Chapter 1: Equations and Inequalities
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43 Terms
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variable
symbols, usually letters, that represent unknowns (i.e
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algebraic expression
an expression that contains at least one variable (i.e
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order of operations
used to solve expressions and equations, used to solve for variables
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Step 1
evaluate expressions inside grouping symbols
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Step 2
evaluate all powers
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Step 3
multiply and/or divide from left to right
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Step 4
add and/or subtract from left to right
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monomial
an algebraic expression that is composed of a number, a variable, or the product of a number and a variable (i.e
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constants
monomials that contain no variables (i.e
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coefficient
the numerical part of a monomial with a variable (i.e
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degree
the sum of the exponents of the variables in a monomial (i.e
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polynomial
a monomial OR a sum of monomials
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terms
the monomials that make up a polynomial (i.e
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like terms
terms that can be combined (i.e
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trinomial
three unlike terms (i.e
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x^2 + 3x
1, none of the terms can be combined)
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binomial
two unlike terms (i.e
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formula for the area (A) of a trapezoid
A = 1/2 h(b1 + b2), where h is the height, and b1 and b2 are the lengths of the bases
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variable
symbols, usually letters, that represent unknowns
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algebraic expression
an expression that contains at least one variable
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order of operations
used to solve expressions and equations, used to solve for variables
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monomial
an algebraic expression that is composed of a number, a variable, or the product of a number and a variable
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constants
monomials that contain no variables
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coefficient
the numerical part of a monomial with a variable
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degree
the sum of the exponents of the variables in a monomial
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power
an expression with the form x^n - also used to refer to the exponent itself
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polynomial
a monomial OR a sum of monomials
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terms
the monomials that make up a polynomial
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like terms
terms that can be combined
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trinomial
three unlike terms
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binomial
two unlike terms
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formula
a mathematical sentence that expresses the relationship between certain quantities
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real numbers
numbers that correspond to exactly one point on the number line, every point represents
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rational numbers
a number that can be expressed as a ratio, where the numerator and denominator are integers, and the denominator is NOT zero
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irrational numbers
a number that cannot be expressed as a ratio
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open sentence
a mathematical sentence with one or more variables
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equation
a mathematical sentence that sets two expressions equal to each other
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solution
whenever a variable is replaced by a number
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absolute value
the distance of a number from 0 on a number line, represented by |x|
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empty set
solution set of an equation with no solution set
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compound inequality
two inequalities joined by the word and or the word or
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intersection
the set of elements common to two sets, the graph of a compound inequality containing and
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union
the set of elements belonging to one or more of a group of sets, the graph of a compound inequality containing or
Flashcards (107)