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42 Cards in this Set
- Front
- Back
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The point labeled 0 on a real number line is the origin
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Origin of a real number line
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the point on a number line that corresponds to a real number
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Graph of a real number
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the number that corresponds to a point on a number line
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Coordinate
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a number a is –a.
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Opposite
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any nonzero real number a is 1/a
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Reciprocal
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A set has the _______ property under a particular operation if the result is always an element of the set
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closure
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In addition of real numbers, the order in which the numbers are added can be changed. Also in multiplication of real numbers, the order in which the numbers are multiplied can be changed
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Commutative Property
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In addition of three or more real numbers, the grouping of the addends does not change the sum. In multiplication of three or more real numbers, the grouping of the factors does not change the product
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Associative Property
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In addition, adding zero to any real number a always results in a sum equal to a. In multiplication, multiplying any real number a by 1 always results in a product equal to a
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Identity Property
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The ________ _______ of real number is the opposite value of that number
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additive inverse
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In the real number system, the product of a number and a sum is equal to
the sum of the products of the number and each of the addends |
Distributive Property
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an expression that consists of numbers, operations, and
grouping symbols |
Numerical Expression
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the number in a power used as a factor
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Base of a power
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the number in a power that represents the number of times the base is used
as a factor |
Exponent
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an expression such as, which represents
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Power
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a letter used to represent one or more numbers
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Variable
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an expression involving variables
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Algebraic expression
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a mathematical representation of a real-life situation
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Mathematical model
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the parts of an algebraic expression that are added together
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Terms of an expression
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when a term is the product of a number and a power of a variable, the number is the coefficient of the power
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Coefficient
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terms that have the same variable part
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Like terms
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a term that has no variable part
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Constant term
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expressions that have the same value for all values of their variable(s)
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Equivalent algebraic expressions
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a statement that equates two equivalent expressions
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Identity
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a statement in which two expressions are equal
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Equation
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an equation that can be written in the form ax = b where a and b are constants and a ≠ 0
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Linear equation
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a number that makes the equation a true
statement when substituted for the variable |
Solution of an equation in one variable
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equations that have the same solutions
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Equivalent equations
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Add the same number to both sides:
if a = b, then a + c = b + c |
Addition Property of Equality
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Subtract the same number from both sides:
if a = b, then a – c = b – c |
Subtraction Property of Equality
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Multiply both sides by the same nonzero number:
if a = b and c ≠ 0, then ac = bc |
Multiplication Property of Equality
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Divide both sides by the same nonzero number:
if a = b and c ≠ 0, then a ÷ c = b ÷ c |
Division Property of Equality
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d = rt
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Distance
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P = a + b + c
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Perimeter of Triangle
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P = 2l + 2w
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Perimeter of Rectangle
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P = 4s
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Perimeter of Square
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A = 1/2bh
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Area of Triangle
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A = lw
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Area of Rectangle
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A = s^2
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Area of square
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A = 1/2(b1 + b2)h
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Area of Trapezoid
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A = (Pie)r^2
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Area of Circle
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C = 2(Pie)r
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Circumference of Circle
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