Unit 2 - Algebra Flashcards
What is expanding?
Taking the brackets out of an equation
What happens in single brackets when expanding?
The number/letter out side the bracket multiplies with everything in the bracket individually.
What method do you use to expand double brackets?
FOIL
What does FOIL stand for?
First
Outter
Inner
Last
What friends do double brackets expand into?
A quadratic equation
What is the quadratic equation format?
Nx2 +- Nx +- N
What do you do after you have FOILED the double brackets?
Simplify
What is factorising?
Putting the brackets back in
How do you tell what goes outside of the single brackets?
A number or letter that goes into all of the terms.
What are identities?
When two equation produce the same answers or equal to each other
How can you tell when the equation is factorised into double brackets?
When it fits into the format of:
X2 +- Nx +- x
How do you factorise into two brackets?
Look for two numbers that add to the middle number and multiply to the last number.
What is an equation?
When numbers and letters are used to display something.
In algebra, what happens when numbers and letters are next to each other?
They are multiplied.
What happens with a squared bracket?
Everything in the bracket is squared individually.
What is a term?
When any numbers or letters are together without a sign.
What is simplifying?
When terms are collected together.
What is an expression?
Something that contains numbers and letters, but no equal signs.
What is an equation?
A set of numbers and letters that does contain an equal sign.
What is an identity?
Something that is true for all numbers and letters.
What is a formula?
Has an equals sign and letter that represent different quantities.
What is the definition of a linear sequence?
A sequence that increases or decreases by the same amount each time.
How do you find he nth term of a linear sequence?
- Find the common difference.
- Write the common difference in front of the N.
- Take the common difference away from the first term.
- But this at the end of the Nth term.
How do decide if a term is in a linear sequence?
Do the nth term backwards.
If it is a whole number - then it is in the sequence.
What is a non-linear sequence?
A sequence that does not create a straight line on the graph.
What is a Fibonacci sequence?
The previous two terms are added to create the next term.
What is a geometric sequence?
A sequence where the numbers increase by a constant multiplier each time.
What is the format for the nth term for a sequence?
Ar to the power n.
A = first term.
R = contract multiplier.
What is a quadratic sequence?
When the difference between the differences is the same each time.
What is the first step to finding the nth term for a quadratic sequence?
find the difference between each of the terms, then find the difference between these.
What is the second step to finding the nth term for a quadratic sequence?
Divide the second common difference by two and put this in front on N2.
What is the third step to finding the nth term for a quadratic sequence?
Lay out in a table.
Find the difference between the N2 sequence and the original sequence.
