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Solutions to Finite Test - Finite Mathematics | MATH 1630, Exams of Mathematics

Material Type: Exam; Professor: Lamb; Class: MATH 1630: If high school precalculus and ACT math of at least 21 contact 694-6450.; Subject: Mathematics; University: Pellissippi State Technical Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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Finite Mathematics Test
#I
covering
Ch.
1
-
4
Name:
Please atiacli all arrswers arrd work or1 otlrerpaper. Orrly write your rtartre or1 tltis slreei. Work probler~rs irr order.
1.
Find the expressions for the Revenue, Cost, and Profit from selling x thousand items given:
2.
Factor completely:
8
1x4
-
16
Single Item Price
$9.25
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?
'
Fixed Cost
$80.000
5. Use the quadratic formula to solve the equation. Give
BOTH
exact and approximate answers.
3m2+20m+5=0
Variable Cost
4150x
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
+
3.51
5
7.5
10. The profit made when t units are sold is given by
P(t)
=
t2
-
103t
+
1596.
Determine the number of units
that must be sold to break even.
1 1.
Find
f
(x
+
h)
-
f
(x)
for
f(x)=x2 -x+3.
h
12. At
a
manufacturing plant, the total cost (in dollars) to produce
x
items is
C(x)
=
5.19~
+
25,000
a.
Determine the average per item if 20,000 items are produced.
b. What is the marginal cost per item?
pf3
pf4

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Finite Mathematics Test # I covering Ch. 1 - 4 Name:

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:

2. Factor completely: 8 1x4 - 16

Single Item Price $9.

3. Simplify the complex fraction: 4r+

4r+

  1. Rachel just received a 13% raise at work. She will be earning $13 per hour now. What was her hourly rate before the raise? '

Fixed Cost $80.

5. Use the quadratic formula to solve the equation. Give BOTH exact and approximate answers.

3m2+20m+5=

Variable Cost 4150x

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 -.

  1. 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 + 3.51 5 7.

10. The profit made when t units are sold is given by P ( t ) = t2 - 103t + 1596. Determine the number of units

that must be sold to break even.

11. Find f^ ( x^ +^ h )^ -^ f^ ( x )^ for f ( x ) = x 2- x + 3.

h

12. At a manufacturing plant, the total cost (in dollars) to produce x items is C ( x ) = 5. 1 9 ~ + 25,

a. Determine the average per item if 20,000 items are produced.

b. What is the marginal cost per item?

4x2 -3x+

15. Determine the horizontal and vertical asymptotes of g ( x ) =

x2 + 4 x + 4

  1. Convert logs 625 = 4 to exponential forni.
  2. Convert 35 = 243 to logarithmic form.

18. Condense to a single logarithm: 5 in x2 + 2 1n(x + 4 ) - 4111 x

19. Solve: log, ( 2 x - 3 ) = 4

  1. Solve: 23'-2 = 7

What is the equation for the parabola given?

14. Graph the polynon~ialfunction h(x) = .x(x + 3)(x - 2)2 (x - 5 ).