Algebra 1 Final Exam – Flashcards
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positive numbers
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numbers greater than zero
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negative numbers
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numbers less than zero
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natural numbers
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numbers that are part of the set {1, 2, 3, ...}
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whole numbers
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numbers that are part of the set {0, 1, 2, ...}
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integers
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numbers that are part of the set {..., -3, -2, -1, 0, 1, 2, 3, ...}
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rational numbers
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numbers that can be expressed in the form a/b, where a and b are integers and b is not zero
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square root
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one of two equal factors of a number
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perfect square
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a number that has a square root that is a rational number
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irrational numbers
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numbers that cannot be expressed as terminating or repeating decimals, or as a rational number
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real numbers
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the set of all rational and irrational numbers
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absolute value
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the distance of a number from zero
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opposites
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two numbers with the same absolute value but different signs
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additive inverses
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a number and its opposite
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The product of two positive numbers is a ______
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positive
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The product of two negative numbers is a _____
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positive
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The product of a positive and a negative is a ____
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negative
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reciprocals
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two numbers whose product is 1
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multiplicative inverse
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also known as reciprocal
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percent
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a ratio that compares a number to 100
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circumference
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the distance around a circle
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algebraic expression
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a combinations of numbers, variables, and operations
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variables
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symbols used to represent an unknown value
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factors
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the quantities being multiplied in a multiplication expression
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product
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the result of a multiplication expression
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exponent
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the number of times within a power that a number is used as a factor
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base
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the factor within a power
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sum
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addition
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difference
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subtraction
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quotient
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division
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order of operations
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Parenthesis, exponent, multiplication, division, addition, subtraction
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equivalent expressions
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expressions that represent the same number
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additive identity
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the sum of any number and zero is equal to the number
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multiplicative identity
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the product of any number and one is equal to the number
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multiplicative property of zero
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the product of any number and zero is equal to zero
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commutative property of addition
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the order in which you add numbers does not change their sum
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commutative property of multiplication
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the order in which you multiply numbers does not change their product
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associative property of addition
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the way in which you group three or more numbers when adding does not change their sum - a + (b + c) = (a + b) + c
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associative property of multiplication
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the way in which you group three or more numbers when multiplying does not change their product - a (bc) = (ab) c
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distributive property
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a (b + c) = ab + ac
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like terms
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terms that contain the same variables, with corresponding variables having the same power
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simplest form
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an expression that contains no like terms and no parenthesis
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coefficient
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the numerical factor of a term
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solution
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the value for a variable that makes an equation true
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coordinate plane
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a system formed by the intersection of two number lines
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y-axis
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the vertical number line in the coordinate plane
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x-axis
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the horizontal number line in the coordinate plane
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origin
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the point where the two number lines intersect in the coordinate plane
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ordered pair
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a set of numbers that represent a point on the coordinate plane
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x-coordinate
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the horizontal value of a point on the coordinate plane
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y-coordinate
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the vertical value of a point on the coordinate plane
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relation
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a set of ordered pairs
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domain
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the set of x-coordinates in a relation
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range
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the set of y-coordinates in a relation
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function
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a relation in which each element of the domain is paired with exactly one element of the range
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y-intercept
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the point at which a graph intersects the y-axis
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x-intercept
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the point at which a graph intersects the x-axis
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end behavior
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describes the values of a function at the positive and negative extremes in its domain
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equivalent equations
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two equations with the same solution
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addition property of equality
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adding the same number to both sides of an equation results in an equivalent equation
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subtraction property of equality
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subtracting the same number from both sides of an equation results in an equivalent equation
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multiplication property of equality
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multiplying both sides of an equation by the same number results in an equivalent equation
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consecutive integers
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integers in counting order, such as 4, 5, 6.
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ratio
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a comparison of two numbers by division
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proportion
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an equation stating that two ratios are equal
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linear equation
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an equation that forms a line when it is graphed
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slope
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the rate of change of a linear equation
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parallel lines
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lines with the same slope
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perpendicular lines
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lines with negative reciprocal slopes
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inequality
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two expression compared by an inequality symbol
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a monomial has ______ term(s)
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one
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constant
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a monomial that is a real number with no variables
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to multiply two powers that have the same bases.....
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add their exponents
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to divide two powers that have the same bases.....
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subtract their exponents
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to find the power of a power.....
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multiply the exponents
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polynomial
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the sum of monomials
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binomial
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the sum of two monomials
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trinomial
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the sum of three monomials
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to multiply two binomials
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FOIL
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parabola
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the graph of a quadratic function
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axis of symmetry
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the central line about which a parabola is symmetric
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vertex
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the point that a parabola intersects its axis of symmetry, the minimum or maximum
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the solution to a quadratic equation is.....
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the x-intercepts
