In these worksheets, students will learn to solve linear quadratic systems for the solution set.

#### The equation of a line is called a linear equation. The equation of a parabola is called a quadratic equation; a quadratic equation has at least one variable squared. Together, the two equations form a System. In these worksheets, students will learn how to solve linear quadratic systems algebraically to find the solution set. Students may find that they need extra paper to have enough room for their work. Answers may be both positive and negative numbers. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, ample problems for independent practice, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve linear quadratic systems algebraically.

We all know what linear systems are, where the highest power in the equation is 1, and what quadratic systems are, ones where the highest power is 2. Linear systems appear as straight lines on a graph, and quadratic systems form a parabolic curve on the graph. That is everything that we know, but what about linear-quadratic systems? What do we know about these? Well, linear-quadratic systems are those which contain one linear equation and one quadratic equation. There are three possible situations when you graph a linear-quadratic system. The first is when a linear graph intersects the parabola of a quadratic equation at two points. This gives two solutions. The second one is where the linear line is tangent to the parabola. This system has one solution. The third situation is when the linear line and the parabola never meet, and this type of system has no solution. These worksheets explain how to work with linear quadratic systems. Sample problems are solved and practice problems are provided.

### Get Free Worksheets In Your Inbox!

#### Click the buttons to print each worksheet and answer key.

We work with substituting the value of x in a quadratic equation. Then we substitute the values of y in linear equation. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will solve linear quadratic systems for the solution set. Ten problems are provided.

## Practice

You will get another practice series with creating a solution set. Ten problems are provided.

## Review

The concept of how to complete these types of exercises for the solution set is reviewed. A sample problem is solved and six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with the skills that we have worked on. Ten problems are provided.

## Check

This is a great sheet to use a form of class review or introduction. Three problems are provided, and space is included for students to copy the correct answer when given.

## Lesson

This worksheet focus on the algebraically approach to these types of exercises. A sample problem is solved, and two practice problems are provided.

## Worksheet

We focus on the algebraical approach some more on this sheet. Ten problems are provided.

## Solve Linear Quadratic Systems Algebraically Practice

More practice on how to tackle quadratic systems. Ten problems are provided.

## Review

The concept of how to solve these systems algebraically is reviewed. A sample problem is solved and six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with this series of skills. Ten problems are provided.

## Check

A great way to review or introduce these skills and concepts. Three problems are provided, and space is included for students to copy the correct answer when given.