# Math 101: College Algebra Final Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. The graph shows which of the following?

#### Question 2 2. If there are 8 people in a race, but one person is injured and will definitely come in last, how many different ways could the competitors finish?

####
Question 3
3.
Find the domain of the inverse function of:

f(x) = 1/(x-3)

####
Question 4
4.
Simplify:

(3x)^3

#### Question 5 5. All of the following statements are true about inequalities, EXCEPT?

### Page 2

#### Question 6 6. 'Solve the equation' means to _____.

#### Question 7 7. Horizontal lines have a slope that is _____.

#### Question 8 8. Solve the exponential equation below for x:

#### Question 9 9. Which sequence below is a geometric sequence?

#### Question 10 10. Find the arithmetic sequence.

### Page 3

####
Question 11
11.
Choose the point that is NOT in the solution set of the system of inequalities.

y > 2x + 2

y > 5

#### Question 12 12. Which of the following inequalities does not have a solution?

#### Question 13 13. Solve the rational equation.

#### Question 14 14. Which two groups of numbers do NOT have any numbers in common?

#### Question 15 15. According to the product property, you can use ______ to combine two logarithms that are separated by addition.

### Page 4

#### Question 16 16. Which of the following would be a square matrix?

#### Question 17 17. When the arrows of an inequality go in opposite directions, or the absolute value is greater than, it is a(an) _______ compound inequality.

####
Question 18
18.
Find the point that is NOT in the solution set of the system of inequalities.

y > 2x - 3

x < y

####
Question 19
19.
The number of ways you can arrange your 25 books on a bookshelf can be written as 25!

Which of the following statements is FALSE.

####
Question 20
20.
Evaluate:

log 10,000

### Page 5

#### Question 21 21. Add the following rational expressions.

#### Question 22 22. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 23 23. Which of the following is written in Function Notation?

#### Question 24 24. Solve the equation below.

#### Question 25 25. In order to complete the square on the following equation, what value would you add to both sides?

### Page 6

####
Question 26
26.
Solve the following system of equations:

2x-3y=21 & 5x+4y=18

#### Question 27 27. What symbols do we use to enclose a matrix?

#### Question 28 28. Which line has the greatest slope?

#### Question 29 29. Add the following rational expressions.

#### Question 30 30. If you have a system of linear equations (two lines), how would you find the solution of the system using graphing?

### Page 7

#### Question 31 31. Evaluate |r+4|-3|s| when r=5 and s=-1.

#### Question 32 32. Which system of equations is represented by the following matrix?

####
Question 33
33.
Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

#### Question 34 34. Which of the following are the solutions to the equation below?

#### Question 35 35. Which logarithmic property is shown below?

### Page 8

#### Question 36 36. Which inequality is shown in the graph?

#### Question 37 37. What are the factors of 21?

#### Question 38 38. What is the range of the function y = x^2 + 2?

#### Question 39 39. Divide the following expressions:

#### Question 40 40. Find the FALSE statement.

### Page 9

#### Question 41 41. Which of these statements is FALSE regarding the number 0?

####
Question 42
42.
Simplify:

10!/8!

####
Question 43
43.
Which expression is the conjugate of *x*+11?

#### Question 44 44. A solid line on the coordinate plane signifies that _____.

#### Question 45 45. If a question requires us to know the value of |2x+y|, but all we know is that |x+y|=5, what can we do?

### Page 10

#### Question 46 46. Which of the following lists of numbers shows the fourth row of Pascal's Triangle?

#### Question 47 47. Solve for x.

####
Question 48
48.
Simplify:

(x^3)/(x^2)

#### Question 49 49. What is the b-value of the quadratic equation below?

#### Question 50 50. Which of the following is a series?

#### Math 101: College Algebra Final Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!