Math 20

Question 1:

Which of the following is a value for x that solves the equation |x+7| = 6?

Question 2:

A high school senior went on a trip see which college would be the best fit. She traveled a total of 520 miles. If she put a total of 32 gallons of gas in her car, and used it all driving on her trip, what was the average number of miles per gallon her vehicle got on this road trip?

Question 3:

What is the perimeter of the polygon shown? Assume all angles are 90 degrees.

Question 4:

Which of the following is equivalent to (x+3)⁴?

Question 5:

Ship captains use 7 different colored flags to send messages to other ships at sea. The order of the flags determine the message sent to the other boat. How many different messages can be sent if the flagpole can hold 4 flags at a time and each message takes 4 flags?

Question 6:

A circle with a diameter of 12 is inscribed in a square KLMN, as shown. What is the area, in square inches, of the shaded region?

Question 7:

[Non-Calculator Question] Tommy needs to take a taxi to get to a friend’s house. The taxi has a flat rate of $2.50 and an additional $3.50 for every mile, m, Tommy travels. If Tommy has d dollars, which inequality shows the number of miles, m, Tommy can afford to travel?

Question 8:

[Calculator Question] In the xy-plane, the parabola with equation y = x² – 29x + 115 intersects with the equation y= -65 at two points A and B. What is the length of the line from point A to point B?