1. In Mrs. Hartley's foreign language class, students must take both a written exam and an oral exam. In the past, 85% of her students passed the written exam and 70% of those who passed the written exam also passed the oral exam. Based on these figures, about how many students in a random group of 100 students would you expect to pass both exams?
2. If sin , then which of the following could be tan A?
3. If x is any number other than 3 and 6, then
4.
5. Î ABC is similar to Î XYZ. AB is 5 inches long, BC is 8 inches long, and AC is 3 inches long. If the longest side of Î XYZ is 20 inches long, what is the perimeter, in inches, of Î XYZ ?
6. Sides , , and of square ABCD are broken up by points W, X, Y, and Z as shown below. If is 6 inches long, what is the area, in square inches, of the shaded region?
7. In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?
8. In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment with endpoints (-1,3) and (2,5)?
9. Maria posted a time of 37 minutes and 29 seconds for a 5-mile running course. About how many miles per hour did she average during the run?
10. For the 2 functions f(x) and g(x), tables of values are shown below. What is the value of g ( f(-1))?
11. For positive real numbers x, y, and z, which of the following expressions is equivalent to ?
12. The formula for the area of a trapezoid is , where b1 and b2 are the lengths of the two parallel sides and h is the height. Which of the following is an expression for b1?
13. The line graphed below shows the predicted gasoline use for a certain truck. Which of the following is the closest estimate of this truck's predicted rate of gasoline use, in miles per gallon?
14. The graph of y = ax2 + bx + c in the standard (x, y) coordinate plane is shown below. When y = 0, which of the following best describes the solution set for x?
15. If |x| = x + 12, then x = ?