Grade 7 Number Properties and Algebraic Terms Flashcards

1
Q

Addend

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Sum

A

The result after numbers and/or variables are added

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Difference

A

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

The result when numbers are subtracted.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Factor

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Product

A

a quantity obtained by multiplication; the answer to a multiplication problem

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Quotient

A

The result after numbers and/or variables are divided

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Order of Operations

A

working left to right repeatedly: Parentheses, Exponents; then Multiplication, Division; then Addition, Subtraction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Expression

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Equation

A

equivalent expressions

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Variable

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

1-Step Equations

A

identify inverse operation to isolate variable

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

2-Step Equations

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Function

A

relationship between two variables, can have only one x-value correspond to only one y-value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Rate of change

positive and negative

A

slope of a line: change in y value related to change in x value
ratio that represents amount of something per time unit

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Expanded form of a number

A

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

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

fraction

A

relationship of a part to a whole

numerator: represents the part
denominator: represents the whole

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

special fraction information

A

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”

18
Q

adding or subtracting fractions

A

requires the denominators be the same

19
Q

multiply or divide mixed numbers

A

before you multiply or divide mixed numbers, rewrite them as improper fractions

20
Q

multiplying fractions

A

multiply the numerators for your new numerator, multiply the denominators for your new denominator, then simplify the product

21
Q

dividing fractions

A

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

22
Q

ratio

A

a relationship between two amounts

23
Q

proportion

A

relationship between two equivalent ratios

24
Q

Identity property of 0

A

adding zero

The sum of a number and zero is always that number.

25
Identity property of 1
multiplying 1 The property which states that multiplying a number by 1 does not change the number's value
26
Commutative property of addition
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.
27
Commutative property of multiplication
changing the order of factors The property which states that two or more factors can be multiplied in any order without changing the product.
28
Associative property of addition
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)
29
Associative property of multiplication
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)
30
Distributive Property
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)
31
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
32
Absolute value
the distance of an integer from 0
33
Addition with integers
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
34
Subtraction with integers
change the subtraction sign to addition AND the sign of the second number follow the guidelines for addition
35
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
36
Rational number
a number that can be expressed as a fraction, including integers
37
Base and Exponent
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.
38
Square Root
a number that must be multiplied by itself to equal a given number
39
Calculations with exponents
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
40
Coefficient
the number that is multiplied by variable(s)
41
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
42
Factorial
product of an integer and all smaller positive integers