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Examples, solutions, videos, worksheets, games and activities to help Algebra 1 students learn how to solve word problems that involve quadratic equations.

How to approach word problems that involve quadratic equations?
Solving word problems with quadratic equations - consecutive integer and rectangle dimensions problems.
Examples:
1. The product of two consecutive integers is 5 more than three times the larger. Find the integers.
2. The width of a rectangle is 5 feet less than its length. Find the dimensions of the rectangle if the area is 84 square feet.
How to approach word problems that involve quadratic equations.
Solving projectile problems with quadratic equations.
Example:
A projectile is launched from a tower into the air with an initial velocity of 48 feet per second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + v0t + 64
where t is the time, in seconds, since the projectile was launched and v0 is the initial velocity.
How long was the projectile in the air?
When did it reach its maximum height?

Example:
The height of a triangle is 4 times its base. The area of the triangle is 288cm2. Find the base and length of the triangle.
Learn how to solve application involving quadratic equations.
Examples:
1. One leg of a right triangle is 2 feet longer than the shorter side. If the length of the hypotenuse is 18 feet. How long is each leg?
2. Find the area of a right triangle with sides x, x+7 and x+8 inches.
3. If the height of a ball t seconds after it is thrown vertically upwards is given by h = 64t - 16t2, find when the ball will be
a) 48 ft
b) back on the ground.

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