# College Algebra: Help and Review Final Exam

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### Page 1

#### Question 1 1. Simplify.

#### Question 2 2. This graph corresponds to which inequality?

#### Question 3 3. Which of the following makes an equation a relation rather than a function?

#### Question 4 4. If the graph below was written in the slope intercept form, which of the following would be true?

#### Question 5 5. Which of the following is an imaginary number?

### Page 2

#### Question 6 6. Evaluate.

#### Question 7 7. Which number is represented by the graph below?

#### Question 8 8. Simplify the expression below.

#### Question 9 9. Which of the following graphs represents the complex number -i on the complex plane?

#### Question 10 10. Which graph matches the equation below?

### Page 3

#### Question 11 11. Add and simplify.

#### Question 12 12. Divide using long division.

#### Question 13 13. Which of the following equations represents an exponential decay?

#### Question 14 14. Solve the exponential equation below for x:

#### Question 15 15. Subtract the following rational expressions.

### Page 4

#### Question 16 16. What does the Zero Product Property tell us?

#### Question 17 17. What does a closed dot on the number line signify?

#### Question 18 18. 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?

#### Question 19 19. When completing the square on the quadratic equation listed below, how is c calculated?

#### Question 20 20. What are the coordinates of the vertex of the graph y = |x - 9| - 2?

### Page 5

#### Question 21 21. Divide the following expressions:

#### Question 22 22. What does the fundamental counting principal say?

#### Question 23 23. Which phrase describes a parabola that looks like an upside down U?

####
Question 24
24.
Solve the following system of equations:

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

#### Question 25 25. What makes solving inequalities different from solving equations?

### Page 6

#### Question 26 26. Use the following information to answer the question.

#### Question 27 27. Which one of these functions has a domain of all real numbers?

#### Question 28 28. What notation do you use to show that you have an inverse function?

#### Question 29 29. Expressing the equation below in the vertex form will give a value of 'h' = _____ .

#### Question 30 30. Divide the following polynomials:

### Page 7

#### Question 31 31. What is the domain of the function below?

#### Question 32 32. Which sentence would be represented by an inequality?

####
Question 33
33.
In math, *i* equals _____.

#### Question 34 34. Which rule represents the nth term in the sequence 9, 16, 23, 30...?

#### Question 35 35. What does step 2 of the Binomial Theorem tell us to do with the first term of the binomial?

### Page 8

#### Question 36 36. Find the sum of the following geometric series:

#### Question 37 37. What is the slope-intercept form equation of the graph below?

#### Question 38 38. Simplify the following expression.

#### Question 39 39. Which graph below could represent an absolute value?

#### Question 40 40. Divide using synthetic division.

### Page 9

#### Question 41 41. How many roots does the equation below have?

#### Question 42 42. Which two groups of numbers do NOT have any numbers in common?

#### Question 43 43. Which of these equations represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year.

#### Question 44 44. What are the coordinates of this point?

#### Question 45 45. What is the b-value of the quadratic equation below?

### Page 10

#### Question 46 46. In order to complete the square on the following equation, what value would you add to both sides?

#### Question 47 47. Which of the following is equivalent to the following expression?

####
Question 48
48.
Express the following absolute value inequality as two inequalities.

*|*x + 2*|* > 1

*|*x + 2

*|*> 1

#### Question 49 49. Which graph has a positive x-intercept and a negative y-intercept?

#### Question 50 50. Which graph does NOT represent a system of equations?

#### College Algebra: Help and Review 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!