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Math Terms > Grade 8 Number Properties and Algebraic Terms > Flashcards

Grade 8 Number Properties and Algebraic Terms Flashcards

(59 cards)

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1
Q

1-Step Equations

A

identify inverse operation to isolate variable

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2
Q

2-Step Equations

A

first add/subtract, then multiply/divide to isolate variable

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3
Q

Absolute value

A

the distance of an integer from 0

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4
Q

Addend

A

A number which is involved in addition. Numbers being added are considered to be the addends.

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5
Q

adding or subtracting fractions

A

requires the denominators be the same

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6
Q

Addition with integers

A

if sign is the SAME – add absolute values and keep the sign

if the sign is DIFFERENT – subtract absolute values and keep the sign of the larger absolute value

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7
Q

Associative property of addition

A

changing the grouping of addends

changing the grouping of terms will not change the sum

(a + b) + c = a + (b + c);

(5+3) + 1 = 5 + (3 + 1)

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8
Q

Associative property of multiplication

A

changing the grouping of factors

States that changing grouping of factors does not change the product.

(a*b)c = a(b*c)

(2 * 6) * 7 = 2 * (6 * 7)

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9
Q

Base and Exponent

A

The exponent is the number that indicates how many times the base is used as a factor: 4 X 4 X 4 = 4 cubed, 4 is the base; 3 is the exponent.

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10
Q

Calculations with exponents

A

a^n = aaaa…a (n times)
a^0 = 1
a^-n = 1/a^n
a^½ = √a
a^x * a^y = a^x+y
a^x/a^y = a^x-y
(a^x)^y = a^xy
(ab)^x = a^x * b^x
(a/b)^x = a^x/b^x

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11
Q

Coefficient

A

the number that is multiplied by variable(s)

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12
Q

Commutative property of addition

A

changing the order of addends

The property which states that two or more addends can be added or that two in any order without changing the sum.

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13
Q

Commutative property of multiplication

A

changing the order of factors

The property which states that two or more factors can be multiplied in any order without changing the product.

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14
Q

Difference

A

The amount by which one value is greater or smaller than another.

The result when numbers are subtracted.

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15
Q

Distance formula

A

Distance = rate times time

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16
Q

Distributive Property

A

multiplying grouped terms by a factor

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses,

such as a(b + c) = ab + ac;

ex: 4(3 + 8) = 4(3) + 4(8)

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17
Q

dividing fractions

A

rewrite the first fraction, write a multiplication sign, write the reciprocal of the second fraction, multiply the fractions

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18
Q

Equation

A

equivalent expressions

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19
Q

Expanded form of a number

A

a number that is expressed as the sum of multiples of ten

example 643 = (6x100)+(4x10)+(3x1)

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20
Q

Exponential Notation

A

a number written as a base and exponent

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21
Q

Expression

A

a phrase made up of one or more numbers, variables, and operations

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22
Q

Factor

A

any of the numbers (or symbols) that form a product when multiplied together

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23
Q

Factorial

A

product of an integer and all smaller positive integers

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24
Q

fraction

Study These Flashcards
A

relationship of a part to a whole

numerator: represents the part
denominator: represents the whole

25
Function
relationship between two variables, can have only one x-value correspond to only one y-value
26
Identity property of 0
adding zero The sum of a number and zero is always that number.
27
Identity property of 1
multiplying 1 The property which states that multiplying a number by 1 does not change the number's value
28
inequality graphing hints
solid dot means equal to hollow dot is not equal to lines to the left mean less than lines to the right mean greater than READ CAREFULLY the lines between two dots
29
Integers
all positive and negative whole numbers negative integers are to the left of zero, smaller negative integers are further from zero positive integers are to the right of zero, larger positive integers are further from zero
30
Interest formula
Interest = principal times rate times time
31
Like Terms
Expressions that contain the same variables to the same power
32
Linear Equation
An equation whose solutions form a straight line on a coordinate plane; example: y = 3x - 1
33
Multiplication and Division with integers
count the number of negative integers if there are an even number of negative integers, the product or quotient will be positive if there are an odd number of negative integers, the product of quotient will be negative
34
multiply or divide mixed numbers
before you multiply or divide mixed numbers, rewrite them as improper fractions
35
multiplying fractions
multiply the numerators for your new numerator, multiply the denominators for your new denominator, then simplify the product
36
Opposites
two numbers that have the same absolute value but have different signs
37
Order of Operations
working left to right repeatedly: Parentheses, Exponents; then Multiplication, Division; then Addition, Subtraction
38
perfect square
a number that has a whole number for a square root ex: 9, 16, 121
39
prime number
A whole number that has exactly two factors, 1 and itself.
40
Product
a quantity obtained by multiplication; the answer to a multiplication problem
41
proportion
relationship between two equivalent ratios
42
quadrants
The x- and y-axes divide the coordinate plane into four regions. Each region is called a quadrant. I (x, y) II (-x, y) III (-x, -y) IV (x, -y)
43
Quotient
The result after numbers and/or variables are divided
44
Rate of change positive and negative
slope of a line: change in y value related to change in x value ratio that represents amount of something per time unit
45
ratio
a relationship between two amounts
46
Rational Number
A number that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; examples: 6 can be expressed as 6/1; 0.5 can be expressed as 1/2.
47
Rational number
a number that can be expressed as a fraction, including integers
48
Real Number
all rational or irrational numbers; real numbers can be represented on the real number line
49
Reciprocal
one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; a fraction that has been flipped. The reciprocal of 3/4 is 4/3.
50
Repeating Decimal
A decimal in which one or more digits repeat infinitely; The repeating portion of the decimal is shown with a short line drawn over the repeating numbers.
51
Scientific Notation
a standardized way of writing very large or very small numbers example 35,100,000,000,000 = 3.51 x 10^13
52
Sequence
An ordered list or numbers; example: 2,4,6,8,10...
53
special fraction information
fractions with a denominator of 1 are equivalent to the numerator fractions with a numerator of 1 cannot be simplified fractions with a numerator of 0 equal 0 fractions with a denominator of 0 are undefined because there is no such thing as “part of nothing”
54
Square Root
a number that must be multiplied by itself to equal a given number
55
Subtraction with integers
change the subtraction sign to addition AND the sign of the second number follow the guidelines for addition
56
Sum
The result after numbers and/or variables are added
57
Total Amount formula
Total Amount earned = principal + interest
58
Variable
a letter that can be replaced with any number from a set a quantity that varies or changes according to certain circumstances a placeholder for any value
59
y = mx+b
m is the slope of the line (change in y over change in x) b is the y-intercept

Math Terms (9 decks)

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