About This Chapter
Algebraic Thinking - Chapter Summary
This algebraic thinking chapter takes you on a journey through the vocabulary, properties, formulas, and equations that make up the field of algebra. Our fun lessons can help you express relationships in algebraic terms and translate words to algebraic expressions. By the end of this chapter you will also be able to:
- Explain and solve linear, quadratic, and polynomial equations
- Use the distributive property in algebraic expressions
- Understand independent and dependent variables in math
- Solve equations with multiple steps
- Explain how to solve two-step linear inequalities
- Discuss how to recognize and generalize patterns in math
This is not your typical algebra class! You can find engaging videos to break down the concepts and help you to quickly master the material. You can also choose to repeat or review any part of a video that challenges you with the timeline feature that takes you straight to specific concepts. You'll know how you're doing by gauging your learning with our self-check quizzes.
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. 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.
3. The Distributive Property and Algebraic Expressions
The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.
4. Independent & Dependent Variables in Math
Learn what it means for a variable to be independent or dependent. Then explore how we identify which variables are independent and which are dependent in word problems and math equations.
5. Translating Words to Algebraic Expressions
When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.
6. Understanding and Evaluating Math Formulas
With all the formulas out there, how do you know which one to pick? And how do you read formulas anyways? Watch this video lesson and you will find the answers to these questions.
7. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
8. How to Solve Equations with Multiple Steps
In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.
9. Solving Two-Step Linear Inequalities
After watching this video lesson, you will be able to solve any kind of linear inequality problem where you only have to perform two steps. You will know in what order to perform each step and you will know just what kind of operation you need to do.
10. Recognizing & Generalizing Patterns in Math
Being able to recognize patterns is one of the most important aspects of studying math, and one that has definite advantages in other fields of study. In this lesson, we'll look at how to recognize the most common patterns in math: sequences.
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