Modeling with Rational Functions — Unit test Answers

Naomi wants to take yoga classes. She can take classes at the high school for a one-time fee of $20 plus $10 per class. She can join the local gym for $50 and take classes for $5 per class. Which statement is true about the average cost for the two options?

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

Solve for in the equation .

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Which point shows the location of 5 – 2i on the complex plane below?

What are the values of x in the equation x2 – 6x + 9 = 25?

If the discriminant of a quadratic equation is 4, which statement describes the roots?

Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown.In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

Which statements are true about the unknown side length in this right triangle? Check all that apply.

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.