Prentice Hall Algebra 1

9-8 Systems of Linear and Quadratic Equations

Objective

To solve systems of linear and quadratic equations

Solve it: Tyler says, “Hey, look at that! Two equations with two unknowns. It looks like a system.
Image Long Description

Essential Understanding You can solve systems of linear and quadratic equations graphically and algebraically. This type of system can have two solutions, one solution, or no solutions.

A graph consists of an upward-opening parabola with its vertex at approximately (0, 0) and a line that rises through approximately (negative 3, 0) and (1, 1). They intersect at approximately (negative .9, .8) and (1, 1).

Two solutions

A graph consists of an upward-opening parabola with its vertex at approximately (0, 1) and a horizontal line at approximately y = 1. They intersect at approximately (0, 1).

One solution

A graph consists of an upward-opening parabola with its vertex at approximately (0, 0) and a line that falls through approximately (negative 2, 1) and (negative 1, 0). They do not intersect.

No solutions


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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments