1. No category

Name: ________________________________________________________
Period: _______
Math B Review – 2
Date: ________________________
_________________
1. What is the sum of 2 ! !4 and !3 + !16 expressed in a + bi form?
(1) !1 + 2i
(3) !1 + 12i
(2) !1 + i 20
(4) !14 + i
2. If f ( x ) = 4 x 0 + (4 x ) !1 , what is the value of f (4) ?
1
(1) !12
(3) 1
16
1
(2) 0
(4) 4
16
2x2
?
3. What is the domain of the function f ( x ) = 2
x !9
(1) all real numbers except 0
(2) all real numbers except 3
(3) all real numbers except 3 and –3
(4) all real numbers
4. If logb x = y , then x equals
(1) y • b
y
(2)
b
(3) y b
(4) b y
5. If f ( x ) = x + 1 and g ( x ) = x 2 ! 1, the expression ( g ! f )( x ) equals 0 when x is equal to
(1) 1 and –1
(3) –2, only
(2) 0, only
(4) 0 and –2
6. Written in simplest form, the expression
(1)
1
5
(2) !
x2 ! 9x
is equivalent to
45x ! 5x 2
(3) 5
1
5
(4) !5
7. If log a = x and log b = y , what is log a b ?
x+ y
(1) x + 2 y
(3)
2
y
(2) 2 x + 2 y (4) x +
2
8. Which relation is a function?
(1) xy = 7
(3) x 2 ! y 2 = 7
(2) x = 7
(4) x 2 + y 2 = 7
9. Which equation, when graphed on a Cartesian coordinate plane, would best represent an elliptical racetrack?
(1) 3x 2 + 10 y 2 = 288,000
(3) 3x + 10 y = 288,000
2
2
(2) 3x ! 10 y = 288,000
(4) 3x + 10 y = 288,000
10. Which equation has imaginary roots?
(1) x(5 + x) = 8
(3) x(x + 6) = -10
(2) x(5 - x) = -3
(4) (2x + l)(x - 3)
3
2
1
11. If f ( x) = x , then f ( ) is equal to
4
1
(1) 8
(3) !
8
(2) -2
(4) -4
!
12. If the equation x 2 ! kx ! 36 = 0 has x = 12 as one root, what is the value of k?
(1) 9
(3) 3
(2) -9
(4) -3
13. The height, f(x), of a bouncing ball after x bounces is represented by f ( x) = 80(0.5) x . How many times
higher is the first bounce than the fourth bounce?
(1) 8
(3) 16
(2) 2
(4) 4
14. The graph of y = ( x ! 3) 2 is shifted left 4 units and down 2 units. What is the axis of symmetry of the
transformed graph?
(1) x = -2
(3) x = 1
(2) x = -1
(4) x = 7
15. The solution set of 2 x
(1) {1}
(2) {-1}
2
+2 x
= 2 !1 is
(3) {-1,1}
(4) { }
1
16. Which transformation best describes the relationship between the functions f ( x) = 2 x and g ( x) = ( ) x ?
2
(1) reflection in the line y = x
(2) reflection in the origin
(3) reflection in the x-axis
(4) reflection in the y-axis
17. What is the multiplicative inverse of 3i?
1
(1) -3i
(3)
3
i
(2) -3
(4) !
3
18. Which equation represents a hyperbola?
(1) y 2 = 16 ! x 2
(3) y = 16x 2
16
(2) y = 16 ! x 2
(4) y =
x
19. The solution set of which inequality is represented by the accompanying graph?
(1) x ! 2 > 7
(3)
2 ! x > !7
(2) x ! 2 < 7
(4)
2 ! x < !7
20. Which expression is in simplest form?
x2 ! 4
x
(1) 2
(3)
x+2
x
x 2 ! 6x + 9
9
(2) 2
(4) 2
x ! x!6
x +9
21. Which set of ordered pairs does not represent a function?
(1) {(3,-2), (-2,3), (4,-1), (-1,4)}
(2) {(3,-2), (3,-4), (4,-1), (4,-3)}
(3) {(3,-2), (4,-3), (5,-4), (6,-5)}
(4) {(3,-2), (5,-2), (4,-2), (-1,-2)}