Lesson: Applications of Quadratic Equations Mathematics

In this lesson, we will learn how to solve word problems by forming and solving quadratic equations.

Lesson Plan

Objectives

Students will be able to

write a quadratic equation to represent a word problem,
solve real-world problems using quadratic equations.

Prerequisites

Students should already be familiar with

writing quadratic equations,
solving quadratic equations by factoring,
solving quadratic equations using the quadratic formula,
solving quadratic equations by completing the square.

Lesson Video

Lesson Explainer

Sample Question Videos

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03:31
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Lesson Worksheet

Q1:

The length of a rectangle is 2 cm more than its width. If its area is 80 cm², what are its length and width?

Q2:

The side length of a square is cm, and the dimensions of a rectangle are cm and 2 cm. Given that the sum of their areas is 8 cm², determine the perimeter of the square.

Q3:

A rectangular photograph measuring 6 cm by 4 cm is to be displayed in a card mount in a rectangular frame, as shown in the diagram.

Which of the following equations can be used to find if the area of the mount is 64 cm²?