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Chapter 7 Review

Total questions: 50

Worksheet time: 2hrs 53mins

Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
2.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
3.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
4.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
6.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
7.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

8.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

9.
a)
b)
c)
d)
10.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

11.
a)
b)
c)
d)
12.
a)
b)
c)
d)
13.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

14.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
15.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
16.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

17.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
18.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
19.
Write the following expression in radical form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
20.
Write the following expression in exponential form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
21.
What is 71  ?
a)
1
b)
7
c)
0
d)
14
22.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
23.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
24.
a)
72
b)
71/2
c)
7-2
d)
7-1/2
25.
Re-write the expression in radical form.
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
26.
Rewrite the following as a radical.  Simplify if possible.
a)
A
b)
B
c)
C
d)
D
27.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
28.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
29.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
30.

What does the graph represent?

a)

Exponential Growth

b)

Exponential Decay

31.

What does this graph represent?

a)

Exponential Growth

b)

Exponential Decay

32.

Which does y= 2(.5)x represent?

a)

Exponential Growth

b)

Exponential Decay

33.

Which does y=.5(2)x represent?

a)

Exponential Growth

b)

Exponential Decay

34.

Cells dying off would be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

35.

Bacteria growing can be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

36.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

37.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
38.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
39.
Is this exponential growth or decay?
a)
Growth
b)
Decay
40.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
41.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)x

b)

y=6(1+14)x

c)

y=6(1+ 0.14)x

d)

y=6(1 - 0.14)x

42.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(1 - 0.30)x

b)

y=30(5000)x

c)

y=5000(1 + 0.30)x

d)

y=5000xx

43.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

44.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
45.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
46.
The initial deposit or investment is called 
a)
Interest
b)
Principal
c)
Savings
d)
Capital gain
47.
Semi-Annually means how many times a year?
a)
4 
b)
2
c)
1
d)
6
48.
Monthly means how many times a year?
a)
4 
b)
12
c)
52
d)
365
49.

Change 11.2% to a decimal.

a)

11.2

b)

1.12

c)

0.112

d)

0.0112

50.
Bruno was given $2000 when he turned 3 years old.  His parents invested it at a 2% interest rate compounded annually.  No deposits or withdrawls were made.  Which expression can be used to determine how much money Bruno had in the account when he turned 16? 
a)
2000(1+0.02)13
b)
2000(1-0.02)13
c)
2000(1+0.02)16
d)
2000(1-0.02)16

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