Math 46

Question 1:

If 4x + 2 = 14 + 2x, then x = ?

Question 2:

A boat leaves a dock and sails directly north for 30 miles. It then turns and sails 40 miles east. How many miles is the boat from the dock?

Question 3:

Which of the following letters of the alphabet has at least 1 rotational symmetry but no reflectional symmetries?

Question 4:

Which of the following lists gives the largest prime numbers that are less than 50?

Question 5:

The costs of taxi rides of different lengths, given in quarter miles, are shown in the table. Each cost consists of a fixed charge and a charge per quarter mile. What is the fixed charge?

Question 6:

A baseball player has batted 240 times and has 50 hits. Starting now, if he gets a hit each time he is at bat, what is the least number of times he must be at bat to raise his batting average to at least .300? [Note: A player’s batting average is (number of hits)/(number of times at bat).]

Question 7:

How many ordered pairs (x,y) satisfy the system of equations below?

3x = y – 8

y = (3x – 4)(x + 6)

 

Question 8:

If a cake that weighs 4 pounds is cut in half, and each half is cut into fourths, at is the weight, in ounces, of each slice of cake? (1 pound = 16 ounces)