Ch 8: NYSTCE Mathematics: Linear Equations

About This Chapter

The NYSTCE Mathematics exam covers linear equations. You can review concepts that relate to these types of equations by looking through this unique and effective chapter.

NYSTCE Mathematics: Linear Equations - Chapter Summary

If you look through the material in each lesson, you can improve your ability to solve linear equation problems. Our video lessons cover the following topics:

  • Proportional and linear relationships between two quantities
  • Finding and applying a slope of a line
  • Finding intercepts of a line
  • The point-slope formula
  • Rate of change and slopes
  • System of equations
  • Problem solving with linear equations and system of equations
  • Set notation and compound inequalities

Reviewing our video lessons is a great way to quickly pick up concepts and information that will be on the NYSTCE Mathematics exam. They range from 5-10 minutes, and you can utilize our lesson quizzes when you are done with them. These quizzes help you quickly assess your knowledge of linear equations before taking the actual exam.

13 Lessons in Chapter 8: NYSTCE Mathematics: Linear Equations
Test your knowledge with a 30-question chapter practice test
Model a Linear Relationship Between Two Quantities

1. Model a Linear Relationship Between Two Quantities

In this lesson, we will learn about modeling linear relationships by converting domain and range values into ordered pairs and then constructing a graph.

Proportional Relationships Between Two Quantities

2. Proportional Relationships Between Two Quantities

When two values always maintain the same ratio, forming the same fraction when you divide them, they have a proportional relationship. In this lesson, you can learn about proportional relationships between two quantities.

How to Find and Apply The Slope of a Line

3. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

How to Find and Apply the Intercepts of a Line

4. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Linear Equations: Intercepts, Standard Form and Graphing

5. 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.

Equation of a Line Using Point-Slope Formula

6. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

Slopes and Rate of Change

7. Slopes and Rate of Change

If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.

Problem solving using Linear Equations

8. 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.

What is a System of Equations?

9. 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.

How Do I Use a System of Equations?

10. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

Solving a System of Equations with Two Unknowns

11. Solving a System of Equations with Two Unknowns

When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.

Solving Problems Involving Systems of Equations

12. Solving Problems Involving Systems of Equations

Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.

Set Notation, Compound Inequalities, and Systems of Inequalities

13. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

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

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Other Chapters

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

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