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TEAS Math > Things to Know > Flashcards

Things to Know Flashcards

1
Q

prime number
- ex?

A

any whole # greater than 1 that has only 2 factors (itself and 1) meaning, a number that can only be divided by 1 and itself
- ex: 2, 3, 5, 7 etc.

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2
Q

composite number
- ex?

A

any whole # greater than 1 that has more than 2 diff. factors, AKA any whole number that is NOT a prime #
- ex: 1, 2, 4, 8, etc.

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3
Q

rational numbers

A

all integers, decimals and fractions (even a repeating decimal #)

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4
Q

irrational numbers

A

cannot be written as fractions or decimals bc the # of decimal places is infinite (ex: pi)

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5
Q

for the # 14, 059. 273, what are the place values of each #?

A

1: ten thousandth
4: thousandth
0: hundredth
5: tenth
9: one
2: tenth
7: hundredth
3: thousandth

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6
Q

what is three hundred two thousand eight hundred seventy six in number form?

A

302,876

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7
Q

what is nine hundred one thousandths in number form?

A

0.901

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8
Q

what is nineteen thousandths in number form?

A

0.019

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9
Q

proper fraction

A

a fraction whose denominator is greater than its numerator

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10
Q

improper fraction

A

a fraction whose numerator is greater than its denominator

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11
Q

explain the steps of multiplying 4 3/8 by 3.5

A
  1. convert 4 3/8 to an improper fraction
  2. convert 3.5 to a fraction
  3. multiply
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12
Q

how do you write 0.24 as a fraction?

A
  1. write 0.24 as a fraction: 0.24= 0.24/1
  2. multiply the fraction 0.24/1 by 10 as many times as it takes until 0.24 is no longer a decimal. in this case, 0.24 x 10= 2.4, x10 again is 24. do the same to the denominator
  3. the result is 24/100 so just simplify to 6/25
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13
Q

what is 150% of 20?

A

move decimal 2 places to the left and multiply,
150 x 20 = 1.5 x 20 = 30

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14
Q

what is the formula for percent increase?

A

percent increase = ((new amount - original amount)/ original amount) x100

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15
Q

direct proportion

A

a relationship in which a quantity increases by a set amount for every increase in the quantity or decreases by that same amount for every decrease in the other quantity

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16
Q

inverse proportion

A

a relationship in which an increase in one quantity is accompanied by a decrease in the other, or vice versa

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17
Q

unit rate

A

expresses a quantity of one thing in terms of one unit of another (ex: mph)

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18
Q

what is the formula for finding slope when given 2 points?

A

m= y2 - y1/ x2 - x1

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19
Q

empty set

A

when an equation has no true solutions

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20
Q

how is a linear eq. written in standard form?
- what is the slope in this eq.?
- y intercept?

A

Ax + By = C
- slope is -A/B
- y intercept is C/B

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21
Q

how is a linear eq. written in slope intercept form?
- what is the slope in this eq.?
- y intercept?

A

y = mx + b
- slope is m
- y intercept is b

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22
Q

how is a linear eq. written in point intercept form?
- what is the slope in this eq.?
- points on the line?

A

y - y1 = m(x - x1)
- slope is m
- point on line is (x1, y1)

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23
Q

how is a linear eq. written in two point form?
- points on the line?

A

y - y1/ x- x1 = y2 - y1/ x2 - x1
- points on line are (x1, y1) and (x2, y2)

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24
Q

how is a linear eq. written in intercept form?
- point that intercepts x axis?
- point that intercepts y axis?

A

x/x1 + y/y1 = 1
- (x1, 0)
- (0, y1)

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25
Q

describe the 4 quadrants on a graph

A

quadrant 1 is the upper right corner, 2 is the upper left, 3 is the lower left, 4 is the lower right

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26
Q

parallel lines

A

2 or more lines that have equivalent slopes

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27
Q

perpendicular lines

A

have slopes that are negative reciprocals of each other (such as a/b and -b/a)

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28
Q

when using inequalities, when do you plot a hollow circle?
- solid circle?

A

if the inequality involves a less than or greater than, hollow
- if the inequality involves a less than or equal to or a greater than or equal to, solid

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29
Q

precision

A

how reliable and repeatable a measurement is (hitting a certain point on a target multiple times)

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30
Q

accuracy

A

how close the data is to the correct data (hitting multiple diff. points on a target that are all close to the bullseye)

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31
Q

maximum possible error

A

half the magnitude of the smallest unit used in the measurement (ex: if the unit of measurement is 1cm, the maximum possible error is 1/2cm)

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32
Q

giga

A

one billion

33
Q

mega

A

one million

34
Q

kilo

A

one thousand

35
Q

deci

A

one tenth

36
Q

centi

A

one hundreth

37
Q

milli

A

one thousandth

38
Q

micro

A

one millionth

39
Q

how do you convert a larger unit to a smaller unit?

A

multiply the # of the known amount by the equivalent amount

40
Q

how do you convert a smaller unit to a larger unit?

A

divide the # of the known amount by the equivalent amount

41
Q

1000 ug (____) = 1 ____

A

micrograms; mg (milligram)

42
Q

1000 mg (____) = 1 ____

A

milligrams; gram (g)

43
Q

1000 g = 1 ____

A

kg

44
Q

1000 mL = 1 ____

A

L

45
Q

1000 um (____) = 1 ____

A

micrometers; millimeter (mm)

46
Q

1000 mm (____) = 1 ____

A

millimeters; meter (m)

47
Q

100 cm = 1 ____

A

m (meter)

48
Q

1000 m = 1 ____

A

km (kilometer)

49
Q

1 in= ____ cm

A

2.54

50
Q

1 ft= ____ in

A

12in

51
Q

1 yd= ____ ft

A

3 ft

52
Q

1 mi= ____ ft = ____ km

A

5280ft; 1.609km

53
Q

1 ac= ____ square yds

A

4840 square yds

54
Q

1 square mi= ____ acres

A

640 acres

55
Q

1 fl oz= ____ fl drams = ____ mL

A

8 fl drams; 29.573 mL

56
Q

1 c= ____ fl oz

A

8 fl oz

57
Q

1 pt = ____ fl oz

A

16 fl oz

58
Q

1 gal = ____ qt

A

4 qt

59
Q

1 tsp = ____ fl drams = ____ mL

A

1 fl dram; 5 mL

60
Q

1 tbsp = ____ fl drams = ____ mL

A

4 fl drams; 15 or 16 mL

61
Q

1 cubic cm= ____ drams = ____ mL

A

0.271 drams; 1 mL

62
Q

1 oz = ____ drams

A

16 drams

63
Q

1 lb= ____ oz

A

16 oz

64
Q

1 tn= ____ lbs

A

2,000 lbs

65
Q

how do you calculate the sum of the interior angles of a polygon?

A

(n-2) x 180
where n= # of sides

66
Q

area of a triangle

A

A= 1/2bh

67
Q

trapezoid
- area of a trapezoid

A

a quadrilateral w at least one pair of parallel sides
- A= 1/2h (b1 + b2)

68
Q

isosceles trapezoid

A

a trapezoid w equal base angles

69
Q

area of a parallelogram

A

A=bh

70
Q

rhombus
- area of a rhombus
- perimeter of a rhombus

A

a quadrilateral w 4 congruent sides
- A= d1d2/2
- P= 2 * sqrt of (d1)^2 + (d2)^2

71
Q

area of a circle
- circumference

A

A= pi(r^2)
- C= 2(pi)r

72
Q

mean

A

sum of the data values/quantity of data values

73
Q

median

A

value in the middle of a set of ordered data

74
Q

mode

A

the data that occurs the greatest number of times in a data set

75
Q

range

A

the difference between the greatest and lowest values of the data in the set

76
Q

describe what a left (negatively) skewed curve looks like
- right (positive) skewed?

A

curve is on the right side of the mean, bigger than the mean
- curve is on the left side of the mean, less than the mean

77
Q

uniform distribution

A

distribution where there is no distinct peak or variation in the data

78
Q

histogram

A

looks like a vertical bar graph. one continuous bar for each range of data, height of each column represents the number of data values within that range

79
Q

bivariate data

A

data from 2 diff variables

TEAS Math (1 decks)

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