Modeling with Quadratic Equations Answers

The product of two positive numbers is 750. The first number is 5 less than the second number. The equationx(x – 5) = 750 can be used to find x, the value of the greater number.

A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length.

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number?

The product of two consecutive integers is 342. Which quadratic equation can be used to find x, the greater number?

Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long. The height is 6 inches longer than twice the base length.

The product of two numbers is 450. The first number is half the second number. Which equation can be used to find x, the greater number?

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2.How many seconds will it take the object to reach the ground?

A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width.

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle.