Math 50

Question 1:

If (3x)/4 + 4 = 2, then x = ?

Question 2:

All 20 students in a history class took 2 tests. Of these students, 18 passed the first test and 15 passed the second test. What is the maximum possible number of students who passed both tests?

Question 3:

Ozzie has a rectangular garden in his backyard that is 14 feet by 10 feet. He is preparing to put fencing along the edge of the garden. However, one long side of the garden is along his house, so he will only need to fence 3 sides. How many feet of fencing will Ozzie need?

Question 4:

In the figure, line q is parallel to line r, C is the center of the circle, AE and BD both go through C, q is tangent to the circle at B, F lies on line AD, and the measure of angle FAC is 155º. What is the measure of angle BCE?

Question 5:

A biologist took a sample of n cells from a cell culture and found that m of the cells were mutant. Which of the following is a general expression for the fraction of the cell culture that was NOT mutant?

Question 6:

If n! / (n-2)! = 12, then (n-1)! = ?

Question 7:

In the equation below, what is the value of x if y is equal to 9?

y = (2/3)x + 9

Question 8:

If (e⁶)(e^x) = (e⁴)³, what is the value of x?