# Ch 28: CUNY Assessment Test in Math: Systems of Equations

### About This Chapter

## CUNY Assessment Test in Math: Systems of Equations - Chapter Summary

Use the lessons in this chapter of our study guide to refresh your understanding of the steps necessary to solve various types of systems of equations. Our videos will help you answer CUNY Assessment Test in Math questions on topics including:

- How to solve systems of linear equations in two or three variables
- Ways to solve systems of linear equations in three variables with no or infinite solutions
- How to write the augmented matrix for a linear system
- How to solve systems of linear equations in two or three variables using determinants
- How to solve systems of nonlinear equations in two variables

These lessons average about five minutes in length, and you can watch them anywhere you have access to the Internet by using a computer, smartphone or tablet. Lesson quizzes and a chapter exam let you assess your learning, and you can use the links in the clickable Timeline to jump back to specific parts of the lessons to review them. If you have questions, contact our instructors through the ask-an-expert message board.

### CUNY Assessment Test in Math: Systems of Equations Objectives

All CUNY students must take this assessment test to evaluate their math knowledge and determine class placement. The test has four sections; questions on systems of equations are in the section on algebra. All assessment test questions are multiple-choice, and the test is computer-delivered. Answering the questions on our lesson quizzes will give you good experience taking a test in this format and also provide information on where you might need more study.

### 1. 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.

### 2. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

### 3. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

### 4. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.

### 5. Solving Systems of Linear Equations in Two Variables Using Determinants

Watch this video lesson to learn how you can easily find the solution of a linear system in two variables by just using determinants. All you need to find the complete solution is to find three determinants.

### 6. Solving Systems of Linear Equations in Three Variables Using Determinants

Watch this video lesson to learn how to use Cramer's rule to help you find your solutions by finding just four determinants. Learn the numbers to use for your determinants.

### 7. Solving Systems of Nonlinear Equations in Two Variables

In this lesson, we will take a look at how to solve non-linear systems of equations in two variables by exploring two solving techniques for these types of systems - graphing and substitution.

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### Other Chapters

Other chapters within the CUNY Assessment Test in Math: Practice & Study Guide course

- CUNY Assessment Test in Math: Basic Arithmetic Operations
- CUNY Assessment Test in Math: Properties of Numbers
- CUNY Assessment Test in Math: Number Theory
- CUNY Assessment Test in Math: Factoring
- CUNY Assessment Test in Math: Estimating & Rounding
- CUNY Assessment Test in Math: Whole Numbers
- CUNY Assessment Test in Math: Negative Numbers
- CUNY Assessment Test in Math: Integers
- CUNY Assessment Test in Math: Introduction to Decimals
- CUNY Assessment Test in Math: Operations with Decimals
- CUNY Assessment Test in Math: Introduction to Fractions
- CUNY Assessment Test in Math: Operations with Fractions
- CUNY Assessment Test in Math: Percents
- CUNY Assessment Test in Math: Ratios & Proportions
- CUNY Assessment Test in Math: Averages
- CUNY Assessment Test in Math: Probability
- CUNY Assessment Test in Math: Logic
- CUNY Assessment Test in Math: Matrix Operations & Determinants
- CUNY Assessment Test in Math: Exponents & Exponential Expressions
- CUNY Assessment Test in Math: Algebraic Expressions
- CUNY Assessment Test in Math: Linear Equations
- CUNY Assessment Test in Math: Inequalities
- CUNY Assessment Test in Math: Absolute Value
- CUNY Assessment Test in Math: Quadratic Equations
- CUNY Assessment Test in Math: Polynomials
- CUNY Assessment Test in Math: Rational Expressions
- CUNY Assessment Test in Math: Radical Expressions
- CUNY Assessment Test in Math: Complex Numbers
- CUNY Assessment Test in Math: Functions
- CUNY Assessment Test in Math: Analytical Geometry
- CUNY Assessment Test in Math: Sequences & Series
- CUNY Assessment Test in Math: Using Trigonometric Functions
- CUNY Assessment Test in Math: Trigonometric Graphs
- CUNY Assessment Test in Math: Solving Trigonometric Equations
- CUNY Assessment Test in Math: Trigonometric Identities
- CUNY Assessment Test in Math Flashcards