Copyright

Ch 7: NYSTCE Mathematics: Solving Algebraic Equations

About This Chapter

Refresh your understanding of how to solve algebraic equations in this chapter of the NYSTCE Mathematics exam study guide. These video lessons will address different approaches you may need to utilize on the exam.

NYSTCE Mathematics: Solving Algebraic Equations - Chapter Summary

As part of your preparations for the NYSTCE Mathematics exam, this chapter will help you explore equations with inequalities, common algebraic equations, and techniques for solving equations using the addition principle. The lessons will also discuss the multiplication principle, like terms, and solving equations containing parentheses. Additionally, once you finish this chapter, you should be familiar with:

  • Solving word problems with one-step algebra equations
  • The order for solving equations with multiple steps
  • Multi-step algebra equations in word problems
  • Solving linear inequalities

Our knowledgeable instructors walk you through each lesson using short videos. You may use each lesson's self-assessment quiz to check your knowledge, or you may print them as worksheets to help you study.

11 Lessons in Chapter 7: NYSTCE Mathematics: Solving Algebraic Equations
Test your knowledge with a 30-question chapter practice test
Writing Equations with Inequalities: Open Sentences and True/False Statements

1. 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.

Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

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.

Solving Equations Using the Addition Principle

3. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

Solving Equations Using the Multiplication Principle

4. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

Solving Equations Using Both Addition and Multiplication Principles

5. Solving Equations Using Both Addition and Multiplication Principles

Most times in algebra, to solve for your variable, you will need to perform more than one operation to get your answer. Watch this video lesson to learn the proper steps to take to solve these equations.

Collecting Like Terms On One Side of an Equation

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.

Solving Equations Containing Parentheses

7. Solving Equations Containing Parentheses

When we have parentheses in our equations it changes the way we solve them. Now we have an added step to do to remove those parentheses. Watch this video lesson to learn how it is done.

How to Solve One-Step Algebra Equations in Word Problems

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

Word problems may be considered the most evil math invention ever, but never fear! Just watch this video lesson and you will know how to methodically translate these word problems into simple math and then to solve it.

How to Solve Equations with Multiple Steps

9. 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.

How to Solve Multi-Step Algebra Equations in Word Problems

10. How to Solve Multi-Step Algebra Equations in Word Problems

After watching this video lesson, you will be able to solve word problems like a pro. Learn how to setup your problem, write your equations and then solve your equations to find your answer.

Solving Linear Inequalities: Practice Problems

11. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the NYSTCE Mathematics (004): Practice & Study Guide course

Support