# MATH 120 Exam 1 Information

**1.** Be able to nd x and y-intercepts from a graph.

**2.** Be able to perform operations with complex numbers such as:

(or subtraction) | |

**3.** Solve equations such as

**4.** Solve inequalities such as (expressing answer in interval notation)

**5.** Be able to solve word problems such as

•ACME Widgets makes high quality industrial widgets. The widgets are sold for $2

each. The company has fixed costs of $10,000. In addition, to make each widget, it

costs the company 50 cents. How many widgets must the company make and sell to

earn a pro t of $20,000? (a) Let x denote the number of widgets the company
makes.

Write an expression for the total cost (in dollars) of producing x widgets. (b)
Similarly,

write an expression for the revenue (in dollars) obtained by selling x widgets.
(c) Write

an equation (in terms of x) which represents the desired pro t (in dollars). (d)
Solve

the equation. (e) Answer the question.

•The value in dollars of an investment t years after the initial investment is M
=

5t^{2} - 10t + 1000. After how many years is the value of the investment $3000?

•A rectangular pen has length that is twice four feet more than the width. If the

perimeter is 80 feet, what are the dimensions of the pen? Solve by algebra,
showing

all details similar to the example above.

**6.** There will be a few short answer, true/false type questions on topics from
Chapter 1. For

example, something like the following:

•Which quadrant does the point (-3, 4) lie in?

•Which axis does the point (0, 3) lie on?

•True or false: 7 is complex number.

•Express as a complex number.

•Give an example of linear equation.

•Give an example of an equation that has no real solutions.

Note. Those are just examples to suggest the nature of the questions. The
content might

come from anywhere.

**7.** General suggestions: Go over the online and paper homeworks, especially
problems you

had difficulty with. If you like the online system, under the "Tests" category,
there are

pre-made chapter tests for Chapter 1 which you might want to try. You can also
use the

Study plan which will generate sample problems for you for each section.

**8.** Details: The exam is worth 100 points. There will be 12 to 16 questions worth
varying

amounts of credit. E.g., some more involved problems will be worth more. No
notes or books

are allowed. You may have a calculator.