ALGEBRA2 PRACTICE FINAL EXAM 2
PART I
1. Solve the equation for x: 3x  4  85
(1) 2
(2) -2
(3) 4
(4) -4
2. Given the function f ( x)  2( x  3) 2 . Find the numerical value of f (2) .
(1) 2
(2) -2
(3) 1
(4) 4
3. Find the product: (3  7i )(2  8i ) .
(1) -50 + 10i
(2) 6 – 46i
2
(3) 62 – 10i (4) 62 + 10i
bg
4. If f ( x)  x 3 find f 64 .
(1) -16
(2) 16
(3) -512
(4) 12
5. The roots of the equation 5x 2  3x  k  0 will be imaginary when k = ?
(1) -.45
(2) .45
(3) -3
(4) 3
6. If x  log 3 62 , 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 4  6i , and ,3  2i lie?
(1) I
(2) II
(3) III
(4) IV
b g
8. The expression 2 x  7 in expanded form equals:
(1) 4x2 – 49
(2) 4x2 + 49
(3)4x2–28x+49 (4)4x2–28x–49
2
4  4r
.
2r 2  r  3
4r
4
(3) 2
(4)
2r  3
2r  3
9. Reduce the algebraic fraction to lowest terms:
(1)
4
2r  3
(2)
2  2r
r r3
2
10. The graph of the equation 3x 2  5 y 2  35 is the conic section:
(1) parabola
(2) circle
(3) ellipse (4)hyperbola
1
log x  2 log y as a single logarithm.
2
(1) log xy
(2) log x y 2
(3) log x +log y2 (4)log xy2
11. Express
12. If y varies inversely with x, and y = 2 when x = 8, find the value of y when x = 12.
4
5
(1)
(2) 3
(3)
(4) 48
3
3
13. If f ( x)  x 2  3x and g( x)  3x find f ( g ( 5)) .
(1) -30
(2) 120
(3) 210
(4) 270
14. Find the solution set for the inequality x 2  9 x  14  0 .
(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.
(1) 45 
(3) 90 
(2) 120 
(4) 240 
16. What is the solution set for the equation
(1) 3
(2) 5
17. Simplify and express in a + bi form:
(1)
3 12
 i
17 17
(2)
1 4
 i
5 5
A
B
x 3 4  2.
8
(3)
3
X
(4) 33
3i
.
4i
1
x2
18. Simplify the complex fraction:
1
3
x
3x  1
(1) 4
(2)
x
(3)
3 12
 i
17 17
(4)
1 4
 i
5 5
9
(3)
8
3 x
(4)
3x  1
x
19. If log x 64  3 , find the value of x.
(1) 4
(2) 8
(3) -4
(4) 16
20. Find the domain of f ( x )  2 x  14 .
(1) x ≥ 7
(2) x ≤ 7
(3) x > 7
(4) x < 7
21. Solve for all values of x given the equation: 2 x  3  21 .
(1) {-12,9}
(2) {9,12}
(3) {219}
(4) {-9,9}
22. Rationalize the denominator and express the answer in simplest terms:
(1) 4
(2)
24
6
(3)
2 6
3
(4)
4 6
6
4
.
6
PART II
23. Solve the following absolute value inequality and graph the solution set on the real
number line: x  3  14
24. For the equation x 2  6x  5  0 , find a) the sum of the roots and b) the product of
the roots.
25. Write in simplest form: 2 108  3 48 .
26. Factor the following expression completely: x  49 x 3 .
PART III
27. Solve the following equation and express the roots in simplest a + bi form.
x2  4x  5  0
28. The number of rooms in your home is said to be a reliable predictor of your SAT
scores. The following data contains the number of rooms in students’ homes and
their math SAT scores.
Number
of Rooms
Math
Score
3
4
5
6
7
8
500
530
570
610
630
640
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 4 decimal places.
d. Use the equation found in part b to estimate the SAT math score of a student
living in a 12 room house. Remember SAT scores are reported in increments
of 10.
NAME_________________________________________________
Pd _____
ALGEBRA 2
EASTER ASSIGNMENT
PRACTICE FINAL EXAM
This assignment is DUE ON 4/20/2009 in class.
Part I: Place the number of the correct choice on the line provided. Show all work on
loose leaf and staple to the answer sheet. You will receive a deduction of 10 points if it is
not stapled. Answers with no work will be marked wrong.
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.
Part III: Show all work.
27.
26.