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MATH 25 Course Overview
Pre-Algebra
60
Mathematics
Undergraduate 1
03/06/2012

Additional Mathematics Flashcards

 


 

Cards

Term
MEAN
Definition
The average of a set of numbers.
Term
Calculate the MEAN
Definition
Add up all numbers in the problem and divide by how many you added together
Term
MEDIAN
Definition
The middle number in a set of ordered numbers
Term
Calculate the MEDIAN
Definition
Put the numbers in order and if there's an odd number of numbers, the middle number is the median. Otherwise, take the two numbers that are in the middle and find their mean.
Term
LIKE TERMS
Definition
Terms that have the EXACT same collection of variables
Term
LCD
Definition
Least Common Denominator (the LCM of the denominators)
Term
LCM
Definition
Least Common Multiple
Term
Coefficient
Definition
The number that is multiplied by a variable (i.e. 3 is the coefficient of 3x)
Term
RECIPROCAL
Definition
The result of flipping a fraction (i.e. the reciprocal of 2/3 is 3/2)
Term
TERM (MONOMIAL)
Definition
A collections of numbers and/or variables that are multiplied together (i.e. 3x + 4yz, 3x and 4yz are separate terms)
Term
FACTOR (n.)
Definition
Things that are multiplied together (i.e. In the term 4yz, 4, y, and z are the three factors of the term)
Term
MONOMIAL
Definition
A single term (i.e., 3x, 4y, 8qw)
Term
BINOMIAL
Definition
Two terms (i.e. 4x+7y, -9h+6R)
Term
TRINOMIAL
Definition
Three terms (i.e. -3D-5J+4, 2x+3y+6L)
Term
T/F: Division by 0 is okay.
Definition
FALSE (i.e. 4/0, -6/0)
Term
T/F: 0 divided by anything is 0.
Definition
TRUE (i.e. 0/3, 0/(-8))
Term
When dividing by a fraction you must ________.
Definition
First flip the second fraction (get its reciprocal) and then change the division to multiplication.
Term
ORDER OF OPERATIONS
Definition
PEMDAS
Parentheses
Exponents
Multiplications & Divisions
Additions & Subtractions
Term
In simplifying an expression, you always do it from ______ to ______.
Definition
Left, Right
Term
EXPRESSION
Definition
Something WITHOUT an equal sign
Term
EQUATION
Definition
Something WITH an equal sign
Term
When multiplying 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
Positive
Term
When multiplying 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
Negative
Term
When dividing 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
Positive
Term
When dividing 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
Negative
Term
When adding 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
Sometimes (i.e.3+6=+9 but -3+(-6)=-9)
Term
When subtracting 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
Sometimes (i.e. 3-2=+1 but -3-(-2)=-1
Term
T/F: -9+(-5)=-4
Definition
False, the answer is -14
Term
T/F: -13-28=15 or -15
Definition
False, the answer is -41
Term
T/F: The square root of -16 has no real number solution
Definition
True, negative numbers do not have real number square roots
Term
How many terms are in the expression?
-2x+3y-4xyz
Definition
3, Remember that addition and subtraction separate terms.
Term
T/F: The following terms are NOT like terms.
3xyz, -2.5yzx
Definition
False, they have the same variables
Term
NUMERATOR
Definition
The top of a fraction
Term
DENOMINATOR
Definition
The bottom of a fraction
Term
Before you cancel a factor out of the top and the bottom of an algebraic expression, you must first be able to _________.
Definition
FACTOR out of the top and the bottom whatever it is you wish to cancel.
Term
PER means _____.
Definition
Divide
Term
When dividing by a fraction you must _________ the ________ fraction.
Definition
Flip (get the reciprocal), Second
Term
The only time you can cancel a factor between a pair of fractions is when the two fractions are being ___________.
Definition
Multiplied
Term
DEGREE OF A TERM (Monomial)
Definition
The sum of the exponents on the variables (i.e. -4xyz has degree 3, 15xQ^5 has degree 6)
Term
DEGREE OF A POLYNOMIAL
Definition
Find the degree of each term and whichever one is the biggest is the degree of the entire polynomial.
Term
When you add or subtract, you must have _________.
Definition
Like Terms
Term
When you add or subtract fractions, you must have ___________.
Definition
Common denominators AND like terms
Term
T/F: The sign in front of a number (just to the left of it) stays with that number.
Definition
True
Term
PRIME NUMBER
Definition
A number that can only be divided by 1 and itself.
Term
COMPOSITE NUMBER
Definition
A number that can be divided by at least 1 other integer besides 1 and itself
Term
INTEGER
Definition
A number in the following set:
...,-3,-2,-1,0,1,2,3,...
Term
GCF
Definition
Greatest Common Factor
Term
GREATEST COMMON FACTOR
Definition
The largest integer that divides into both numbers (i.e. The GCF of 16 and 24 is 8)
Term
LEAST COMMON MULTIPLE
Definition
The smallest integer that both numbers divide into (i.e. The LCM of 6 and 16 is 32)
Term
PERIMETER
Definition
The sum of all sides (i.e. the distance around an object or shape)
Term
AREA
Definition
How much space there is on a surface (i.e. how much space on a wall or on a table)
Term
VOLUME
Definition
How much room there is inside of something (i.e. inside a box or a freezer)
Term
When plugging a number into an expression, it's a good idea to put ________ around the number.
Definition
Parentheses
Term
LINEAR EXPRESSION
Definition
An expression whose highest power of x is 1
Term
"Twenty less than a number" translates into___________.
Definition
x-20 (NOTE: The answer is NOT 20-x)
Term
COMPLIMENTARY ANGLES
Definition
Angles that add up to 90 degrees
Term
SUPPLEMENTARY ANGLES
Definition
Angles that add up to 180 degrees
Term
The angles of a triangle always add up to _______.
Definition
180 degrees
Term
When doing operations on mixed numbers it is a good idea to first _________.
Definition
Convert all mixed numbers to improper fractions
Term
T/F: When evaluating the square root of a fraction you MUST first rewrite the problem as the square root of the numerator divided by the square root of the denominator.
Definition
False, you can do that but you don't have to
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