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SPI > Chapter 1: The basics > Flashcards

Chapter 1: The basics Flashcards

1
Q

Unrelated

A

Two items that are not associated.

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2
Q

Which examples best describe unrelated?

A. Money in my bank and my happiness.
B. Images on my phone and chairs at my table.
C. 2 and 1/2 are reciprocals.
D. The amount of food I eat and my weight.

A

B. Images on my phone and chairs at my table.

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3
Q

Related or Proportional

A

Two items that are associated or affiliated. However, the relationship between the items does not have to be specified.

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4
Q

Cholesterol level and longevity.
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

D) Inversely Proportional

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5
Q

Smoking and the likelihood of cardiovascular disease.
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

B) Related

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6
Q

Years employed and days of vacation earned per year.
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

C) Directly Related

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7
Q

IQ and shoe size
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

A) Unrelated

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8
Q

Hours spent exercising and weight.
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

D) Inversely Proportional

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9
Q

Alcohol intake and sobriety
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

D) Inversely Proportional

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10
Q

What is the reciprocal of 20?
A) 20
B) 1/20
C) 1
D) .20

A

C) 1

20:
20/1 x 1/20 = 20/20 = 1

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11
Q

Which of the lines in the graph below represent an inverse relationship?

A

The red, orange, and black lines.

*Remember that the items’ inverse relationship extends from upper left to lower right.

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12
Q

Which of the lines in the graph below represents a direct relationship?

A

The green, blue, and purple line.

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12
Q

Directly Related

A

When two items are associated. If one increases the other increases too or vice versa.

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12
Q

Which lines in the graph represent relationships between two variables?

A

All the lines represent a relationship between two variables.

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13
Q

Inversely Related

A

When two items are associated. If one increases the other decreases or vice versa.

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13
Q

Reciprocal Relationship

A

When two factors/items are multiplied together they are going to equal to 1.

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14
Q

What’s a special relationship for inverse relationships?

A

Reciprocal

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15
Q

Units of length would be:

A

distance or circumference: cm, feet

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16
Q

Units of area:

A

cm2, ft2

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17
Q

Units of volume:

A

cm3, ft3

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18
Q

“Increase by a factor” means to:

A

multiply by that number.

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19
Q

Increase by a factor of 6 means six times larger. Which of the following best relates to the question?
A) Plus
B) Multiply

A

B) Multiply

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20
Q

“Decrease by a factor” means to:

A

divide by that number.

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21
Q

Decrease by a factor of three means one third. Which of the following best relates to the question?
A) Minus
B) Divide

A

B) Divide

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22
Q

A number followed by the word “percent” is:
A) More
B) Less
C) Equal to
D) Unitless

A

D) Unitless

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23
Q

The amount I read in my textbook & my physics grades:
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

C) Directly Related

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24
Q

The number of trees in the forest & my house address:
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

A) Unrelated

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25
Q

The time spent on Instagram & my cell data usage:
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

C) Directly Related

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26
Q

The number of purchases made & the store’s inventory:
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

D) Inversely Proportional

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27
Q

The number of days with cold temperature & the number of days I turn the furnace on:
A) Unrelated
B) Related
C) Directly Related
D) Inversely Proportional

A

C) Directly Related

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28
Q

Variables aka

A

Factors

29
Q

Megahertz is:

A

1 million Hertz

30
Q

If the exponent is positive, the number is larger, between, or smaller than 1?

A

Larger than 10.

  • VERY BIG NUMBER
31
Q

If the exponent is zero, the number is larger, between, or smaller than 1?

A

It has a value between 1 and 10.

  • It’s saying that we are multiplying a number by 1 and then the number ends up being between 1 and 10.
32
Q

If the exponent is negative, the number is larger, between, or smaller than 1?

A

Smaller than 10.

  • VERY SMALL NUMBER
33
Q

Positive exponent, you move to the right or left side?

A

Right

34
Q

Negative exponent, you move to the right or left side?

A

Left

35
Q

2.6 x 10^6 = ?

A

2,600,000.0

36
Q

3.1 x 10^4 = ?

A

31,000.0

37
Q

1.8 x 10^9 = ?

A

1,800,000,000.0

38
Q

2.6 x 10^-6 = ?

A

0.0000026

39
Q

2.6 x 10^0 = ?

A

2.6

40
Q

Convert 3,400,000,000 into the 10th power.

A

3.4 x 10^9

41
Q

Convert 0.00049 into the 10th power.

A

4.9 x 10^-4

42
Q

1.0 x 10^6=?

A

1,000,000

43
Q

Convert 0.00049 into the 10th power.

A

4.9 x 10^7

44
Q

1.742 x 10^3

A

1742 or 1742.0

45
Q

The prefix of 10^9 is?

A

Giga (billion)

46
Q

The prefix of 10^6 is?

A

Mega (million)

47
Q

The prefix of 10^3 is?

A

Kilo (thousand)

48
Q

The prefix of 10^2 is?

A

Hecto (hundred)

49
Q

The prefix of 10^1 is?

A

Deca (ten)

50
Q

The prefix of 10^-1 is?

A

Deci (tenth)

51
Q

The prefix of 10^-2 is?

A

Centi (hundredth)

52
Q

The prefix of 10^-3 is?

A

Milli (thousandth)

53
Q

The prefix of 10^-6 is?

A

Micro (millionth)

54
Q

The prefix of 10^-9 is?

A

Nano (billionth)

55
Q

How are the size of a tree and its sage related?
A) Inversely
B) Directly
C) Unrelated

A

B) Directly

Generally, as a tree ages, its size increases.

56
Q

How are the height of a person and the color of his automobile related?
A) Inversely
B) Directly
C) Unrelated

A

C) Unrelated

Generally, a person’s age and car color have no relation to each other.

57
Q

How is the age of a loaf of bread related to its freshness?
A) Inversely
B) Directly
C) Unrelated

A

A) Inversely

As a loaf of bread ages, its freshness decreases.

58
Q

Which of the following is an appropriate unit of area?
A) Seconds
B) Yards
C) Inches
D) cm^3
E) Square Yards

A

E) Square Yards

Area is measured in units of length squared. The area that carpet covers is measured in square yards.

*Usually measured in squared units.

59
Q

Which of the following is not an appropriate unit for volume?
A) Cubic Miles
B) Gallons
C) cm
D) cm^3
E) Pint

A

C) cm

Volume is measured in units of length cubed. Centimeters is simply a measure of length.

60
Q

All of the following are measures of length except:
A) Mile
B) Inch
C) mm
D) Second
E) km

A

D) Second

Seconds are units of time, not length.

61
Q

List these metric terms in increasing order:
A) Mega
B) Micro
C) Milli
D) Hecto
E) Deca
F) Deci

A

B, C, F, E, D, A, or Micro, Mili, Deci, Deca, Hecto, Mega

It specifically says to put it in order from start to finish, in this case, low to high.

62
Q

List these metric terms in decreasing order:
A) Nano
B) Centi
C) Giga
D) Kilo
E) Hecto
F) Micro

A

C, D, E, B, F, A, or Giga, Kilo, Hecto, Centi, Micro, Nano

It specifically says to put it in order from start to finish, in this case, high to low.

63
Q

How many milliliters are in 8 liters?
A) 1/8
B) 8
C) 80
D) 800
E) 8000

A

E) 8000

Milli means thousandth.

64
Q

How many centimeters are in 3 meters?
A) 1/300
B) 1/3
C) 3
D) 300
E) 3000

A

D) 300

Centi means hundredth.

65
Q

How many kilometers are in 3000 meters?
A) 1/300
B) 1/3
C) 3
D) 300
E) 3000

A

C) 3 Kilo means thousand.
Three kilometers equal 3,000 meters.

66
Q

What is the reciprocal of 100?
A) 0.1
B) 100
C) 0.2
D) 0.01
E) 1/50

A

D) The reciprocal of 100 is 1/100 or 0.01.

1/100 x 100/1 = 100/100 = 0.01

67
Q

What is the reciprocal of 1/8?
A) 80
B) 10
C) 1
D) 8
E) 72

A

D) The reciprocal of 1/8 is 8.

1/8 = 8/1 = 8
On the second step, you will divide 8/1 which equals 8.

68
Q

How many hertz is 3 MHz?
A) 3,000,000
B) 3000
C) 333
D) 0.003

A

A) 3,000,000

69
Q

How many milliliters are contained in a jar filled with 5 liters of fluid?
A) 5
B) 5000
C) 500
D) 0.005

A

B) 5000

Milliliters equal a thousand.

70
Q

How many liters are contained in 80 ml of fluid?
A) 8
B) 80
C) 0.008
D) 0.080

A

D) 0.080

71
Q

How much bigger is a thousand than ten?
A) 10 times
B) 100 times
C) 1000 times
D) 500 times

A

B) 100 times

A thousand is 100 times bigger than ten,

72
Q

How much bigger is a billion than a million?
A) 10 times
B) 100 times
C) 1000 times
D) 500 times

A

C) 1000

A billion is 1000 times greater than a million.

73
Q

How much smaller is a hundred than a thousand?
A) 1/10
B) 1/100
C) 1/1000
D) 1/10000

A

A) 1/10

A hundred is one-tenth of a thousand.

74
Q

Match the appropriate term in the first column with the units in the second column.
1) Time A) 6 Square Miles
2) Length B) -9 Degrees
3) Cost C) 14 Kilograms
4) Volume D) 83%
5) Area E) 15m^3
6) Test Score F) 12 Centimeters
7) Mass G) 4 Minutes
8) Temperature H) 86 Cents

A

1) G
2) F
3) H
4) E
5) A
6) D
7) C
8) B

SPI (2 decks)

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