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Scientific Notation, MAD, Simple/Compound, Dilations Review

Total questions: 50

Worksheet time: 3hrs 2mins

Name
Class
Date
1.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
2.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
3.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
4.

Convert to scientific notation:

520,000,000

a)

52 x 107

b)

5.2 x 10-7

c)

5.2 x 108

d)

0.52 x 109

5.

Write 7.113 x 107 in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

6.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
7.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
8.
Write 3,450,000 in scientific notation.
a)
34.5 x 106
b)
3.45 x 106
c)
3.45 x 107
d)
34.5 x 105
9.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
10.
What is 1.1 x 107 in standard form? 
a)
11,000,000
b)
11 x 108
c)
1,100
d)
1.1
11.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
12.
Find the MAD of the following data sets: $29, $58, $15, $129, $75, $22
a)
196
b)
54.7
c)
114
d)
32.67
13.

What is the mean absolute deviation of 13, 14, 17, 28, and 28?

a)

6.4

b)

8.6

c)

4.6

d)

6.3

14.

What is the Mean and Mean Absolute Deviation of 24, 13, 12, 1, and 0?

a)

Mean:10

Mad:6.7

b)

Mean: 7.6

MAD:10

c)

Mean:10

MAD:7.6

d)

Mean-6.7

MAD-7.6

15.

Lizbeth has a savings account with $2500 in it. The bank gives her a simple interest rate of 2% for each year. How much money will she have in TOTAL after 10 years?

a)

$5000

b)

$500

c)

$7000

d)

$3000

16.

Nathalie borrowed $25,000 from the bank to start an eyelash company. The bank gave her a compound interest loan with a 6.5% interest rate. How much will her TOTAL be after 15 years?

a)

$24,375

b)

$64,269

c)

$38,976

d)

$45,729,786

17.

Victor wants to buy a new Ford F-150 because Ford is the best. The bank gives him $30,000 at a 7% simple interest rate for 8 years. How much INTEREST will be pay?

a)

$46,800

b)

$168,000

c)

$16,800

d)

$28,000

18.

Javier wants to buy five more horses. The bank gives him a compound interest of 2% for 20 years for $15,000. How much will be pay in TOTAL?

a)

$575,063

b)

$21,000

c)

$6,000

d)

$22,289

19.
9)  A simple interest account earns $75 at a rate of 1.5% over the course of 5 years.  What was the principal amount on the account?
a)
$5 
b)
$56 
c)
$100       
d)
$1,000
20.
11)  If Lana deposits $500 into a savings account that gains simple interest at a rate of 2% annually, how many years will it take for the account to gain $100 in interest?
a)
8 years
b)
9 years
c)
10 years 
d)
11 years
21.

A dilation is which of the following:

a)

only an enlargement

b)

neither an enlargement or reduction

c)

only a reduction

d)

both an enlargement and a reduction

22.

Definition: The figure after a transformation has occurred.

a)

image

b)

pre-image

23.

If your SF=2.5, what type of dilation is it?

a)

reduction

b)

enlargement

24.

A dilation is given by the transformation (x, y) → (3.5x, 3.5y). What is the scale factor?

a)

3/5

b)

3.5

c)

5/3

d)

1/3.5

25.

In a dilation what mathematical operation is used with the scale factor?

a)

division

b)

addition

c)

multiplication

d)

subtraction

26.

If your SF=0.6, what type of dilation is it?

a)

enlargement

b)

reflection

c)

translation

d)

reduction

27.

Definition: The figure before a transformation has occurred.

a)

image

b)

pre-image

28.

A dilation is given by the transformation (x, y) → (.75x, .75y). What type of dilation is this?

a)

enlargement

b)

it is not a dilation

c)

reduction

29.

If your SF=6/5, what type of dilation is it?

a)

enlargement

b)

reduction

30.

A dilation is given by the transformation (x, y) → (3/4x, 3/4y). What is the scale factor?

a)

4/3

b)

3

c)

3/4

d)

4

31.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

32.

How do you write the algebraic notation when the scale factor is 1/2?

a)

(x, y) −> (2x, 2y)

b)

(x, y) −> (1/2x, 1/2y)

c)

(x, y) −> (-2x, -2y)

d)

(x, y) −> (2x, 1/2y)

33.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
34.

If the origin is the center of this dilation, choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

35.

Triangle ABC has vertices at A(2,3) B(-5,-1) C(0,5). Its image, Triangle A'B'C', has vertices at A'(4,6) B'(-10,-2) and C'(0,10). What is the scale factor?

a)

1/2

b)

1

c)

2

d)

4

36.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

37.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.


Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

38.
Enlargement or reduction?  Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
39.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
40.

Which proportion is true?

a)

vw=54.38\frac{v}{w}=\frac{5}{4.38}

b)

v6=4.22.52\frac{v}{6}=\frac{4.2}{2.52}

c)

6w=57.3\frac{6}{w}=\frac{5}{7.3}

d)

v6=7.32.52\frac{v}{6}=\frac{7.3}{2.52}

41.

Which proportion is true?

a)

y0.6=0.70.56\frac{y}{0.6}=\frac{0.7}{0.56}

b)

yx=1.251\frac{y}{x}=\frac{1.25}{1}

c)

x1=0.51.05\frac{x}{1}=\frac{0.5}{1.05}

d)

x0.5=0.61.25\frac{x}{0.5}=\frac{0.6}{1.25}

42.

Which proportion must be true?

a)

ABAC=XYYZ\frac{AB}{AC}=\frac{XY}{YZ}  

b)

ABBC=YZXZ\frac{AB}{BC}=\frac{YZ}{XZ}  

c)

ACXZ=ABXY\frac{AC}{XZ}=\frac{AB}{XY}  

d)

ABAC=YZXY\frac{AB}{AC}=\frac{YZ}{XY}  

43.

Alexia is buying a Nissan Versa and takes out a 4-year simple interest car loan for $15000 at a 3% interest rate. What is the principal?

a)

4 years

b)

$15000

c)

3%

d)

Nissan Versa

44.
What is the formula for simple interest?
a)
A=P(1+r)t
b)
I=Prt
c)
I=P(1+r)t
d)
A=Prt
45.

What does the P in I =PRT mean?

a)

Power

b)

Principal

c)

Product

d)

Percent

46.
The simple interest formula is I=Prt.  What does the t represent?
a)
Principle
b)
Interest
c)
Time, in hours
d)
Time, in years
47.

When calculating

interest, how do you write the percent?

a)

a fraction

b)

a decimal

c)

a round number

d)

not enough information

48.
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
49.
What does the "r" in the interest formula stand for?
a)
Principal
b)
Interest
c)
rate
d)
time
50.

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

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