# Math 100 Elementary Algebra Exam 2

**Show ALL work for credit**. Calculators, cell phones,
electronic devices, etc. are NOT allowed.

Please write answers in the space provided. ** Simplify ALL answers .** No
mixed numbers/decimal

answers unless otherwise specified. Good luck!

1) Evaluate. Do not leave an exponent in your answer .

2) Simplify. You may leave an exponent in your answer .

3) Simplify. Write with positive exponents .

4) Write in decimal notation . Write in scientific notation.

5) Perform the indicated operation. Write answer in scientific notation.

6) Combine .

7) Multiply . Find the degree of the polynomial where indicated.

8) Divide.

9) For **FULL CREDIT**, you must

1)** define the variable **

2) **SET UP** an equation/inequality and

3) ** SOLVE ** the problem.

(Start by defining the variable. For instance, “ x= number of pennies ”.)

I. Double the sum of a number and 3 is the same as 12 more than triple the same
number. Find

the original number .

Define variable: x= the number

II. Mary has $3.85 in change . She has twice as many
nickels as quarters. She has two less dimes

than she has quarters. How many of each coin does she have? (Hint: It is
incorrect to add the number

of coins then setting it equal to dollars.)

Define variable: x=

Answers:

# of nickels = ________

# of dimes = _________

# of quarters = _______

III. Peter and Shelly invested $9000 for one year. Part of
it was invested at 12% and the remainder

was invested at 7%. At the end of one year the couple had earned exactly $930 in
simple

interest. How much did they invest at each rate?

Define variable: x=

Amt in 12% acct:____________

Amt in 7% acct:_____________

IV. Two cars left Center City and drove to the shore 330
miles away. One car was driven at 80 miles

an hour. The other car was driven at 55 miles an hour. How long did it take each
car to make

the trip? (Do not have to define variables.) Use d=rt.

Car 1:______________

Car 2:______________

10) Thelma has a math final exam that counts twice as much
as a test. She had 4 tests with grades of 88,

75, 95, and 92. What score does she need to obtain on the final exam to get an
average of more than 95

for the course? **NOTE:** Do **NOT** solve this problem. Just set up the
inequality.

Define variable:

Answer:

11) Find the circumference of a circle with radius
inches. Give the exact answer. (Do NOT

round.)

12) True or false. Circle one.

b) The zero polynomial is the only polynomial that has no degree.

***Extra Credit* **Do AT MOST 1 of the following.
Circle all answers.

I. Find the area of the shaded region below.

II. Today’s fastest modern computers can perform one
operation in second. How many

operations can such a computer perform in 1 minute?

III. Divide using Long Division.

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