Modeling with Quadratic Equations — Unit test Answers

Brianna is graphing the function f(x) = x2 + 6x + 5. What x-intercepts should Brianna use to graph f(x)?

Which equations are true for x = –2 and x = 2? Select two optionsx2 – 4 = 0x2 = –4 3x2 + 12 = 04x2 = 162(x – 2)2 = 0

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find the length of the rectangle?

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

A function g(x) has x-intercepts at (, 0) and (6, 0). Which could be g(x)?

What are the solutions to x2 + 8x + 7 = 0?

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

What is the solution to 2x2+8x=x2-16?

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?

For what values of x is x2-36=5x true?

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

The projectile motion of an object can be modeled usings(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

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

An equation has solutions of m = –5 and m = 9. Which could be the equation?

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.

What are the solutions to the equation 0 = x2 – x –6? Select two optionsx = –3x = –2x = 0x = 2x = 3