What are Linear Quadratic Equations? Mathematics is full of useful concepts that we get to apply even in our daily life. Though we might not know, these concepts really help in our daily lives. To understand the concept of the Linear Quadratic equation, let's understand its definition first. A linear-quadratic system is a system of equations involving one linear, one quadratic, which may be of a straight line or a parabola, and one equation of a circle. Have you ever seen an overhead bridge in your life? If not, then explore the streets because it is one of the perfect real-world examples of graphs of linear and quadratic functions. A bridge that moves across smoothly from one location to another represents a linear function. A Linear function is typically in the form of y = mx + b where m refers to the slope or rate of change, and b is the y-intercept, together these form a straight-line graph as the variable x has no exponent. Linear functions are like the flat bridge. A Quadratic function is typically represented as y = ax2 + bx + c. The Function will have a second power to its x variable, and it sometimes makes a parabola - a symmetrically curved graph.

• ### Basic Lesson

Demonstrates how to solve linear quadratic equations. Substitute the value of y in quadratic equation. Substitute the values of x in linear equation.

• ### Intermediate Lesson

Explores how to mass substitute in linear quadratic systems.

• ### Independent Practice 1

Contains 20 Linear Quadratic Systems problems that you must solve algebraically. The answers can be found below.

• ### Independent Practice 2

Features another 20 Linear Quadratic Systems problems.

• ### Homework Worksheet

Linear Quadratic Systems problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Linear Quadratic Systems problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### What's Up With Algebra?

Encourages abstract thinking & the ability to form generalizations Gives practice in symbolic representation - and analyze relationships symbolically Fosters reasoning - to make conjectures and gather information to prove or disprove these conjectures.