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88 Cards in this Set
- Front
- Back
A letter that stands for a number
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variable
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A mathematical phrase that uses variables, numerals, and operation symbols
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variable expression
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The agreed upon steps used to solve math problems.
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Order of Operations
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The steps of the order of operations (list)
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Please Excuse MyDear AuntSally
Parenthesis / grouping symbols Exponents Multiply / Divide (left to right) Add / Subtract (left to right) |
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To replace each variable in an expression with a number and then simplify by using the order of operations.
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Evaluate
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Numbers that are the same distance from zero on a number line, but one is positive and on is negative
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Opposites
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The grouping containing all whole numbers and their opposites
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Integers
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A number's distance from zero on the number line
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absolute value
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Making conclusions based on patterns you observe
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Inductive reasoning
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A conclusion you reach by inductive reasoning
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conjecture
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An example that proves a statement false
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counter example
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Formed by the intersection of two number lines
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Coordinate plane
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The horizontal line on a coordinate plane
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x axis
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The vertical line on a coordinate plane
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y axis
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The four "sections" of a coordinate plane
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quadrants
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(2,3): Gives the location of a point on a coordinate plane
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ordered pair
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(0,0) or where the two numberlines on a coordinate plane intersect
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origin
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The property that says when you add 0 to any number, the sum equals the original number
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additive identity
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5 + 0 = 0 (name the property)
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additive identity
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The property that says that when you multiply any number by 1, the product is equal to the original number
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multiplicative identity
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6 * 1 = 6 (name the property)
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multiplicative identity
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The property which says when adding a list of numbers you can change the order and not change the sum
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Commutative property of addition
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4 +5 + 6 = 4 + 6 + 5 (name the property)
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Commutative property of addition
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The property which states that when multiplying a list of numbers you can change the order and not change the product
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Commutative property of multiplication
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4xy = 4yx (name the property)
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Commutative property of multiplication
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The property which says that changing the grouping of the values you are adding does not change the sum
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Associative Property of Addition
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(a + b) + c = a + (b + c) (name the property)
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Associative Property of Addition
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The property which says that changing the grouping of the values you are multiplying does not change the product
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Associative Property of Multiplication
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The property which says that to multiply a sum or difference, multiply each number within the parentheses by the number outside the parentheses.
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Distributive Property
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3 ( 2+6) = 3(2) + 3(6) (name the property)
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Distributive Property
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A number or the product of a number and a variable
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term
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A term that has no variables
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Constant
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Terms which have identical variables
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Like Terms (example: 3x and x)
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A number that multiplies a variable
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coefficient
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When you replace an expression with an equivalent expression that has as few terms as possible
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Simplify
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The process of reasoning logically from given facts to a conclusion
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Deductive reasoning
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A mathematical sentence with an equal sign
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equation
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An equation with one or more variables
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open sentence
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A value for a variable tat makes an equation true
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solution
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To solve an equation, you want to get the variable alone. You do this by using______ _________ which undo each other
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inverse operations
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This property says that if you divide each side of an equation by the same nonzero number, the two sides remain equal
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Division property of Equality
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The property that says if you multiply each side of an equation by the same number the two sides remain equal
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Multiplication property of equality
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A mathematical sentence that contains >, <,
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inequality
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Any number that makes an inequality true
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solution of the inequality
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The rule for the Division Properties of inequality
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If you divide both sides by a positive number, you leave the inequality symbol unchanged. If you divide each side of an inequality by a negative number, you reverse the inequality symbol (flip the sign)
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The rule for the multiplication properties of inequality
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If you multiply each side of an inequality by a positive number, you leave the inequality symbol unchanged. If you multiply each side of an inequality by a negative number, you reverse the inequality symbol (flip the sign)
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Numbers that are easy to divide mentally
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compatible numbers
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When you have a set of data, you can find the __________________ to give a summary of the values. (mean, media, mode)
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Measures of Central Tendency
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The sum of the data values divided by the number of data values
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mean
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The middle number when the data values are written in order from least to greatest. If there is an even number of data values you must average the two middle numbers
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median
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The data item which occurs most often
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mode
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The difference between the greatest and least values in a set of data
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range
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The most appropriate measure of central tendency when the data is not numerical (no numbers)
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mode
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The most appropriate measure of central tendency when the data value is likely to have outliers
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median
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The most appropriate measure of central tendency when the data values are not likely to have outliers
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mean
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A data value that is much greater or less than the other data values
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outlier
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An equation which shows a relationship between quantities that are represented by variables
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formula
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The distance around a figure
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perimeter
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the formula for perimeter
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p = 2l + 2w
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the standard unit of length in the metric system
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meter
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the standard unit of mass in the metric system
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gram
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the standard unit of capacity in the metric system
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liter
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On integer is ______ by another number if the remainder is 0 when you divide.
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divisible
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The divisibility rule for 2
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A number is divisible by 2 if it ends in 0,2,4,6 or 8
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The divisibility rule for 5
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A number is divisible by 5 if it ends in 0 or 5
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The divisibility rule for 10
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A number is divisible by 10 if it ends in 0
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The divisibility rule for 3
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A number is divisible by 3 if the sum of the digits is divisible by 3
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The divisibility rule for 9
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A number is divisible by 9 if the sum of the digits is divisible by 9
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The divisibility rule for 4
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A number is divisible by four if the last two digits are divisible by 4
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The divisibility rule for 6
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A number is divisible by 6 if it is divisible by 2 and 3
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used to show repeated multiplication
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exponents
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made of two parts, a base and an exponent
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power
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If you write out the expression "x squared" - what the 2 would be
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exponent
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If you write out the expression "x squared" - what the x would be
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base
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An integer greater than 1 with exactly two positive factors, 1 and itself
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prime number
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An integer greater than 1 with more than two positive factors
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composite number
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When you write a composite number as a product of its prime factors in increasing order from left to right.
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prime factorization
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The largest value that two numbers have in common as factors
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GCF (Greatest Common Factor)
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Fractions which describe the same part of a whole
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equivalent fractions
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When the numerator and the denominator have no common factors other than 1 the fraction is in ______
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simplest form
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The grouping of numbers that includes all whole numbers, integers, and now any number that you can write as a quotient a ÷b where b is not 0
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Rational numbers
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The rule for multiplying powers with the same base
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add the exponents
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The rule for raising a power to a power
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multiply the exponents
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The rule for dividing powers with the same base
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subtract the exponents
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Any number with 0 as n exponent is equal to
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1
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When you see this type of exponent, you know that the base should be written on the bottom of a fraction
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negative
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A way to write very large or very small numbers by using powers of 10
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scientific notation
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If you write out the very large or very small numbers by simplifying the two products in scientific notation
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standard notation
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