Right triangle ABC is inscribed in a circle with center D, as shown below. Segment BD is 6 inches long. How many inches long is segment DC?

The layout of a college campus is shown in the figure below. There are 5 structures that border the courtyard of the campus. The courtyard is a rectangle whose dimensions are given in feet. Which of the following values is closest to the straight line distance, in feet, between the Dorms and the Classes?

Isosceles triangle QRS is shown below with QR≅SR will be placed in the standard (x, y) coordinate plane such that QS is horizontal and the slope of QR is ¼. What is the slope of SR ?

In the figure, line a is parallel to line b, lines a and b are cut by a transversal to form angles 1 through 8, and the measure of angle 1 is 152 degrees. What is the measure of angle 8?

Points A(4, -4) and B(-8, 12) are in the standard coordinate plane. What is the length of segment AB, in coordinate units?

A circle centered at (0,0) passes through (0, 4) and (0, -4) in the standard (x, y) coordinate plane. A square is inscribed in the circle. What is the perimeter of the square?

What is the 5th term in the sequence 1, 4, 9,....?

The function f is defined by f(x) = -x² + 2x - 7 . What is the value of f(-4)?

The graph of the equation y = 4x - 1 is plotted in the standard (x, y) coordinate plane. One of the following describes how to transform this graph into the graph of y = 4x + 8 . Which one?

The original price of an item, x dollars, is discounted by 20%. A coupon of $5.00 off is applied to the discounted price. Which of the following functions gives the final price of the item for the given value of x?

One of the following tables of values represents a linear function. Which one?

Given the function f(x) = x² + 2x + 6 , what is the average rate of change of the function between x = 2 and x = 5?

Consider the graph of the parabola represented by the equation f(x) = ax² + bx + c, in the standard (x, y) coordinate plane, where a, b, and c are negative integers. Which of the following statements MUST be true about the graph of the parabola?

I. The graph crosses the x-axis.

II. The graph has a vertical line of symmetry.

III. The graph has a maximum.

Karen had 81 cups. She flipped all of the cups and permanently removed the cups that landed right side up after each flip. Let f(x) be the function that outputs the number of cups remaining after each flip, x. Once of the following statements best describes. Which one?

9 runners enter the 100 m dash. What is the possible combinations the runners can come in 1st, 2nd and 3rd place?

Which of the following lies farthest from 0 on the number line?

Given the following set {-1, 1}. For what operation(s) is the set closed?

The layout of a college campus is shown in the figure. There are 5 structures that border the courtyard of the campus. The courtyard is a rectangle whose dimensions are given in feet. Every day, a campus security agent walks from the library to each of the other structures on campus and returns to the library only after having walked to all the other structures just once. He varies the order in which he walks to each structure to shorten or lengthen his walking distance. In how many different orders can the security agent, beginning at the library, walk to each of the other structures on campus, and then return to the library?

The probability of Event A occurring is ⅖ . The probability of Event B occurring is ⅜ . The probability of both Event A and Event B occurring is 0. What is the probability of Event A OR Event B occurring?

Data was collected comparing the number of classes a student missed and their exam scores. Which of the following statements must be true about this scatterplot?

I. There is a positive association between number of classes missed and exam score.

II. There is a negative association between number of classes missed and exam score.

III. There is a roughly linear trend between number of classes missed and exam score.

There are 8 students entered in the 100 meter race at a track meet. How many different ways are possible for the runners to come in 1st, 2nd and 3rd place? (Note: There are no ties for 1st, 2nd or 3rd place.)

Jamie has 4 shirts and 2 pairs of pants. Each shirt can be worn with each pair of pants. She has to choose 1 shirt and 1 pair of pants. How many different combinations of 1 shirt and 1 pair of pants does Jennifer have to choose from?

All of Baxter's desserts were sold on July 1 to 47 different customers. Each customer bought at least 1 dessert, but no more than 3 desserts. What is the maximum number of customers who could have bought 3 desserts?

A bag contains 53 solid-colored marbles. Each marble is red, white, or blue. There are 13 white marbles and three times as many red as blue marbles. What is the total number of blue marbles in the bag?

In the standard (x, y) coordinate plane, the graph of an equation in the form y = mx + b with m > 0 is a:

In the standard (x, y) coordinate plane, which of the following ordered pairs is on the line 2x - y = 7 for all values of x?

Let a, b, and c be positive numbers such that ab = 3, bc = 6, and ac = 2. What is the value of abc?

Let m² - n² = 32. If m + n = 8, what is m - n ?

Which of the following equations has -5 and 4 as its only solutions?