Unit 2 - Algebra

Question 1

What is expanding?

Answer 1

Taking the brackets out of an equation

Question 2

What happens in single brackets when expanding?

Answer 2

The number/letter out side the bracket multiplies with everything in the bracket individually.

Question 3

What method do you use to expand double brackets?

Answer 3

FOIL

Question 4

What does FOIL stand for?

Answer 4

First
Outter
Inner
Last

Question 5

What friends do double brackets expand into?

Answer 5

A quadratic equation

Question 6

What is the quadratic equation format?

Answer 6

Nx2 +- Nx +- N

Question 7

What do you do after you have FOILED the double brackets?

Answer 7

Simplify

Question 8

What is factorising?

Answer 8

Putting the brackets back in

Question 9

How do you tell what goes outside of the single brackets?

Answer 9

A number or letter that goes into all of the terms.

Question 10

What are identities?

Answer 10

When two equation produce the same answers or equal to each other

Question 11

How can you tell when the equation is factorised into double brackets?

Answer 11

When it fits into the format of:

X2 +- Nx +- x

Question 12

How do you factorise into two brackets?

Answer 12

Look for two numbers that add to the middle number and multiply to the last number.

Question 13

What is an equation?

Answer 13

When numbers and letters are used to display something.

Question 14

In algebra, what happens when numbers and letters are next to each other?

Answer 14

They are multiplied.

Question 15

What happens with a squared bracket?

Answer 15

Everything in the bracket is squared individually.

Question 16

What is a term?

Answer 16

When any numbers or letters are together without a sign.

Question 17

What is simplifying?

Answer 17

When terms are collected together.

Question 18

What is an expression?

Answer 18

Something that contains numbers and letters, but no equal signs.

Question 19

What is an equation?

Answer 19

A set of numbers and letters that does contain an equal sign.

Question 20

What is an identity?

Answer 20

Something that is true for all numbers and letters.

Question 21

What is a formula?

Answer 21

Has an equals sign and letter that represent different quantities.

Question 22

What is the definition of a linear sequence?

Answer 22

A sequence that increases or decreases by the same amount each time.

Question 23

How do you find he nth term of a linear sequence?

Answer 23

1. Find the common difference.
2. Write the common difference in front of the N.
3. Take the common difference away from the first term.
4. But this at the end of the Nth term.

Question 24

How do decide if a term is in a linear sequence?

Answer 24

Do the nth term backwards.

If it is a whole number - then it is in the sequence.

Question 25

What is a non-linear sequence?

Answer 25

A sequence that does not create a straight line on the graph.

Question 26

What is a Fibonacci sequence?

Answer 26

The previous two terms are added to create the next term.

Question 27

What is a geometric sequence?

Answer 27

A sequence where the numbers increase by a constant multiplier each time.

Question 28

What is the format for the nth term for a sequence?

Answer 28

Ar to the power n.
A = first term.
R = contract multiplier.

Question 29

What is a quadratic sequence?

Answer 29

When the difference between the differences is the same each time.

Question 30

What is the first step to finding the nth term for a quadratic sequence?

Answer 30

find the difference between each of the terms, then find the difference between these.

Question 31

What is the second step to finding the nth term for a quadratic sequence?

Answer 31

Divide the second common difference by two and put this in front on N2.

Question 32

What is the third step to finding the nth term for a quadratic sequence?

Answer 32

Lay out in a table.

Find the difference between the N2 sequence and the original sequence.