These lessons, with videos, examples, and step-by-step solutions, help Algebra 1 students learn to solve geometry word problems using quadratic equations.

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Solving Quadratic Equations by Factoring

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Math Worksheets

**Quadratic equations - Solving word problems using factoring of trinomials**

Question 1a:

Find two consecutive integers that have a product of 42

**Quadratic equations - Solving word problems using factoring of trinomials**

Question 1b:

There are three consecutive integers. The product of the two larger integers is 30. Find the three integers.

**Quadratic Equations - Solving Word problems by Factoring**

Question 1c:

A rectangular building is to be placed on a lot that measures 30 m by 40 m. The building must be placed in the lot so that the width of the lawn is the same on all four sides of the building. Local restrictions state that the building cannot occupy any more than 50% of the property. What are the dimensions of the largest building that can be built on the property?

**More Word Problems Using Quadratic Equations**

Example 1

Suppose the area of a rectangle is 114.4 m^{2} and the length is 14 m longer than the width. Find the length and width of the rectangle.

**More Word Problems Using Quadratic Equations**

Example 2

A manufacturer develops a formula to determine the demand for its product depending on the price in dollars. The formula is

D = 2,000 + 100P - 6P^{2}

where P is the price per unit, and D is the number of units in demand. At what price will the demand drop to 1000 units?

**More Word Problems Using Quadratic Equations**

Example 3

The length of a car’s skid mark in feet as a function of the car’s speed in miles per hour is given by

l(s) = .046s^{2} - .199s + 0.264

If the length of skid mark is 220 ft, find the speed in miles per hour the car was traveling.

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