About This Chapter
Creating Equations, Inequalities & Expressions - Chapter Summary
To solve algebraic equations, you will need to remember how to build and recognize equations, inequalities, and expressions. This chapter can help you brush up on this process by showing you these key math concepts from the ground up. Each lesson goes through terminology and shows you step-by-step examples. After you complete this chapter, you should be able to do the following:
- Differentiate polynomial, quadratic, linear, and other algebraic equations
- Offer examples of single and multi-variable inequalities and equations
- Establish a system of equations
- Review how to solve problems with mathematical models
- Show techniques for interpreting equations found in word problems
- Determine how to write equivalent expressions
One way to measure how well you understand this topic is by using our self-assessment process. We offer you both lesson quizzes and a chapter exam. These assessment tools can be used to verify your knowledge of definitions, concept applications, mathematical formulas, and more. Lesson quizzes are available at any time, and some users like to take the quizzes before and after they review a lesson as a way to evaluate their progress. Or, by taking the assessments first, individuals can plan their study schedule based on their quiz scores and actual study needs.
1. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.
2. How to Create One-Variable Equations & Inequalities
This lesson will discuss one-variable equations and inequalities. We will look at various examples in which we will create one-variable equations and inequalities to represent a given real-world scenario and solve these problems.
3. How to Create Two-Variable Equations & Inequalities
This lesson will provide instruction on creating equations in two or more variables in order represent relationships between quantities, then graph the equations on coordinate axes with labels and scales.
4. What is a System of Equations?
So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.
5. Using Mathematical Models to Solve Problems
Mathematical modeling simply refers to the creation of mathematical formulas to represent a real world problem in mathematical terms. This lesson reviews the creation and pitfalls of mathematical models.
6. Interpreting Equations in Word Problems
Word problems are notoriously tricky. They don't need to be! This lesson will help you learn how to analyze word problems to ensure correct solutions are found.
7. Writing Equivalent Expressions: Definition & Examples
In this lesson, you'll learn what an algebraic expression is and what makes two algebraic expressions equivalent. You'll also see some examples of equivalent expressions.
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Other chapters within the NY Regents Exam - Algebra I: Test Prep & Practice course
- Algebraic Units & Modeling
- Structure of Mathematical Expressions
- Polynomial Operations Basics
- Solving & Graphing Equations & Inequalities
- Understanding Data Using Statistics
- Interpreting Linear Models
- Understanding Functions
- Interpreting, Analyzing & Graphing Functions
- Building Linear & Exponential Functions
- Basics of Rational & Irrational Numbers
- Quadratic & Polynomial Equations
- About the NY Regents Examinations
- NY Regents Exam - Algebra I Flashcards