6) Is x = 1 or x = -1 a solution to the logarithmic equation?

log8(2) + log8(4x2) = 1
A) x = 1 is a solution
B) x = -1 is a solution
C) x = 1 and x = -1 are solutions
D) x = 1 and x = -1 are NOT solutions

7) Determine the domain of this relation:

{(x, y): y =
3
x − 5
}
A) {x: x ≠ 5}
B) {x: x ≠ 0}
C) {all real numbers}
D) {x: x ≠ −5}

8) What is the inverse of ƒ?

ƒ(x) = x2 - 9
A) ƒ-1(x) = x - 3
B) ƒ-1(x) = x2 + 9
C) ƒ-1(x) =
x
2
+ 9
D) ƒ-1(x) =
x + 9

9) Troy bought a new boat that cost $28,000. The normal depreciation for such a boat is 14% per year. Which equation models the value of Troy's boat after t years?
A) y = 28,0001.14t
B) y = 28,0000.86t
C) y = 28,000(1.14)t
D) y = 28,000(0.86)t

10) Solve the quadratic equation.

(x + 1)2 = 16
A) x = 3 or -5
B) x = -3 or 5
C) x = ±5
D) x = ±1

11) Solve for x.

10
x2 - 2x
=
5
x - 2
-
3
x
A) x = 0
B) x = 2
C) x = 0, x = 2
D) No solution

12) Which is the graph of a function and its inverse?
A) A
B) B
C) C
D) D

* Hover over answer image to enlarge

13) Add and simplify:
9x
x + 2
+
6 − 2x
x
A) 7x2 + 6 x + 2
B) 7x2 + 6 x2 + 2x
C) 7x2 + 2x + 12 2x + 2
D) 7x2 + 2x + 12x2 + 2x
14)
Convert ln x = y to exponential form.
A) ex = y
B) ey = x
C) ex = ln y
D) ex = ey
15)
For what value(s) of x is
x2 - 4
(x - 2)(x + 3)
UNDEFINED?
A) -3
B) -2 and 3
C) 2 and -3
D) 3
16)

What function is shown in the graph?
A) y = -7x
B) y = 7-x
C) y = 7x – 3
D) y = 7x – 3
17)
Solve the rational equation.
-12
x2 + 3x - 4
=
2
x + 4
+ 1
A) x = -4 and x = 1
B) x = -2 and x = -3
C) x = 2 and x = 3
D) x = 4 and x = -1
18)
Simplify and determine the domain of the function:

f(x) =
x2 + 5x +6
x2 - 3x -10
A)
x + 3
x - 5
, x ≠ 5
B)
x + 3
x - 5
, x ≠ -2, 5
C)
x2 + 5x + 6
x - 5
, x ≠ 5
D)
x2 + 5x + 6
x - 5
, x ≠ -2, 5
19)
Solve the rational equation.
1
x-4
=
7
x2 + x - 20
A) x = -2
B) x =
7
5
C) x = 2
D) x = 12
20)
If x2 – 6x – 27 > 0, which statement is correct?
A) –9 < x < 3
B) –3 < x < 9
C) –1 < x < 9
D) x < –3 or x > 9
21)
A new car depreciates in value by 12% for the first 6 years after the car is purchased. Does this model growth or decay and is the percent of growth or decay a constant?
A) grows by a constant percent
B) decays by a constant percent
C) grows by percent that varies
D) decays by percent that varies
22)
Which curve shows an exponential function of the form y = abx ?
A) A
B) B
C) C
D) D

* Hover over answer image to enlarge
23)
Rewrite the equation in logarithmic form: 43 = 64.
A) log34 = 64
B) log364 = 4
C) log43 = 64
D) log464 = 3
24)
Solve the equation.

6x = 12
A) 0.693
B) 0.721
C) 1.387
D) 2
25)
Solve: log2(x + 16) = 6
A) x = 8
B) x = 32
C) x = 48