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ALGEBRA2 PRACTICE FINAL EXAM 2

PART I

1. Solve the equation for x: [pic]

(1) 2 (2) -2 (3) 4 (4) -4

2. Given the function[pic]. Find the numerical value of[pic].

(1) 2 (2) -2 (3) 1 (4) 4

3. Find the product:[pic].

(1) -50 + 10i (2) 6 – 46i (3) 62 – 10i (4) 62 + 10i

4. If [pic] find[pic].

(1) -64 (2) 64 (3) -12 (4) 12

5. The roots of the equation [pic] will be imaginary when k = ?

(1) -.45 (2) .45 (3) -3 (4) 3

6. If [pic], find the value of x to the nearest hundredth.

(1) .27 (2) 2.11 (3) 3.75 (4) 3.76

7. In which quadrant does the sum of [pic]lie?

(1) I (2) II (3) III (4) IV

8. The expression [pic]in expanded form equals:

(1) 4x2 – 49 (2) 4x2 + 49 (3)4x2–28x+49 (4)4x2–28x–49

9. Reduce the algebraic fraction to lowest terms: [pic].

(1) [pic] (2) [pic] (3) [pic] (4) [pic]

10. The graph of the equation [pic] is the conic section:

(1) parabola (2) circle (3) ellipse (4)hyperbola

11. Express [pic]as a single logarithm.

(1) log xy (2) log [pic] (3) log[pic]+log y2 (4)log xy2

12. If y varies inversely with x, and y = 2 when x = 8, find the value of y when x = 12.

(1) [pic] (2) 3 (3) [pic] (4) 48

13. If [pic]and [pic]find [pic].

(1) -30 (2) 120 (3) 210 (4) 270

14. Find the solution set for the inequality [pic].

(1)x ≤ 2 or x ≥ 7 (2)x ≤ -7 or x ≥ -2 (3) 2 ≤ x ≤ 7 (4) -7 ≤ x ≤ 2

15. Find the value of angle X to the nearest degree if

arc A = 1650 and arc B = 750. A

(1) 45[pic] (3) 90[pic] B X

(2) 120[pic] (4) 240[pic]

16. What is the solution set for the equation [pic].

(1) 3 (2) 5 (3) [pic] (4) 33

17. Simplify and express in a + bi form: [pic].

(1) i (2) -i (3) [pic] (4) [pic]

18. Simplify the complex fraction: [pic]

(1) 4 (2) [pic] (3) [pic] (4) [pic]

19. If [pic], find the value of x.

(1) 4 (2) 8 (3) -4 (4) 16

20. Find the domain of [pic].

(1) x ≥ 7 (2) x ≤ 7 (3) x > 7 (4) x < 7

21. Solve for all values of x given the equation: [pic].

(1) {-12,9} (2) {9,12} (3) {219} (4) {-9,9}

22. Rationalize the denominator and express the answer in simplest terms: [pic].

(1) 4 (2) [pic] (3) [pic] (4) [pic]

PART II

23. Solve the following absolute value inequality and graph the solution set on the real number line:[pic]

24. For the equation [pic], find a) the sum of the roots and b) the product of the roots.

25. Write in simplest form: [pic].

26. Factor the following expression completely: [pic].

PART III

27. Solve the following equation and express the roots in simplest a + bi form. [pic]

28. The table below represents data gathered by a research company.

a) Graph the scatter plot of the given information.

b) Find the linear equation of best fit for the given data. Round decimals to two places.

c) Find the correlation coefficient “r” correct to four decimal places.

d) Use the equation found in part b, with the rounded values, to estimate the value of y when x = 22.

|x |7 |9 |11 |13 |15 |

|y |-2 |1 |7 |16 |27 |

NAME___________________________________________________________________

MRS. BINASO

ALGEBRA 2

EASTER ASSIGNMENT

PRACTICE FINAL EXAM 2

This assignment is DUE ON 4/16.

Part I: Place the number of the correct choice on the line provided. Show all work on loose leaf and attach to this answer sheet.

1. ______ 7. ______ 13. ______ 19. ______

2. ______ 8. ______ 14. ______ 20. ______

3. ______ 9. ______ 15. ______ 21. ______

4. ______ 10.______ 16.______ 22.______

5. ______ 11.______ 17.______

6. ______ 12.______ 18.______

Part II: Show all work in the space provided.

23. 24.

25. 26.

Part III: Show all work.

27. 28.

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