pre algebra Flashcards

(70 cards)

1
Q

natural #’s

A

1, 2, 3, ,4 ….

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2
Q

whole #’s

A

0, 1, 2, 3, …..

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3
Q

standard form

A

322

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4
Q

place value

A

position of digit in a number is called

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5
Q

period

A

group of three digits is called

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6
Q

expanded form

A

300 + 20 + 2

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7
Q

words used when adding

A

total, sum

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8
Q

words used when subtracting

A

difference

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9
Q

words used when multiplying

A

product, factor, of

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10
Q

words used when dividing

A

quotient

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11
Q

in words

A

three hundred twenty-two

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12
Q

commutative property

only in addition & multiplication

A

order of addition does not matter
4 + 8 = 8 + 4
9 * 2 = 2 * 9

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13
Q

associative property

only in addition & multiplication

A

grouping does not matter
(3+6) + 2 = 3 + (6+2)
(2 * 3) * 4 = 2 * (3 * 4)

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14
Q

multiplication property of zero

A

a * 0 = 0

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15
Q

multiplication property of 1

A

a * 1 = a

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16
Q

distributive property

A

6(4 + 5) = 6(4) + 6(5)

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17
Q

rounding

A

does not matter unless stated

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18
Q

area

A

a = length * width

don’t forget to square it!!

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19
Q

perimeter

A

sum of sides (length) added together

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20
Q

addends

A

’s that are being added

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21
Q

minuend

A
# you are subtracting from
first # in problem
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22
Q

subtrahend

A
# you are subtracting
after the subtraction sign
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23
Q

divisor

A
# in front of division bracket
# after the division sign
denominator
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24
Q

division property of 1

A

the quotient of any # (except 0) and that same # is 1

the quotient of any # and 1 is that same #

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25
division property of zero
quotient of 0 and any # (except 0) is 0 quotient of any # and 0 is not a # - undefined if 0 is in front of division bracket, 0 after division sign or 0 is the denominator
26
exponent
little number after base | number of times base is a factor
27
Order of Operations ~ alway work left to right ~
``` P: grouping symbols first E: exponents M: multiply D: divide A: add S: subtract ```
28
variable
a letter that represents a number and can change
29
constant
stays the same
30
algebraic expression
combination of operations on variables and #s all we do is evaluate expressions; exponents have to be the same to combine, coefficients can be different then it's simplified
31
equations
expression = expression | we solve
32
negative #s
numbers less than 0 | symbol is -
33
integers
..., -3, -2, -1, 0, 1, 2, , ...3
34
>
is greater than
35
is less than
36
absolute value
number's distance from 0 on the # line the symbol is | | always positive
37
opposites
two numbers that are the same distance from 0 on the # line but are on opposite sides of 0
38
sign stays the same
adding two number that have the same sign
39
change sign
adding different signs. subtract the smaller # from the larger # and keep sign of larger
40
opposite of a negative
is a positive
41
subtracting negatives
is adding and keeping the - sign
42
positive integers
if signs are the same | multiplying & dividing
43
negative integers
if signs are different | multiplying & dividing
44
addition property of equality
a = b a + c = b + c a - c = b - c
45
multiplication property of equality
a = b a * c = b * c a / c = b / c
46
average
sum of #s divided by # of #s
47
signed #s
positive, negative and 0
48
numerical coefficient
number factor of a variable term
49
term
addends of an algebraic expression
50
like terms
exact same terms, can have different numerical coefficients
51
us to meter
``` 10oz estimates 28 g 2.2 lbs estimates 1 kg 1 qt estimates 1 L 1 yd estimates 1 m 6.2 mi estimates 10 km ```
52
expressions
combine like terms, there is no = | variables with their components have to be the same, coefficients can be different
53
ratios
the quotient of two quantities
54
rates
compare different kinds of quantities
55
unit rate
a rate with a denominator of 1
56
proportions
states that two ratios are equal | cross multiply to see if true
57
square of a #
the # times itself
58
square root
reverse process of squaring | uses a radical sign
59
pythagorean theorem
length of the legs of right triangle equal the hypotenuse | all squared
60
congruent triangles
same shape and same size
61
similar triangles
same shape but not necessarily the same size
62
percent proportion
amount / base = percent
63
precent of increase
equals amount of increase / original amount
64
precent of decrease
equals amount of decrease / original amount
65
sales tax
equals tax rate * purchase price
66
total price
equals purchase price + sales tax
67
commission
equals commission rate * sale
68
amount of discount
equals discount rate * original price
69
sale price
equals original price - amount of decrease
70
simple interest
I = P * R * T