Quadratic Equations Word Problems
These lessons, with videos, examples, and step-by-step solutions, help Algebra 1 students learn to solve geometry word problems using quadratic equations.
Related Pages
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
More Lessons for Grade 9
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 m2 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 - 6P2
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) = .046s2 - .199s + 0.264
If the length of skid mark is 220 ft, find the speed in miles per hour the car was traveling.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.