A number multiplied by a variable in an algebraic expression; a constant number that serves as a measure of some property or characteristic
Coordinate Plane (Coordinate Grid)
The plane formed by 2 number lines that intersect at their zero points dividing the plane into 4 quadrants; A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
all rational or irrational numbers; real numbers can be represented on the real number line
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.
(mathematics) 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.
a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity; in the expression 2x + 3, x is the variable
Order of Operations
the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction
Associative Property of Addition
changing the grouping of terms will not change the sum, (a + b) + c = a + (b + c); ex: (5+3) + 1 = 5 + (3 + 1)
Associative Property of Multiplication
States that changing grouping of factors does not change the product. (ab)c = a(bc); ex: (2 6) 7 = 2 (6 7)
Commutative Property of Multiplication
Changing the order of the factors does not change the product; for example 10 x 9 = 9 x 10; a b = b a
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)
Additive Identity Property of Zero
The Zero Property of Addition. Adding 0 to a number leaves it unchanged; ex: 67+0=67, 67+0=67
The operation which undoes an operation - the opposite operation: subtraction is the inverse of addition, addition is the inverse of subtraction; division is the inverse of multiplication, multiplication is the inverse of division, square root is the opposite of squaring a number
Specific form of representing ratios - examples - a/b or 2/3 (denominator cannot be zero)
any of the natural numbers (positive or negative) or zero; any of the set of whole numbers and their opposites
Fractions that name the same amount or part, 1/2 and 2/4 are equivalent fractions
Greatest Common Factor (GCF)
The largest common factor of two or more given numbers; The GCF of 27 and 45 is 9.
A fraction in which the numerator is greater than or equal to the denominator; examples: 5/5 or 7/4
Least Common Multiple (LCM)
The smallest number, other than zero, that is a multiple of two or more given numbers; The LCM of 10 and 18 is 90.
A number written as the product of its prime factors; examples: 10 = 2 • 5, 24 = 2^3 • 3 (^3 means the 3 is written smaller and to the upper right of 2).
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.
An input-output relationship that has exactly one output for each input; An equation written with two variables where only one output exists for each input; example: y = 2x +1
An equation whose solutions form a straight line on a coordinate plane; example: y = 3x - 1
The x- and y-axes divide the coordinate plane into four regions. Each region is called a quadrant.
any of the numbers (or symbols) that form a product when multiplied together; 3 is a factor of 9
the number obtained by division; the ratio of two quantities to be divided; the answer to a division problem
A diagram of an object in which the dimensions are in proportion to the actual dimensions of the object.
A method of measurement that uses formulas, similar figures, and/or proportions.