# Math 101: College Algebra Final Exam

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#### Question 1 1. Absolute values only take into account _____.

#### Question 2 2. 'Solve the equation' means to _____.

#### Question 3 3. Which absolute value equation would have a graph that is an upside down V?

#### Question 4 4. Solve the equation: |2x-5|=5.

#### Question 5 5. What is the base of this log?

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####
Question 6
6.
You just inherited $75,000 and decided to invest the money in a CD that pays a rate of 2.5% annually. Which of the following is an exponential function representing the balance of the account after *x* years?

#### Question 7 7. Expand the logarithm:

#### Question 8 8. A value that a function will get infinitely close to, but never reach is called an _____.

#### Question 9 9. Evaluate the following:

#### Question 10 10. A brick wall has 60 bricks in the first row, but each row has 3 fewer bricks than the previous one. How many bricks are in the 12th row?

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#### Question 11 11. Which sequence below is a geometric sequence?

#### Question 12 12. What is the rule for the nth term of the sequence with a7=53 and a13= 101?

#### Question 13 13. Use long division to divide the following polynomials.

#### Question 14 14. Use synthetic division to divide the following polynomials.

####
Question 15
15.
Add: (*x*2 + 5*x* + 2) + (*x*2 - 2*x* + 7)

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#### Question 16 16. Which of the following is equivalent to the expression below?

#### Question 17 17. What does step 2 of the Binomial Theorem tell us to do with the first term of the binomial?

#### Question 18 18. Multiply 5! by 6!.

#### Question 19 19. What is 11!/10! ?

#### Question 20 20. What would your answer be if you were given the following equation: (n+4)!/(n+1)!

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#### Question 21 21. Solve the equation below.

#### Question 22 22. Solve the equation.

####
Question 23
23.
A parabola that concaves up has *y*-values that go from 8 to 20. What is the minimum of this parabola?

####
Question 24
24.
Use the FOIL method to solve the following:

(*x* + 2) (*x* - 1)

*x*+ 2) (

*x*- 1)

#### Question 25 25. Which number is represented by the graph below?

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#### Question 26 26. Solve the equation below:

#### Question 27 27. The expression (1-i)(2+i) can be simplified to which of the following?

#### Question 28 28. Which of the following graphs represents the complex number -i on the complex plane?

#### Question 29 29. Which of the following is a solution to a formula that graphs with a y-intercept of -4?

#### Question 30 30. Which linear equation is shown below?

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#### Question 31 31. You are shipping a package to a relative in who lives in another state. Rapid Shipment charges a flat rate of $2.00 for the first 5 pounds and $0.50 for each pound over 5 pounds. Hare Shipment charges a flat rate of $3.00 for the first 5 pounds and $0.35 for each pound over 5 pounds. If the cost of shipping is represented by c, which system of equations is true?

#### Question 32 32. Which pattern of numbers represents a linear equation?

#### Question 33 33. Add and simplify.

#### Question 34 34. For the equation following equation, x is equal to which of the following?

#### Question 35 35. Divide the following rational expressions.

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#### Question 36 36. Divide the following rational expressions.

#### Question 37 37. What part of this graph is the solution area?

#### Question 38 38. A compound inequality where both conditions must be true for the solution to work, or when the absolute value is less than, is called a(an) _______ compound inequality.

#### Question 39 39. Which of the following graphs represents the inequality 3y ≤ 2x +1?

#### Question 40 40. Which inequality is graphed below?

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#### Question 41 41. Given that f(x) = x3 - x2 + 2x + 4 and g(x) = 5x + 7, what is f(x) + g(x)?

#### Question 42 42. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 43 43. How do you determine whether a function is an inverse of another function?

#### Question 44 44. Which of the following is the inverse function of f(x) = 3x?

#### Question 45 45. Find the determinant of this matrix:

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#### Question 46 46. Which part of the logarithmic expression shown is the base?

#### Question 47 47. 420 is the sum of the first 20 terms of which of the following sequences?

#### Question 48 48. Simplify the following expression:

#### Question 49 49. Use the binomial theorem to fill in your skeleton and find the expanded binomial of (3x+1)^4.

#### Question 50 50. Which of the following is true about the vertex of a parabola?

#### 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!