Solving Linear-Quadratic Systems Answers

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 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 consecutive positive integers is 812. What is the value of the lesser integer?

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.

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

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.

The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, with x representing the value of the lesser number, is x(2x) = 1,800.

The product of two numbers is 240. The first number is 8 less than the second number. Which equation can be used to find x, the lesser 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.