Algebra 2 Honors FE Review Part A 2017
NAME:___________________________
DATE:____________________________
True or False:
1. Over real numbers, there exists an x value such that x2=-25
2. Over complex numbers, there exists an x value such that x2=-25
3. For all real numbers a, b and c: If a>b, then
a b

c c
4. Every real number has a reciprocal
5. The set of real numbers is closed over addition
6. xy 2  xy 2
7. a3·a2=a5
8. (a  b) 2  a 2  b 2
9. A decimal representation of an irrational number is either finite or repeating.
9  4  6
10.
11. If 0  x  1 , then 0  x  x 2
 32   32
13.  32   32
12.
5
5
14. log 2
2
5
2
2
5
2
1
 3
8
15. The slope of a vertical line is zero
16. Parallel lines have opposite slopes
17. The inverse of a function is always a function
18. The domain of g ( x) 
x  2 is
all real numbers.
Use the given graph to classify each of the following as true or false.
19. The domain is D= {x : 2  x  2}
20. The range is the set of all real numbers
21. The relation is not a function
*This is the end of the true/false section
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Algebra 2 Honors FE Review Part A 2017
22. Which one of the following statements about n is always true?
a. n must be a positive number
b. n is rarely a negative number
c. n is never zero
d.
n is always positive
e.
n is nonnegative
23. Determine the value of k so that the line through the points (k, k+1) and (1, 3) will have a slope
of 2.
24. Write an equation of the line, in standard form, passing through the points ( 3, 4) and (4, 5)
25. Write an equation of the line, in standard form, perpendicular to the line 2x + 3y = 5 and passing
through the point ( 4, 3)
26. Does the point P(3, 5) lie on, above or below the line y 
1
x2
2
27. Write the inequality whose solution set corresponds to the shaded area:
28. Let f ( x)  x 2  1 and g ( x)  3x ;
a. Find f(-2)+g(2)
b. Find f(g(1))
c. Find g(f(a+1))
29. Give the domain of
a.
g ( x) 
2
(4  x)( x  3)
t ( x)  5  2 x
30. Find a linear function, f ( x)  mx  b , for which f (6)  30 and f (10)  40 .
b.
31. If the domain of a function g is {-2, -1, 0, 1, 2} and g ( x)  x  1  1 , find the range of g.
32. Solve: x 3  2 x( x  4) (use set builder notation)
33. Solve: a 2  9  0 (use set builder notation)
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Algebra 2 Honors FE Review Part A 2017
34. (Multiple Choice) Which equation has non-real solutions?
a. 2 x 2  4 x  12  0
b. 2 x 2  3x  4 x  12
c. 2 x 2  4 x  12  0
d. 2 x 2  4 x  0
35. Consider the function f ( x)  2  4 x  x 2 . Without graphing,
a. Circle which the function has----a maximum/or minimum.
b. Find the vertex________________
36. Find a quadratic equation in the form ax 2  bx  c  0 whose roots are: 8  i and 8  i
37. If x varies inversely as the square of y, and x = 2 when y = 12, find y when x = 8.
38. If y varies directly as x, and y= -8 when x= 4, find y when x= 3.
39. If y varies jointly as x and z and inversely as the square root of w,
and y = 12 when x = 2, z = 6 and w = 9; find y when x = 5, z = 7
and w = 25.
40. P(x) = x 4  4 x 2  x  4
find P(-2)
x  2 x  3x  6 ?
4
41. Is (x-2) a factor of
3
42. Write an equation of the circle with C(-3, 2) and a radius of 3 2
43. x 2  y 2  8x  2 y  8  0 is a circle with center ___________ and radius__________.
44. S n 
n
 (2a  3)
Find S8
a 1
45. Solve: log 3 x  2
1
x  2 , find g 1 ( x)
3
x2
47. Find the zeros (if any) of g ( x) 
x3
46. Given g ( x) 
2
48. Solve: a 3  16
49. Find 2 geometric means between -5 and 135.
50. Given the sequence  9,7,5,... Find t20
51. Find the sum of all of the terms of 1 
1 1 1
 
 .....
3 9 27
pg. 3