Grade 7 Number Properties and Algebraic Terms Flashcards
Addend
A number which is involved in addition. Numbers being added are considered to be the addends.
Sum
The result after numbers and/or variables are added
Difference
The amount by which one value is greater or smaller than another.
The result when numbers are subtracted.
Factor
any of the numbers (or symbols) that form a product when multiplied together
Product
a quantity obtained by multiplication; the answer to a multiplication problem
Quotient
The result after numbers and/or variables are divided
Order of Operations
working left to right repeatedly: Parentheses, Exponents; then Multiplication, Division; then Addition, Subtraction
Expression
a phrase made up of one or more numbers, variables, and operations
Equation
equivalent expressions
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
1-Step Equations
identify inverse operation to isolate variable
2-Step Equations
first add/subtract, then multiply/divide to isolate variable
Function
relationship between two variables, can have only one x-value correspond to only one y-value
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
Expanded form of a number
a number that is expressed as the sum of multiples of ten
example 643 = (6x100)+(4x10)+(3x1)
fraction
relationship of a part to a whole
numerator: represents the part
denominator: represents the whole
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”
adding or subtracting fractions
requires the denominators be the same
multiply or divide mixed numbers
before you multiply or divide mixed numbers, rewrite them as improper fractions
multiplying fractions
multiply the numerators for your new numerator, multiply the denominators for your new denominator, then simplify the product
dividing fractions
rewrite the first fraction, write a multiplication sign, write the reciprocal of the second fraction, multiply the fractions
ratio
a relationship between two amounts
proportion
relationship between two equivalent ratios
Identity property of 0
adding zero
The sum of a number and zero is always that number.