Math 41

Question 1:

Three pieces of string, each 2.8 inches long, are cut from the end of a string that is 80 inches long. How many inches of string are left?

Question 2:

The lengths of the sides of a triangle are 3, 5, and 12 inches. How many inches long is the shortest side of a similar triangle that has a perimeter of 60 inches?

Question 3:

A triangle has sides of length 2.5 inches and 5 inches. Which of the following CANNOT be the length of the third side, in inches?

Question 4:

In the (x,y) coordinate plane, what is the y-intercept of the line 3x – y = 3?

Question 5:

For what value of “a” would this system of equations have an infinite number of solutions?

Question 6:

If A, B, and C are real numbers, and ABC = 2, which of the following conditions must be true?

Question 7:

Aaron wants to participate in a hot dog eating contest, so he creates a schedule for himself. In this schedule, Aaron increases the total hotdogs he eats each day by a constant amount every week. If Aaron’s training schedule requires him to eat 8 hot dogs a day by week 5, and 28 hot dogs a day by week 17, which of the following best describes how the total number of hot dogs Aaron must eat per day between week 5 and week 16?

Question 8:

If 8h – 3 > 1, what is the least possible value of 8h + 3?