# Math 101: College Algebra Final Exam

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#### Question 1 1. The solution set is all values of x, such that x is greater than 30, and less than 45. Express the solution set for this compound inequality using set notation.

#### Question 2 2. Graph the following inequality: |x| > 2

#### Question 3 3. All of the following statements are true about inequalities, EXCEPT?

#### Question 4 4. This graph corresponds to which inequality?

#### Question 5 5. Which of the following represents when a summation series begins?

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#### Question 6 6. The formula for a finite geometric series is:

#### Question 7 7. Given item A, which of the following would be the value of item B?

#### Question 8 8. What is the sum of the arithmetic series 106 +100 + 94 + ... + 28 + 22?

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Question 9
9.
What is the shape of 6*x*2 when it is graphed?

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Question 10
10.
The points that intersect the *x*- or *y*-axis are called the _____.

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Question 11
11.
What are the solutions to *x*2 + 7*x* + 12 = 0 ?

#### Question 12 12. Rewrite the following equation in the vertex form.

#### Question 13 13. Which equation matches the graph below?

#### Question 14 14. Which of the following would be a square matrix?

#### Question 15 15. What is the expression for determinant of this matrix?

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#### Question 16 16. What is the determinant of this matrix?

#### Question 17 17. What does the fundamental counting principal say?

#### Question 18 18. What is (8!)/(6!) ?

#### Question 19 19. Which of the following would be the correct expansion of the expression below?

#### Question 20 20. What is a binomial?

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#### Question 21 21. What is the simplified value of the expression below?

#### Question 22 22. If the solutions to an equation are 3i and 2i+1, the discriminant would be which of the following?

#### Question 23 23. The expression (3i+2)-(2i-5)+3 can be simplified to which of the following expressions?

#### Question 24 24. What type of solution(s) would you get from the equation below?

#### Question 25 25. A line with an undefined slope is a line that goes _____.

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#### Question 26 26. Which graph does NOT represent a system of equations?

#### Question 27 27. Two points on a line are (3, 5) and (-4, 0). Which statement about the line is true?

#### Question 28 28. Which is a solution for the function shown below?

#### Question 29 29. Solve for x:

#### Question 30 30. Solve the exponential equation below for x:

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#### Question 31 31. Condense the logarithm below:

#### Question 32 32. Write the following expression as a single logarithm. Simplify as much as possible.

#### Question 33 33. Which of the following is true regarding negative exponents?

#### Question 34 34. Simplify the following expression:

#### Question 35 35. Simplify the expression using positive exponents.

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#### Question 36 36. Simplify using ONLY positive exponents.

#### Question 37 37. If

#### Question 38 38. Given that g(x) = x2 + 3 and f(x) = x2 + 5x + 7, what is f(g(x))?

#### Question 39 39. Given f(x) = (2,6), (-7,4), (9,2), (-5,1), and (7,2), the corresponding domain and range for f(x) are:

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Question 40
40.
Find the inverse of the following function:

f(x) = 2x + 1

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#### Question 41 41. Subtract and simplify.

#### Question 42 42. In the equation 5x2-5x-30=-20, x is equal to which of the following numbers?

#### Question 43 43. The expression below can be simplified to which of the following expressions?

#### Question 44 44. Subtract and simplify.

#### Question 45 45. An inequality will always have _____ solution(s).

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#### Question 46 46. Which of the following is the common difference in the sequence 7, 14, 21, 28...?

#### Question 47 47. Solve the equation.

#### Question 48 48. Which statement is true about absolute values?

#### Question 49 49. Multiply 5! by 6!.

#### Question 50 50. Simplify.

#### 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!