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15 Cards in this Set
- Front
- Back
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Algebra |
Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. |
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Algebraic Expressions |
An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x²− 2xy + c is an algebraic expression. |
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Monomial |
A polynomial equation with just one term. Example: 3x² |
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Binomial |
A polynomial equation with two terms usually joined by a plus or minus sign is called a binomial. Example: 3x + 4y |
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Trinomial |
A polynomial equation with three terms usually joined by a plus or minus sign is called a trinomial. Example: 3x + 4y - 5z |
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Polynomial |
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x² − 4x + 7. |
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Constant |
A constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants. |
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Variable |
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables. |
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Coefficient |
A coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. |
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Verification |
The process of making sure a solution is correct by making sure it satisfies any and all equations and/or inequalities in a problem. |
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Multiplicand |
A number that is to be multiplied by another (the multiplier). In the expression 5 × 3, the "3" is the multiplicand. |
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Factors |
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. |
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Products |
A product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 30 is the product of 6 and 5 (the result of multiplication). |
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Like terms |
They are terms, whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different. |
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Unlike terms |
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. |
