Finite Mathematics Practice Test #1 covering Ch. 1 – 4 Name:
Please attach all answers and work on other paper. Only write your name on this sheet. Work problems in order.
1. Find the expressions for the Revenue, Cost, and Profit from selling x thousand items given:
Single Item Price Fixed Cost Variable Cost
$8.00 $71,174 3816x
2. Factor completely: 2
49 36
x
−
3. Simplify the complex fraction:
4
13
4
4
13
4
+
−
−
−
r
r
4. Rachel just received a 6% raise at work. She will be earning $11.66 per hour now. What was her hourly rate
before the raise?
5. Use the quadratic formula to solve the equation. Give BOTH exact and approximate answers.
06125 2=++ mm
6. Find the x and y intercepts of the graph of the equation: -2x + y = 2
7. Find the equation of a line passing through (0, 4) and having a slope of 7
6.
x 2 4 5 6
y7111320
8. Find the linear regression equation for the following:
9. Show the solution to the following inequality with interval notation and on a number line. 35.2 <−r
10. The profit made when t units are sold is given by . Determine the number of units
that must be sold to break even.
2
( ) 36 323Pt t t=− +
11. Find ()()
f
xh fx
h
+− for 2
() 6 9
f
xx=− .
12. At a manufacturing plant, the total cost (in dollars) to produce x items is Cx ( ) 5.54 33,000x=+
a. Determine the average per item if 100,000 items are produced.
b. What is the marginal cost per item?
