Math 38

Question 1:

If x = -2, then 12 – 2(x + 1) = ?

Question 2:

Which of the following is a factored form of 4x²y + 4xy²

Question 3:

In the right triangle below, how long is side AB?

Question 4:

A square room is expanded by increasing the length by 1 meter and increasing the width by 3 meters. If each side of the original room is x meters long, what is the area of the expanded room, in square meters?

Question 5:

The equation of x² – 12x + k = 0 has only one solution for x. What is the value of k?

Question 6:

What is the smallest positive value for x where the graph of y = sin(x/2) reaches its maximum?

Question 7:

Tickets for the town play cost 5 dollars, but if you are a senior citizen, you can get a 3 dollar discount. If Jose is buying tickets for the nursing home he works for,  and buys a ticket for himself and another supervisor, how many senior citizen tickets could Jose have possibly bought it he spent less than 25 dollars and more than 18?

Question 8:

In the system of equations below, c is a constant and x and y are variables. For what value of c will the system of equations have no solution?

cx – 2y = 5

6x – 7y = 8