Modeling with Quadratic Equations — Unit test Answers

What is the value of ?

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2?

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan?A = lw

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

Use completing the square to solve for in the equation .

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is the area of the original square. What was the side length of the original square?A = s2

Which function is a quadratic function?

A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 + 26t +12. What is the initial height of the ball?

What is the additive identity of the complex number 14 + 5i?

What is the solution set of the quadratic inequality

Which equation represents a graph with a vertex at (–3, 2)?

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

What is the distance from the origin to point P graphed on the complex plane below?

Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation . If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?