Name:
Finite Mathematics Test #I covering Ch. 1 - 4
Please atiacli all arrswers arrd work or1 otlrerpaper. Orrly write your rtartre or1 tltis slreei. Work probler~rsirr order.
1. Find the expressions for the Revenue, Cost, and Profit from selling x thousand items given:
Variable Cost
Fixed Cost
Single Item Price
$80.000
4150x
$9.25
2. Factor completely:
8 1x4- 16
3. Simplify the complex fraction: 4r+1
1
+3
4r+1
4. Rachel just received a 13% raise at work. She will be earning $13 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.
3m2+20m+5=0
6 . Find the x and y intercepts of the graph of the equation: 5x - 3y = 10
4
7. Find the equation of a line passing through (7,2) and having a slope of - .
3
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. Ir
10. The profit made when t units are sold is given by
that must be sold to break even.
11. Find
f( x + h )- f
h
+ 3.51 5 7.5
P(t) = t2 - 103t + 1596. Determine the number of units
( x ) for f ( x ) = x 2- x + 3 .
12. At a manufacturing plant, the total cost (in dollars) to produce x items is
a. Determine the average per item if 20,000 items are produced.
b. What is the marginal cost per item?
C ( x )= 5 . 1 9 ~+ 25,000
13.
What is the equation for the parabola given?
14. Graph the polynon~ialfunction
h(x)= .x(x + 3)(x- 2)2(x - 5 ) .
15. Determine the horizontal and vertical asymptotes of g ( x ) =
4x2 -3x+8
x2 + 4 x + 4
16. Convert logs 625 = 4 to exponential forni.
17. Convert
35 = 243 to logarithmic form.
18. Condense to a single logarithm: 5 in x2
19. Solve: log, ( 2 x - 3 ) = 4
20. Solve: 23'-2= 7
+ 2 1n(x + 4 ) - 4111x3