# Ch 6: Equations: NBPTS Math - Adolescence & Young Adult

### About This Chapter

## Equations: NBPTS Math - Adolescence & Young Adult - Chapter Summary

Our subject-matter experts put these short video lessons together as a refresher for you ahead of taking the NBPTS Math test. They will help you answer test questions relating to such lesson material as:

- Using the addition, subtraction, multiplication and division properties of equality
- Solving equations with multiple steps
- Being able to collect like terms on one side of an equation
- Getting a handle on solving equations with infinite or no solutions
- Finding out about intercepts, standard form and graphing of linear equations
- Learning how to write and solve a linear equation
- Seeing how to solve rational and absolute value equations

The instructors present lesson material in videos lasting 5-10 minutes. Each includes a quiz to take at the end to verify your understanding. If you need to review anything, you can use either the video transcript or the timeline tool that allows you to replay just what you need of the video. You can easily monitor your progress on the dashboard.

### 1. Addition Property of Equality: Definition & Example

After watching this video lesson, you should be able to use the addition property of equality to help you solve problems. In addition, you can learn the formula for this property.

### 2. Subtraction Property of Equality: Definition & Example

In this video lesson, we look at the subtraction property of equality. Learn how it helps you to solve problems and how it keeps equations the same. Learn what you must do to both sides of an equation.

### 3. Multiplication Property of Equality: Definition & Example

After watching this video lesson, you will learn to use the multiplication property of equality to help you solve problems in math. You will also learn the formula for this property.

### 4. Division Property of Equality: Definition & Example

In this video lesson, you will learn about the division property of equality, its formula, and how you can use it to help you solve problems where you are looking for an unknown number.

### 5. 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.

### 6. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

### 7. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

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

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 9. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

### 10. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

### 11. 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.

### 12. Writing & Evaluating Real-Life Linear Models: Process & Examples

You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.

### 13. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

### 14. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

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### Other Chapters

Other chapters within the National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

- Teaching Math: NBPTS Math - Adolescence & Young Adult
- Understanding Math: NBPTS Math - Adolescence & Young Adult
- Numbers: NBPTS Math - Adolescence & Young Adult
- Operations: NBPTS Math - Adolescence & Young Adult
- Algebraic Reasoning: NBPTS Math - Adolescence & Young Adult
- Systems of Equations: NBPTS Math - Adolescence & Young Adult
- Inequalities: NBPTS Math - Adolescence & Young Adult
- Functions: NBPTS Math - Adolescence & Young Adult
- Exponents & Exponential Functions: NBPTS Math - Adolescence & Young Adult
- Logarithmic Functions: NBPTS Math - Adolescence & Young Adult
- Rational Functions: NBPTS Math - Adolescence & Young Adult
- Quadratic Functions: NBPTS Math - Adolescence & Young Adult
- Trigonometric Functions: NBPTS Math - Adolescence & Young Adult
- Polynomials: NBPTS Math - Adolescence & Young Adult
- Series & Sequences: NBPTS Math - Adolescence & Young Adult
- Geometry Concepts: NBPTS Math - Adolescence & Young Adult
- Lines: NBPTS Math - Adolescence & Young Adult
- Angles: NBPTS Math - Adolescence & Young Adult
- Transformations: NBPTS Math - Adolescence & Young Adult
- Congruence & Similarity: NBPTS Math - Adolescence & Young Adult
- Circles: NBPTS Math - Adolescence & Young Adult
- Area & Volume: NBPTS Math - Adolescence & Young Adult
- Trigonometry: NBPTS Math - Adolescence & Young Adult
- Discrete Mathematics: NBPTS Math - Adolescence & Young Adult
- Data Analysis & Statistics: NBPTS Math - Adolescence & Young Adult
- Probability: NBPTS Math - Adolescence & Young Adult
- Calculus: NBPTS Math - Adolescence & Young Adult
- Student Development: NBPTS Math - Adolescence & Young Adult
- Practice of Teaching: NBPTS Math - Adolescence & Young Adult
- Learning Environments: NBPTS Math - Adolescence & Young Adult
- Thinking Mathematically: NBPTS Math - Adolescence & Young Adult
- Assessment: NBPTS Math - Adolescence & Young Adult
- Reflection & Growth: NBPTS Math - Adolescence & Young Adult
- Families & Communities: NBPTS Math - Adolescence & Young Adult
- Professional Community: NBPTS Math - Adolescence & Young Adult
- National Board Certification Exam - Mathematics/Adolescence & Young Adulthood Flashcards