Questions

1) Simplify if possible. If not possible, write no real solution.

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2) Simplify if possible. If not possible, write no real solution.

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3) Simplify if possible. If not possible, write no real solution.

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4) Simplify if possible. If not possible, write no real solution.

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5) Simplify using positive exponents. State the letter of the correct answer.

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6) Simplify using positive exponents. State the letter of the correct answer.

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7) Simplify using positive exponents. State the letter of the correct answer.

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8) Simplify using positive exponents. State the letter of the correct answer.

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9) Multiply. State the letter of the correct answer.

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10) Write the expression in radical form. State the letter of the correct answer.

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11) Write the expression using rational exponents. State the letter of the correct answer.

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12) Simplify the radical. State the letter of the correct answer.

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13) Simplify the radical. State the letter of the correct answer.

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14) Simplify the radical. State the letter of the correct answer.

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15) Rationalize the denominator and express the answer in simplified form. State the letter of the correct answer.

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16) Solve for “x”: 5x + 3(1 – x) = 3x – 3

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17) Solve for “n”.

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18) Solve for “a”.

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19) Use substitution to solve the system of equations.

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20) Explain how you solved the previous problem.

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21) Use elimination to solve the system of equations.

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22) Explain how you solved the previous problem.

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23) Use a system of equations to solve the following problem scenario: How many pounds of a vanilla coffee at $2.50 per pound and hazelnut coffee at $3.60 per pound should be used to obtain 100 pounds of a mixed coffee valued at $316.00?

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24) Use the definition of equality of complex numbers to solve for “x” and “y”.

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25) Use the definition of equality of complex numbers to solve for “x” and “y”.

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26) Perform the indicated operation and write the results in standard form.

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27) Perform the indicated operation and write the results in standard form.

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28) Perform the indicated operation and write the results in standard form.

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29) Perform the indicated operation and write the results in standard form.

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30) State the conjugate, and then write the expression in standard form.

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31) Identify the conjugate, and then write the expression in standard form. State the letter of the correct simplified answer.

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32) Perform the indicated operation and express the answer in standard form.

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33) Perform the indicated operation and express the answer in standard form.

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34) Perform the indicated operation and express the answer in standard form.

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35) Write the expression in standard form.

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36) Find all real zeros by factoring.

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37) Divide using synthetic division. State the letter of the correct answer.

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38) Use a graph, synthetic division, and/or factoring to find all zeros.

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39) Find all rational roots using a graph, synthetic division and/or the factor theorem.

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40) Find all zeros. State the letter of the correct answer.

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41) What is the domain of the rational function?

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42) Find the (a) domain, (b) vertical asymptote, (c) horizontal asymptote, and (d) any holes in the graph of the rational function.

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43) Solve for “x”.

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44) $800 is invested at 5.65% interest compounded monthly. What will the final amount be after 5 years?

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45) Solve for “x”.

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46) Solve for “x”.

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47) Determine the coterminal angle(s) of 1248 degrees.

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48) Determine the reference angle for -425 degrees.

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For the next three problems, use triangle ABC to find the missing measures. Round angle measures to the nearest tenth and side measures to the nearest whole number.

49) What is the measure of side AB?

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50) What is the measure of the angle shown below?

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51) What is the measure of the angle shown below?

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52) Solve for the six trigonometric functions using the information given below.

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53) Find the exact value for the indicated trigonometric function.

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54) Find the trigonometric function value. Give the exact answer in simplest form.

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55) Find the exact coordinates of P.

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56) Use the Law of Sines to find the area of the given triangle.

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57) Find the missing measures.

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58) Using the Law of Cosines and the Law of Sines, solve the following triangle. Round the answers to the nearest tenth.

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For the next two problems, find the corresponding standard vector of segment XY with endpoints as indicated.

59) X(9, -4), Y(4, 5)

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60) X(-7, -3), Y(9, 1)

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61) Find the magnitude for the vector.

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62) Find the magnitude for the vector.

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For the next two problems, perform the indicated operation. When giving the answer, write it in the following manner.

63) Perform the indicated operation.

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64) Perform the indicated operation.

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For the next two problems, perform the matrix multiplication, if possible. If it is not possible, write “not possible”. Express the answers the same way as the problems above.

65) Perform the matrix multiplication, if possible.

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66) Perform the matrix multiplication, if possible.

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67) Find the determinant and state whether the matrix has an inverse.

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68) Find the determinant and state whether the matrix has an inverse.

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69) Use the expansion of minors to determine the value of the determinant for the 3 x 3 matrix.

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70) Find the inverse matrix, if it exists. If the inverse does not exist, write no inverse.

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71) Solve the system of equations by using matrices.

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72) Solve the system of equations by using matrices.

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73) Find the distance between the given points. State the letter of the correct answer.

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74) Find the distance between the given points. State the letter of the correct answer.

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75) Using the focus and directrix given below, determine the standard form of the parabola. State the letter of the correct answer.

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76) Using the focus and directrix given below, determine the standard form of the parabola. State the letter of the correct answer.

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77) Find the standard form of the parabola. State the letter of the correct answer.

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78) Find the standard form of the parabola. State the letter of the correct answer.

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79) Identify (a) the vertex, (b) the axis of symmetry, and (c) the direction of the opening of the parabola.

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80) Write the standard form of the circle. State the letter of the correct answer.

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81) Write the standard form of the circle. State the letter of the correct answer.

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82) Using the foci and constant sum given below, write the standard equation of the ellipse. State the letter of the correct answer.

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83) Write the standard equation of the ellipse by completing the square. State the letter of the correct answer.

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84) Write the standard equation of the ellipse by completing the square. State the letter of the correct answer.

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85) Write the standard equation of the hyperbola by completing the square. State the letter of the correct answer.

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86) Write the standard equation of the hyperbola by completing the square. State the letter of the correct answer.

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87) Explain how a scatter plot can be used to compare data.

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88) When comparing data in a scatter plot, what does “correlation” mean?

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89) Draw a scatter plot for the given data on a piece of graph paper, and then answer the following questions: (a) What is the correlation? (b) What is the equation of the “line of best fit”?

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90) Write the first four (4) terms of the sequence defined by the explicit formula.

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91) Write the first four (4) terms of the sequence defined by the recursive formula.

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92) Write the terms for the given series, and then evaluate.

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93) Find the fourth term of the sequence defined by the recursive formula.

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For each arithmetic series in the next two problems, find the indicated sum shown below.

94) 3 + 7 + 11 + 15 + …

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95) (-12) + (-6) + 0 + 6 + …

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96) Evaluate the summation.

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97) Find the sixth term in the geometric sequence that includes each pair of terms.

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98) Find the sixth term in the geometric sequence that includes each pair of terms.

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99) Evaluate.

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100) Evaluate.

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