study Guide course

- About the NES Test
- NES Essential Academic Skills Math: Decimals
- NES Essential Academic Skills Math: Fractions
- NES Essential Academic Skills Math: Estimating & Rounding
- NES Essential Academic Skills Math: Percent Notation
- NES Essential Academic Skills Math: Computing Integers
- NES Essential Academic Skills Math: Rates & Ratios
- Understanding Mathematical Problems
- Types of Numbers & Number Theory
- Basics of Numerical Functions
- NES Essential Academic Skills Math: Graphing Functions
- NES Essential Academic Skills Math: Quadratic Equations
- NES Essential Academic Skills Math: Inequalities
- Exponentiation & Rational Numbers
- NES Essential Academic Skills Math: Piecewise Functions
- NES Essential Academic Skills Math: Measurement
- NES Essential Academic Skills Math: Perimeter & Area
- NES Essential Academic Skills Math: Geometric Figures
- NES Essential Academic Skills Math: Types of Angles
- NES Essential Academic Skills Math: Triangles
- NES Essential Academic Skills Math: Quadrilaterals
- NES Essential Academic Skills Math: Circles & Arcs
- NES Essential Academic Skills Math: 3D Shapes & Geometric Solids
- Geometric Transformation & Symmetry
- NES Essential Academic Skills Math: Triangle Theorems & Proofs
- NES Essential Academic Skills Math: Similar Polygons
- NES Essential Academic Skills Math: The Pythagorean Theorem
- NES Essential Academic Skills Math: Graphing Coordinates
- NES Essential Academic Skills Math: Trigonometric Functions
- NES Essential Academic Skills Math: Continuity
- Understanding Statistics
- NES Essential Academic Skills Math: Probability
- NES Essential Academic Skills Math: Discrete Math
- NES Essential Academic Skills Mathematics Subtest 3 Flashcards