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Week 9
Week 9
56
Mathematics
Undergraduate 1
10/19/2007

Additional Mathematics Flashcards

 


 

Cards

Term
The expression being raised to a power is called
Definition
the base
Term
"Another word for ""power"" is"
Definition
exponent
Term
2 to the 5th power equals
Definition
32
Term
(-2) to the 4th power equals
Definition
16
Term
What do you do if you are combining 2 exponential expressions with the same base?
Definition
Combine the coefficients and copy the base (combine like terms)
Term
Why can't you combine two exponential expressions with different bases?
Definition
"If the bases are different, they cannot be combined because they are not like terms!"
Term
"If you are multiplying 2 exponential expressions with the same base, what do you do with the coefficients?"
Definition
"If you are multiplying 2 exponential expressions with the same base, you multiply the coefficients."
Term
"If you have a fraction involving exponents, which of Richards' Rules makes it easy?"
Definition
Love and Marriage
Term
"If you are multiplying 2 exponential expressions with the same base, what do you do with the base?"
Definition
"If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents."
Term
"If you are multiplying 2 exponential expressions with the same base, what do you do with the exponents?"
Definition
"If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents."
Term
"If you are dividing 2 exponential expressions, what do you do with the coefficients?"
Definition
Divide the coefficients
Term
"What is another word for the ""multiplicative inverse""?"
Definition
the reciprocal
Term
Raising an expression to -1 yields
Definition
the reciprocal
Term
"As soon as you see a negative exponent, think"
Definition
fraction
Term
The identity element for multiplication is
Definition
1
Term
Any number to the zero power equals
Definition
1
Term
"What does the ""quotient to a power rule"" tell us?"
Definition
"If a fraction is raised to a power, both the top and bottom of the fraction are raised to the power."
Term
A way of handling very large and very small numbers
Definition
scientific notation
Term
"In scientific notation, positive exponents mean"
Definition
big numbers
Term
"In scientific notation, negative exponents mean"
Definition
little numbers
Term
"In scientific notation, big numbers mean"
Definition
positive exponents
Term
"In scientific notation, little numbers mean"
Definition
negative exponents
Term
A term is a
Definition
"number, or the product of a number and one or more variables raised to a power."
Term
The coefficient is
Definition
the numerical factor of the term.
Term
Terms are separated by
Definition
+ and – signs that are not inside parentheses.
Term
A monomial is a
Definition
single term with exponents.
Term
A polynomial is a
Definition
monomial or the sum of monomials.
Term
A binomial has
Definition
two unlike terms.
Term
A trinomial has
Definition
three unlike terms.
Term
If a variable does not show an exponent
Definition
the exponent is understood to be 1.
Term
The degree of a term
Definition
is the sum of the exponents on the variables.
Term
The degree of a polynomial
Definition
is the highest degree of all the terms.
Term
A polynomial is in standard form if
Definition
it is written with the terms in descending order of exponents.
Term
To add polynomials
Definition
combine like terms.
Term
To subtract polynomials
Definition
distribute the minus and combine like terms.
Term
A polynomial function
Definition
is a function whose rule is a polynomial
Term
The degree of a polynomial function is
Definition
the largest exponent on the variable.
Term
To evaluate a polynomial function
Definition
substitute the value for the variable (birds’ nest)
Term
"Blah, blah, blah problems"
Definition
"If they give you a big long paragraph with a polynomial embedded in it, just fish out the polynomial and the value and solve it."
Term
Adding and subtracting polynomial functions
Definition
combine like terms
Term
The profit function is defined as
Definition
the total revenue minus the total cost.
Term
Multiplying a polynomial by a monomial is just
Definition
distributing
Term
Multiplying a binomial by a binomial is
Definition
really just double distributing
Term
Some people memorize double distributing as
Definition
F.O.I.L.
Term
"In F.O.I.L., the F stands for"
Definition
First
Term
"In F.O.I.L., the O stands for"
Definition
Outer
Term
"In F.O.I.L., the I stands for"
Definition
Inner
Term
"In F.O.I.L., the L stands for"
Definition
Last
Term
Multiplying a polynomial by a polynomial is usually easier to do if you
Definition
set it up like a regular multiplication of numbers problem
Term
Multiplying polynomials is easier than multiplying numbers because
Definition
you don't have to carry
Term
(a + b)(a - b)
Definition
a2 – b2
Term
(a + b)2
Definition
a2 + 2ab + b2
Term
(a - b)2
Definition
a2 - 2ab + b2
Term
"If you are evaluating the product of functions, you can either:"
Definition
multiply and then evaluate or evaluate and then multiply
Term
What are Strange Birds?
Definition
When you are asked to evaluate a polynomial function for an algebraic expression like Find f(x + 2)
Term
"If they ask you to evaluate f(x + 2), what do you do"
Definition
Put an (x + 2) everywhere there was an x
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