Algebra Questions

1) A scuba driver at sea level descends 80 feet, rises 25 feet, descends 12 feet, and then rises 52 feet where he will do a safety stop for five minutes before surfacing. At what depth did he do his safety stop?

For questions #2 and #3, please assume the following when solving the following expressions:

a = 3
b = -5
x = 6
y = 1/2
z = -8

2) a(b + z)^2

3) 5xy divided by 2b

For questions #4 and #5, simplify the following expressions by combining like terms.

4) 64+5(n-8) + 12n – 24

5) 2x-x(5+y) + 3xy + 4(2x – y)

For questions #6 and #7, solve the following equations.

6) A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus.

7) In order to earn $1,000 in interest over 2 years at an annual rate of 4%, how much principal must be put into a savings account?

For questions #8, graph the following equation using the slope and y-intercept method.

8) 0.1x = 0.7y + 1.4

For questions #9 and #10, solve the following inequalities.

9) -7(x + 2) < -5x

10) -5[9 + (x &#8211; 4)] >= 2(13 &#8211; x)

For questions #11, examine the graph given in the attachment.

11) a) What is the slope?
b) What is the y-intercept?
c) Write out the inequality

For question #12 and #13, find the solutions for the following system by graphing the equations and inequalities.

12) 6y = 9(x &#8211; 6)
3(2y + 5x) = -6

13) y > 7/4(4 &#8211; x)
3(y + 5) > 7x

For question #14, use the elimination method to solve for the following system.

14) 3x + y = 20
x/3 + 10 = y

For question #15, use the substitution method to solve for the following system.

15) x + 5y = 10
x &#8211; 3 = 2y