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the number, variable, or expression in a power that is multiplied by itself a number of times indicated by the exponent |
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the number, variable or expression in a power that indicates how many times the base is multiplied by itself |
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an expression composed of a base and an exponent |
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the result of multiplying expressions |
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the result of dividing one expression by another |
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a combination of numbers, variables and operators--but no equal sign |
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a mathematical sentence built from expressions using one or more equal signs |
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to use the rules of arithmetic and algebra to rewrite an expression as simply as possible |
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to replace each value of a variable in an expression or equation with another expression |
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to substitute numerical values for all variables in an expression and then compute the value of the expression |
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property that states that the order in which two numbers are added or multiplied does not change their sum or product |
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an expression by which you can divide another expression without leaving a remainder |
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a natural number, the opposite of a natural number, or 0 |
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a number written as a product of two factors—a number from 1 to 10, including 1 but not including 10, and a power of 10. |
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a function of the form y = a•xb in which a base number is raised to a variable exponent. |
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a situation modeled by the formula A = P•rt
or A = P (1 + r)t in which r or 1 + r is greater than 1 |
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a situation modeled by the formula A = P•rt
or A = P(1 + r)t in which r or 1 + r is less than 1 |
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an algebraic expression that is either a constant, a variable, or a product of a constant and one or more variables. |
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a number that is multiplied by a variable. |
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property that states that for all numbers a, b, and c:
a(b + c) = ab + ac and (b + c)a = ba + ca,
and a(b - c) = ab - ac and (b - c)a = ba – ca. |
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Definition
An expression made up of one or more terms combined by the operations of addition and subtraction. Each term consists of a constant multiplied by whole-number powers of variables.
Examples
3x2 + 2x + 7
x4 + 5
xy + 3x + 4y + 12 |
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a one-term polynomial
Examples
2n
x3
ab |
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a two-term polynomial
Examples
2ab2 − 8ab
x + 5
ab + ac |
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a three-term polynomial
Examples
x2 + 3x +2
a2b + ab2 + 12
3 − 2x − 1x2 |
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the highest power of a variable in a polynomial |
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a term used to refer to a 2nd-degree polynomial |
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a term used to refer to a 3rd-degree polynomial |
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a term used to refer to a 4th-degree polynomial |
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A number or polynomial that is multiplied by another number or polynomial to form a product. To __________ a polynomial is to rewrite it as a product of two or more other polynomials. |
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a number that results when you multiply a natural number by itself |
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an expression that contains a square root |
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a number you multiply by itself to get the first number |
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A value of x that results in a y value of 0. On a graph of the function the zeros will be x-intercepts. |
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the mathematical property that states that if the product of two or more expressions is equal to zero, then at least one of the expressions must equal zero |
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