## Algebra 1 AIMS

##### Created by:

bberkey  on October 22, 2009

phs-math dept

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# Algebra 1 AIMS

 algorithma set of step-by-step instructions for completing a task that can be generalized to other tasks, problems, or situations
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#### Definitions

algorithm a set of step-by-step instructions for completing a task that can be generalized to other tasks, problems, or situations
coefficients the number part of a term and variable combination
coincident lines or shapes that have all points in common
distance formula a general method or rule to measure the distance between two points that are identified by ordered pairs
domain of a function the set of values for the independent variable (input value) of a function
evaluate the use of one or more mathematical operations to calculate the value of an expression for a given input
expressions a mathematical phrase containing one or more terms linked by operation symbols
factor NOUN: the value that can be divided into another value with no remainder VERB: rewrite a number or polynomial as a product of numbers, simpler polynomials, or of polynomials and monomials
factorial the product of all integers from a given number down to the number one
function notation an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x
inequality a statement relating two or more quantities or values that are not equal using words or symbols (≠, <, >, ≤, ≥)
infinite set the set in which the number of elements cannot be counted
finite set a set of items or values that is limited to a countable number of elements
integers the set of real numbers consisting of the whole numbers and their opposites ... -2, -1, 0, 1, 2 ...
intercept the point at which a line or curve crosses a given axis
inverse opposite in nature or effect or relation to another quantity
irrational numbers a set of real numbers that cannot be expressed as a ratio of two integers. (i.e. ∏, or square root of 2)
linear equations an equation containing one or more terms in which the variable(s) is/are raised to the power of one but no higher
linear inequalities an inequality containing one or more terms in which the variable(s) is/are raised to the power of one but no higher
matrix a rectangular array of numbers or letters arranged in rows and columns
maximum the number with the greatest value in a set of numbers; the greatest vertical value in a graph
monomial an algebraic expression consisting of a single term that does not require any addition or subtraction (e.g., 5y)
permutation an ordered arrangement of a set of events or items
polynomial an expression containing more than one monomial connected by addition or subtraction
proportion the statement of equality between two ratios
quadratic equations a function in the form: f(x) = ax² + bx + c = 0, a≠0.
range the set of all possible output values for a function
ratio the relative magnitudes of two quantities (usually expressed as a fraction)
rational numbers a comparison of two quantities by division that can be expressed as: a to b, a/b , or a:b
real numbers the set of rational and irrational numbers
similar figures two or more figures that have the same shape and are related in size by a scale factor

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