log8(2) + log8(4x2) = 1
Mathematics, 27.03.2020 04:52 cs101200
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 β 5
}
A) {x: x β 5}
B) {x: x β 0}
C) {all real numbers}
D) {x: x β β5}
8) What is the inverse of Ζ?
Ζ(x) = x2 - 9
A) Ζ-1(x) = x - 3
B) Ζ-1(x) = x2 + 9
C) Ζ-1(x) =
x
2
+ 9
D) Ζ-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 = Β±5
D) x = Β±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 β 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 β 3
D) y = 7x β 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 β 5
B)
x + 3
x - 5
, x β -2, 5
C)
x2 + 5x + 6
x - 5
, x β 5
D)
x2 + 5x + 6
x - 5
, x β -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 β 6x β 27 > 0, which statement is correct?
A) β9 < x < 3
B) β3 < x < 9
C) β1 < x < 9
D) x < β3 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
Answers: 2
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Carlos spent 1 1/4 hours doing his math homework he spent 1/4 of his time practicing his multiplication facts how many hours to carlos been practicing his multiplication facts
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6) Is x = 1 or x = -1 a solution to the logarithmic equation?
log8(2) + log8(4x2) = 1
log8(2) + log8(4x2) = 1
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