Math 39

Question 1:

If line segment AB is bisected by point C, then which of the following congruencies must hold?

Question 2:

What is the slope of any line parallel to the line 3x + 4y = 8?

Question 3:

If 2x – y = 6 and x + y = 12 what is the value of y?

Question 4:

There are 16 ounces in a pound. If 1.5 pounds of fish costs $4.32, what is the cost per ounce?

Question 5:

The dimensions of a rectangle are (x + 3) units by (x + 5) units. Which of the following expresses the remaining area of the rectangle, in square units, if a square, x units in length, is removed from the interior of the rectangle?

Question 6:

John has an empty bag and puts in 3 red marbles. He now wants to put enough green marbles so that the probability of drawing a red marble at random from the bag is 1/5. How many green marbles should he put in?

Question 7:

If the quadratic equation below, t is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex (f,g). Which of the following is equal to g?

y = t(x – 3)(x+5)

Question 8:

If x > 0, what is one possible solution to the equation below?

x³(x² – 4) = -3x