About This Chapter
Algebra Foundations - Chapter Summary
This chapter was made to provide you with a review of the fundamentals of algebra. It includes lessons about algebraic expressions, including both equations and inequities. Some of the more specific topics covered in this chapter include:
- Using algebraic expressions to express relationships
- Solving problems with polynomials and binomials
- Writing and solving inequalities
- Using linear equations to solve problems
- Factoring quadratic equations
- Solving systems of equations
- Systems of equations with two variables
Following your completion of each lesson, be sure to complete the lesson's quiz to find out how well you understand the material. Then use the results of these assessments to find out what topics you may want to study further. At the end of the chapter, you will have an additional chance to test your understanding by taking the practice chapter exam.
1. Expressing Relationships as Algebraic Expressions
What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.
2. How to Add, Subtract and Multiply Polynomials
Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!
3. Binomial: Definition & Examples
Binomial is a little term for a unique mathematical expression. Learn what makes binomials so special, how to easily identify them, and the mathematical operations that can be performed on them. After the lesson, test yourself with a quiz.
4. Writing Equations with Inequalities: Open Sentences and True/False Statements
After watching this video lesson you will be able to write open sentences and true or false statements that use inequalities. You will also be able to solve and/or determine whether a particular inequality is true or false.
5. Problem solving using Linear Equations
From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.
6. Write the Standard Form of an Equation by Completing the Square
In math, we have a process called completing the square where you take your quadratic equation and rewrite it to make it easier to solve. Watch this video lesson to learn how you can do this process easily yourself.
7. How to Solve a Quadratic Equation by Factoring
If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!
8. 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.
9. How to Solve a System of Linear Equations in Two Variables
Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.
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Other chapters within the NYSTCE CST Multi-Subject - Teachers of Middle Childhood (231/232/245): Practice & Study Guide course
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- Foundations of Teaching English Language Arts
- Strategies for Vocabulary Instruction
- Language Knowledge & Vocabulary
- Teaching Text Complexity & Comprehension
- Literary Devices & Meaning
- Evaluating Informational Texts
- Writing & Research Instruction
- Promoting Literacy Through Listening
- Language Arts Assessments in Early Childhood
- Rational & Real Number Systems
- Numbers & Operations
- Ratios & Proportional Number Relationships
- Algebra Functions & Graphs
- Geometry & Measurement
- Solving Geometry Problems
- Data, Statistics & Graphs
- Math Instruction & Assessment
- Scientific Inquiry & Investigation
- Physical Science Basics
- Scientific Concepts for the Living Environment
- Science Modeling & Technology
- Major U.S. Historical Eras
- Role of New York in Shaping the U.S.
- Geography, Population & Climate
- Human Population Distribution Patterns
- Relationship Between Economics, Government & Politics
- Rights & Responsibilities of Citizenship in the U.S.
- Social Studies Research Skills
- Visual Arts Techniques
- Musical Arts Basics
- Performing Arts Overview
- Health, Safety & Community Awareness
- Physical Development & Activities in Early Childhood
- Childhood Development
- Consumer Economics & Personal Resource Management
- Career Development Resources
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