Algebra Questions
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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 – 4)] >= 2(13 – 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 – 6)
3(2y + 5x) = -6
13) y > 7/4(4 – 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 – 3 = 2y
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