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Exponential Super Review

Total questions: 55

Worksheet time: 4hrs 8mins

Name
Class
Date
1.
The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 51.5d
How many downloads will the album have after 3 days?
a)
125
b)
11
c)
1398
d)
140
2.
Simplify the expression x(3x)2
a)
3x2
b)
9x2
c)
3x2 + x
d)
9x3
3.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
4.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
5.
You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.
a)
$800.26
b)
$6,701.28
c)
$10,138.07
d)
$1,923.23
6.
To solve 36 = 6x, re-write 36 as what base and exponent?
a)
36
b)
63
c)
62
d)
312
7.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
8.
Solve 8 = 25x+7
a)
⅘
b)
¼
c)
-⅘
d)
-¼
9.
Solve 33 = 34x + 2
a)
¼
b)
-¼
c)
½
d)
-½
10.
Solve for n:
2-2n = 26
a)
-1
b)
-7
c)
5
d)
-3
11.
Solve for b:
43b - 3 = 1/16
a)
7
b)
-1/4
c)
1/2
d)
1/3
12.
Solve for r:
3-3r = 35
a)
-4
b)
-5/3
c)
2
d)
8
13.
Solve for x:
32x = 27
a)
3/2
b)
-2
c)
0
d)
5
14.
Solve for p:
4p+2 = 64
a)
-16/9
b)
1
c)
8
d)
7/6
15.

How many months have 28 days?

a)

4

b)

1

c)

12

d)

3

16.
Solve for a:
5a + 2 = 1/125
a)
-1
b)
-6/7
c)
-5
d)
4
17.
Rewrite in exponential form:
log (x) = ¼
a)
x1/4 = 1
b)
1x =¼
c)
101/4 = x
d)
10x = ¼
18.
Evaluate.
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
19.

log232=3x

a)

5/3

b)

3/5

c)

5

d)

3

20.

logx1000=3

a)

1

b)

10

c)

30

d)

3

21.
Write the following equation in exponential form:
log232 = 5
a)
25 = 32
b)
232 = 5
c)
52 = 32
d)
322 = 5
22.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
23.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

24.
Solve for x:
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
25.
Solve for r:
3-3r = 35
a)
-4
b)
-5/3
c)
2
d)
8
26.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
27.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
28.

Condense to a single logarithm.

a)

ln x4/ y

b)

ln xy4

c)

ln x/ y4

d)

ln x4/ y4

29.
Solve for x:
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
30.
Expand.
a)
log x + 5 log y
b)
5 log x + 5 log y
c)
5 log x - log y
d)
log x - 5 log y
31.
Solve
a)
5
b)
13
c)
84
d)
-20
32.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
33.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
34.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
35.
Approximately what interest rate would be needed in order to grow an investment of $1,400 to $2,500 in 10 years if the interest was compound monthly?
a)
5.96%
b)
5.84%
c)
5.81%
d)
5.88%
36.
Rewrite in exponential form:
ln(2) = x
a)
2x = 10
b)
102 = x
c)
ex = 2
d)
e2 = x
37.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
38.
Solve for x:
32x = 27
a)
3/2
b)
-2
c)
0
d)
5
39.
Solve for p:
4p+2 = 64
a)
-16/9
b)
1
c)
8
d)
7/6
40.

In the compound interest formula A=P(1+r)t what does the A stand for?

a)

The amount of interest

b)

The total amount

c)

The interest rate

d)

The time

41.

In the compound interest formula A=P(1+r)t what does the P stand for?

a)

The time

b)

The total amount

c)

The principal amount (original amount)

d)

The interest rate

42.

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$565.70

b)

$262609.38

c)

$65.70

d)

$630.20

43.

Henry deposits $750 into a college savings account that is compounded annually when his parents received as a stimulus package. If Henry lets the money sit in the account without adding or removing any and receives a 8.5% interest rate, how much money will he have total after 5 years?

a)

$1127.74

b)

$1535.24

c)

$2345.67

d)

$850.76

44.

Trevor wants to have $4000 saved up in 3 years for a car. If he invests $1500 in a savings account that is compounded annually at an interest rate of 12%, will he have enough money at the end of the 4 years?

a)

Yes

b)

No

45.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
46.
5-3⋅54
a)
5,354
b)
5⁻¹
c)
5¹²
d)
5
47.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
48.

7-2

a)

1 / 49

b)

49

c)

-1 / 14

d)

-7

49.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
50.
What is the value of x?
316 = (38)(3x)
a)
2
b)
8
c)
4
d)
1
51.
Simplify the expression.
1/w-5
a)
1/w5
b)
w5
c)
w-5
d)
1/w-5
52.
Simplify the expression.
(2mp)3
a)
2mp3
b)
2m3p3
c)
6m3p3
d)
8m3p3
53.

That color is the letter "T" ?

a)

Red

b)

Blue

c)

Green

d)

White

54.

What is the value of the third equation?

a)

1

b)

2

c)

3

d)

4

55.

Which is missing: kingdom, ___, class, order, family, genus, species.

a)

Mollusc

b)

Phylum

c)

Domain

d)

Cnidaria

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