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Put together, combine, sum, more, increased |
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Minus, difference, less, how much more or less |
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Product, times, per, put together, equal groups
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Divided by, quotient, separate into equal groups, split, ratio
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an expression that contains at least one variable |
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a mathematical phrase that contains operations and numbers |
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terms that contain the same variables, with corresponding variables having the same exponent
EXAMPLES:
2x2 and -10x2
xy3 and -2xy3
-20 and 100
NOT Like Term Examples:
x2y and xy2
-2 and x
x3 and y3
x2 and x4
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Definition
a value that does not change |
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Definition
to find the value of an algebraic expression by substituting a number for each variable and simplifying by using the order of operations |
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a symbol or letter used to represent a quantity that can change |
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a value or values that make the equation or inequality true |
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an equation that contains two or more variables |
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an equation that is true for all values of the variables |
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a literal equation that states a rule for a relationship among quantities |
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a mathematical sentence that shows that two expressions are equivalent |
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Definition
a comparison of two numbers by division |
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an equation that states that two ratios are equal |
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two inequalities that are combined into one statement by the word and or or |
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a statement that compares two expressions by using one of the following signs: <, >, ≤, ≥, or ≠ |
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the set of all elements that are common to both sets, denoted by ∩ |
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solution of an inequality |
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a value or values that make the inequality true |
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Definition
the set of all elements that are in either set, denoted
by U |
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a type of relation that pairs each element in the domain with exactly one element in the range |
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Definition
a variable whose value depends on the value of the input, also known as the output of a function |
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a variable whose value determines the value of the output, also known as the input of a function |
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Definition
both sets of data values increase |
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Definition
one set of data values increases as the other set decreases |
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a measure of the strength and direction of the relationship between two variables or data sets |
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no relationship between the sets of values |
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a function whose graph forms a straight line |
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the x-coordinate of the point where a graph intersects the x-axis |
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the y-coordinate of the point where a graph intersects the y-axis |
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a ratio that compares the amount of change in the dependent variable to the amount of change in the independent variable |
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an equation that can be written in the form of
Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero, whose graph is a straight line |
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a measure of the steepness of a line |
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the difference in the y-values of two points on a line |
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the difference in the x-values of two points on a line |
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Definition
the constant k in a direct variation equation |
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Definition
a relationship between two variables, x and y, that can be written in the form , where k is a nonzero constant |
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Definition
lines in the same plane that do not intersect |
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lines that intersect at angles |
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Definition
the sum of the exponents of the variables in the monomial |
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the degree of the term of the polynomial with the greatest degree |
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a number or a product of numbers and variables with whole-number exponents, or a polynomial with one term |
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a monomial or a sum or difference of monomials |
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Definition
a polynomial with three terms |
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a polynomial with two terms |
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Definition
the coefficient of the first term of a polynomial in standard form |
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standard form of a polynomial |
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Definition
a polynomial where the terms are in order from greatest degree to least degree |
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difference of two squares |
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Definition
a polynomial of the form
a2 - b2, which may be written as the product
(a + b)(a - b) |
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Term
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Definition
a trinomial whose factored form is the square of a binomial and has the form or
a2 - 2ab + b2 = (a - b)2 or
a2 + 2ab + b2 = (a + b)2 |
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a rectangular arrangement of numbers in rows and columns |
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describes a matrix or the number of rows and columns, with the number of rows stated first |
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a number or constant that you can multiply a matrix by |
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Definition
when you multiply a matrix by a number, each element is multiplied by the number (or scalar) and a new matrix is formed. |
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Definition
a number, variable, or a product or quotient of numbers and variables |
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In an algebraic expression, the quantities being multiplied are called factors. |
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expressions or equations that equal the same value |
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Definition
a number of the form
a × 10n , where
1 ≤ a ≤ 10 and n is an integer |
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Definition
1. Evaluate expressions inside grouping symbols.
2. Evaluate all powers.
3. Do all multiplications and / or divisions from left to right.
4. Do all additions and / or subtractions from left to right. |
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the numerical factor of a term, in 2x3 the coefficient is 2. |
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Definition
A graph is discrete when one (or both) of the variables has discrete entries, its means that are entered number, without decimal part, so the graph has no continuity, the trace will be broken parts, not a single one.
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a continuous graph is a graph where both variables are continuous, it means that their field's are de Real number, so the trace it's a continuous line. |
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