MA171 Park University Mathematics Inequalities Midterm Exam Please see the attached. Please show ALL of your work for each problem. This is a midterm exam

MA171 Park University Mathematics Inequalities Midterm Exam Please see the attached. Please show ALL of your work for each problem. This is a midterm exam study guide, I need all the work for each problem so that I can learn easier. Thank you. MA171- Midterm
Name: ____________________________
Note: Page 1 is worth 70 points. Page 2 is worth 30 points.
All answers must be in the box or on the graph or in the space provided…don’t make me search for it!
1. Given a = 2, b = 3, c = 4, solve these expressions:
a. 2a + 2b + 4(a + c)
2a
cb
+
c
bc
2
c. a(2 + a) + 3c – b(-a)
b.
2. Find all values that make the inequalities true:
a. x + 3 > 4
b. 3 < x - 2 < 6 c. 4 < 2 – x d. x2 > 4
3. What is the slope of the line passing through the points (2, 6) and (4, 10)?
4. Graph and estimate the break-even point (BEP) for the following equations.
Cost = 2x + 65
and
Revenue = 5.5x
estimate = (
Bonus: Actual BEP = (
,
,
)
5. Given the functional equations, f(x) = 2x + 8, g(x,y) = 2x + 3y + 4, and h(t) = t2 – 4 :
a. f(2) =
6. Given,
a. A * B
b. g(2,4) =
A=
1 2
2 2
B=
c. h(4) =
1 3
3 2
b. B * C
7. Given the following equations:
a. Put into Matrix Notation Ax = B
d. g(f(2),h(4)) =
5
C= 2
c. 2[A + B]
2×1 + 3×2 = 26
5×1 – 5×2 = 15
D=
d. D * C
1 4
e. D * A
b. If A-1 =
.2 .12
.2 -.08
What are the values of x1 and x2 ?
=
x1 =
x2 =
)
Word Problems (you must show all of your work to get full credit):
1. Sheer Elegance adds a mark-up of 35% on dresses. If the sticker price reads $142.00: What was their
original cost for the dress?
2. I rolled $10,000 of my IRA into a CD at a rate of 6% (compounded annually). Then, I placed $10,000
from my wife’s IRA into an account that guaranteed 5.8% (computed continuously). After 12 years, what is
the difference between the two accounts?
My Account =__________
Difference = __________
3. Peter is a conspiracy theory nut! So, just to get him spun up, someone told him his co-worker Mary
(who has been there two year longer than Peter) gets paid twice as much as he does minus $22,000.
Peter is now ranting and raving and wants to charge his company with reverse discrimination.
a. If Peter makes $23,000 a year: What is Mary getting paid?
b. Does Peter have a reason to be upset? Why?
4. I have 19 coins (nickels and dimes) in my pocket that total $1.15. How many of each do I have?
nickels _____ dimes _______
5. My wife came back from a union meeting and claimed a financial planner informed the group that a
contribution of $50 per month, into an annuity at 7% compounded yearly, would be worth over $40,000
in 20 years. Using the Rule of 72, I did a quick mental check and got a figure that was a bit more than
half that amount: So, I told her the claim was bogus. Not willing to take my word for it, she copped an
attitude and got the broacher to PROVE I was wrong.
What would the annuity be worth?
Did I get an apology?

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