Question: Variable
Answer: A variable is an alphabetic character representing a number
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Question: Algebraic expression
Answer: An algebraic expression built up from constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
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Question: Equation
Answer: A formula of the form A = B, where A and B are expressions that may contain one or several variables called unknowns, and “=” denotes the equality binary relation or an equation
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Question: Open sentence
Answer: A mathematical sentence that contains one or more variables is sometimes called an open sentence.
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Question: Simplify
Answer: To reduce mathematical expression to simpler terms or simplify : to convert a mathematical expression such as a fraction or equation to a simpler form by removing common factors or regrouping elements
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Question: Exponent
Answer: A mathematical notation that implies the number of times a number is to be multiplied by itself is called an exponent.
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Question: Base
Answer: In an expression of the form xy, x is the base. The base x is a factor that repeats y times
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Question: Power
Answer: an Exponent tells how many times a number is multiplied by itself and its raised to a power.
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Question: Evaluate
Answer: The process of replacing the variables in an expression with the numerical values and simplifying it is known as evaluating an algebraic expression
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Question: Identity
Answer: An equation which is true for every value of the variable and defines its identity
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Question: Consecutive Integers
Answer: One after the other where integers are consecutive
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Question: Uniform motion
Answer: A body is said to be in uniform motion if it moves in a straight line at constant speed
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Question: Formula
Answer: An expression or equation that expresses the relationship between certain quantities in a formula
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Question: Distributive Property
Answer: The product of a number and a sum is equal to the sum of the individual products of the addends and the number and its disributed
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Question: Term
Answer: A mathematical expression which may form a separable part of an equation, a series, or another expression, or term
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Question: Constant
Answer: A number on its own, or sometimes a letter such as a, b or c to stand for a fixed number such as a constant
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Question: Coefficient
Answer: A term in an expression is the number which is multiplied by one or more variables or powers of variables in the term coefficent
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Question: Like Terms
Answer: Monomials that contain the same variables raised to the same powers. They can be combined to form a single term because they are like terms
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Question: Literal Equations
Answer: an equation where variables represent known values. Used to represent things like distance, time, interest, and slope very literal like Dan.
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Question: Inequaliy
Answer: A mathematical sentence that uses symbols such as <, ≤,=””>, or ≥ to compare two quantities, such as an inequality.
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Question: Compound Inequalities
Answer: two or more simple inequalities joined by the terms ‘and’ or ‘or’ called compound inequalities
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Question: Absolute Value
Answer: the magnitude of a real number,Absolute Value, without regard to its sign
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Question: Scientific Notation
Answer: A way of writing numbers that are too big or too small to be conveniently written in decimal form in a Scientific Notation
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Question: Slope
Answer: the measure of steepness of a line is it’s slope
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Question: Linear Equations
Answer: an equation of the form Ax + By = C, where A ≠ 0 and B ≠ 0. The graph of a linear equation is a straight line
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Question: y-intercept
Answer: The y-coordinate of the point where a line intersects the y-axis is the y-intercept of that line
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Question: x-intercept
Answer: The x-coordinate of the point where a line intersects the x-axis is the x-intercept of that line
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Question: Slope-intercept form
Answer: It is simply the way of writing the equation of a line in Slope-intercept form so that the slope(steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent
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Question: Standard form of a Literal Equation
Answer: an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable, Standard form of a Literal Equation.
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Question: Point Slope Form
Answer: Point Slope Form is the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line
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Question: Point Slope Form
Answer: lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch at any point are said to be parallel
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Question: Perpendicular Lines
Answer: Lines that are at right angles (90°) to each other and perpendicular
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Question: Negative Reciprocals
Answer: The result of taking the reciprocal of a number and then changing the sign resulting in a
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Question: Velocity
Answer: the speed of something in a given direction.Velocity
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Question: Relation
Answer: A set of input and output values, usually represented in ordered pairs, refers to a Relation.
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Question: Domain
Answer: Of a relation is the set of all x-coordinates of the ordered pairs of that relation.Domain
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Question: Range
Answer: The set of all output values or the y-values of a function is its Range
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Question: Function
Answer: a relationship or expression involving one or more variables.Function
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Question: Vertical Line Test
Answer: A test used to determine whether a relation is a function or not. A graph is said to be a function if the vertical line test passes
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Question: Function Rule
Answer: A function r is a relationship in math between two variables, often x and y, and for every value of x there is exactly one value of y. The x value is referred to as the independent variable and the y as the dependent variable.Function Rule
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Question: Function Notation
Answer: We write f (x) to mean the function whose input is x.Function Notation
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Question: Independent Variable
Answer: A variable in an equation, whose values make up the domain. Independent Variable
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Question: Dependent Variable
Answer: A variable whose value depends on the values of one or more independent variables.
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Question: Direct Variation
Answer: Two quantities are said to be in direct proportion (or directly variation), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
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Question: Constant of Variation
Answer: If a quantity x is proportional (directly) to another quantity y, then x is written as x = ky, where k is called the Constant of Proportionality(Constant of Variation).
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Question: Ratio
Answer: A comparison of two numbers is a Ratio
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Question: Proportion
Answer: An equation written in the form of a/b = c/d stating that two ratios are equivalent.Proportion
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Question: Unit Rate
Answer: The ratio of two measurements in which the second term is 1.Unit Rate
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Question: Weighted Average
Answer: A set of data is the sum of the product of each number in the set and its weight divided by the sum of all the weight is its Weighted Average
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Question: Arithmetic Sequence
Answer: a sequence in which each term is found by adding the same number to the previous term uses the formula a(sub)n=a(sub)1+d(n-1) Arithmetic Sequence.
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Question: Geometric Sequence
Answer: Geometric Sequence in which each term is found by multiplying the previous term by the same number. uses the formula a(r)to the power of (n-1)
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Question: Common Ratio
Answer: the ratio of a term in a geometric sequence with the previous term is Common Ratio
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Question: Recursive Formula
Answer: Recursive Formula Refers back to previous terms to determine the current term. The first term (or more) must be defined
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Question: Explicit Formula
Answer: finding the value of a term when you don’t know the preceding term; defines the nth term of a sequence as a function of n or Explicit Formula
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Question: Iteration
Answer: Process of a function composing itself immediately. Iteration
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Question: Sequence
Answer: A sequence of numbers in a specific order.
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Question: Inductive reasoning
Answer: A type of logic in which generalizations are based on a large number of specific observations.Inductive reasoning
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Question: Conjecture
Answer: An inference based upon guesswork; a supposition a Conjecture
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Question: Fibonacci Sequence
Answer: the infinite sequence of numbers(1,1,2,3,5,8,13,…);starting with the third terms, each number is the sum of the two previous numbers; it is named after the thirteenth century mathematical Leonardo Fibonacci
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Question: Exponential Function
Answer: A function that can be described by an equation of the form y= a*b^x, where b > 0 and b ≠ 1 is Exponential Function
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Question: Exponential Growth
Answer: Growth pattern in which the individuals in a population reproduce at a constant rate in its Exponential Growth
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Question: Growth Factor
Answer: 1 plus the percent rate of change for an exponential growth situation. Growth Factor
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Question: Compound Interest
Answer: Interests are compound earned on both the initial principal and the interest reinvested from prior periods
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Question: Interest Period
Answer: The length of time over which interest is calculated is its Interest Period
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Question: Decay Factor
Answer: the expression (1 - r) in the exponential decay model y = a(1 - r)t or Decay Factor
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Question: Systems of linear equations
Answer: Two or more equations that when graphed meet at a point in a Systems of linear equations
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Question: Solution of systems of linear equations
Answer: The solution to systems of linear equations will be either a point, no solution, or infinitely many solutions.Solution of systems of linear equations
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Question: substitution method
Answer: The substitution method is used to eliminate one of the variables by replacement when solving a system of equations, substitution method
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Question: Elimination Method
Answer: To solve a system of equations by elimination we transform the system such that one variable “cancels out” Elimination Method
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Question: Linear Inequality
Answer: an inequality which involves a linear function.
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Question: Systems of Linear Inequalities
Answer: a set of linear inequalities that you deal with all at once. Usually you start off with two or three linear inequalities. Systems of Linear Inequalities
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Question: Solution of System of Linear Inequality
Answer: The “solution” of the system is the region where all the inequalities are happy; that is, the solution is where all the inequalities work, the region where all three individual solution regions overlap. Solution of System of Linear Inequality
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Question: Real Numbers
Answer: a rational number or the limit of a sequence of rational numbers, as opposed to a complex number Real Numbers
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Question: Natural Numbers/Counting
Answer: the number 1 and any other number obtained by adding 1 to it repeatedly. Natural Numbers
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Question: Whole Numbers
Answer: Also called counting number. one of the positive integers or zero; any of the numbers (0, 1, 2, 3,…) Whole Numbers
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Question: Integers
Answer: one of the positive or negative numbers 1, 2, 3, etc., or zero. ex -8 Integers
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Question: Rational numbers
Answer: capable of being expressed exactly by a ratio of two integers. ex: ⅗ rational numbers
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Question: Irrational numbers
Answer: not capable of being expressed exactly as a ratio of two integers. ex: π Irrational numbers
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Question: Square root
Answer: a number that produces a specified quantity when multiplied by itself.: “7 is a square root of 49”
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Question: Cube Root
Answer: the number that produces a given number when cubed. ex: 327 3x3x3=27 3 is a cube root of 27
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Question: Degree of a monomial
Answer: The sum of the exponents of the variables of a monomial Degree of a monomial
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Question: Polynomial
Answer: A monomial or more than one monomials
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Question: Monomial
Answer: A number, a variable, or a product of a number and one or more variables Monomial
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Question: Standard form of a Polynomial
Answer: a polynomial that is written with the terms in order from greatest degree to least degree.
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Question: Degree of a Polynomial
Answer: The greatest of the degrees of its terms after it has been simplified Degree of a Polynomial
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Question: Binomial
Answer: A polynomial with two terms
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Question: Trinomial
Answer: A polynomial with three terms
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