# Middle Grades Math and Pre-Algebra

Math Vocabulary Study Words for 7th Grade GPS Math

## Terms

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- Fraction Form
- Specific form of representing ratios - examples - a/b or 2/3 (denominator cannot be zero)
- Product
- a quantity obtained by multiplication; the answer to a multiplication problem
- Factor
- any of the numbers (or symbols) that form a product when multiplied together; 3 is a factor of 9
- Linear Function
- A function whose graph is a straight line.
- Irrational Number
- a real number that cannot be expressed as a rational number
- Integer
- any of the natural numbers (positive or negative) or zero; any of the set of whole numbers and their opposites
- Variable
- 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
- Sequence
- An ordered list or numbers; example: 2,4,6,8,10...
- Quadrant
- The x- and y-axes divide the coordinate plane into four regions. Each region is called a quadrant.
- Exponent
- The number that indicates how many times the base is used as a factor
- 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.
- Scale
- the ratio between the size of something and a representation of it
- Numerical Expression
- An expression that contains only numbers and operations (2 • 3) + 1
- Additive Inverse
- (mathematics) one of a pair of numbers whose sum is zero
- Prime Factorization
- 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).
- Real Number
- all rational or irrational numbers; real numbers can be represented on the real number line
- Origin
- The point where the x-axis and y-axis intersect on the coordinate plane; (0, 0).
- Proportion
- statement that two fractions or ratios are equal
- Algebraic Expression
- math phrase that uses variables, numbers and operation symbols
- Constant
- a quantity that does not vary
- Numerical Expression
- A mathematical phrase involving one or more terms and operations
- 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.
- Coefficient
- A number multiplied by a variable in an algebraic expression; a constant number that serves as a measure of some property or characteristic
- Ratio Form
- Specific form of representing ratios - examples - a:b or 2:3
- 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)
- Scale Drawing
- A diagram of an object in which the dimensions are in proportion to the actual dimensions of the object.
- 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
- Reciprocal
- (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.
- Inverse Property
- 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
- Improper Fraction
- A fraction in which the numerator is greater than or equal to the denominator; examples: 5/5 or 7/4
- Indirect Measurement
- A method of measurement that uses formulas, similar figures, and/or proportions.
- Ratio
- A comparison of two quantities, may be directly represented by numbers and or variables
- Greatest Common Factor (GCF)
- The largest common factor of two or more given numbers; The GCF of 27 and 45 is 9.
- 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
- Multiple
- the product of a quantity by an integer; example 24 is a multiple of 3 and 8
- Ordered Pair
- A pair of numbers that can be used to locate a point on a coordinate plane.
- Similar
- same shape, but different size
- Commutative Property of Addition
- For any number a and b, a + b = b + a
- 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.
- 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
- Like Terms
- Expressions that contain the same variables to the same power
- Absolute Value of a real number or |x|
- The distance from zero to the real number on a number line.
- Verbal Ratio Form
- Specific form of representing ratios - examples - a to b or 2 to 3
- Distributive Property
- 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)
- Quotient
- the number obtained by division; the ratio of two quantities to be divided; the answer to a division problem
- Linear Equation
- An equation whose solutions form a straight line on a coordinate plane; example: y = 3x - 1
- Terminating Decimal
- A decimal number that ends or terminates; example: 6.75
- 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.
- Equivalent Fractions
- Fractions that name the same amount or part, 1/2 and 2/4 are equivalent fractions
- Variable
- Letter that represents a number; variable amounts may change
- Scale Factor
- The ratio of dimensions of the new image to those of the original figure
- Function
- 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
- Constant
- Numeric value that does not change
- Multiplicative Inverse
- The reciprocal of a number.
- Associative Property of Multiplication
- States that changing grouping of factors does not change the product. (a*b)c = a(b*c); ex: (2 * 6) * 7 = 2 * (6 * 7)