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88 Cards in this Set

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