Math 29

Question 1:

Thomas is buying an mp3 player online. He can select an 8GB, 32GB, or 64GB model. Each of these models is available in any 1 of 5 different colors. Thomas can therefore choose his mp3 player from how many different combinations of models and colors?

Question 2:

The Giordano family drove 320 miles, 365 miles, and 275 miles on the 3 days of their vacation. They drove a total of 16 hours and used 24 gallons of gas. What was their average speed in miles per hour for their entire 3-day trip?

Question 3:

In the illustration, BD bisects angle CBE, the measure of angle ABD is 55º, and the measure of angle ABE is 65º. What is the measure of angle ABC?

Question 4:

When the last two digits of a number are divisible by 4, then so is the number. How many of the digits 0–9, when used as the tens digit of the above number, will make the number divisible by 4?

Question 5:

If x @ y is defined as x – 4y, then 5 @ (7 @ 1) = ?

Question 6:

If 0º ≤ xº ≤ 90º and 2 sin²x – 1/2 = 0, then x = ?

Question 7:

Which of the following functions accurately depict the graph shown?

Question 8:

Three samples of liquid of equal volume are given 1 mL of an acid with a pH of .2 every 10 minutes. The graph shows the pH of each substance at 5 minute intervals. Which of the following statements correctly compares the average rates at which the pH of the three sample substances change?