PreWork

Question 1

What is a term?

Answer 1

One or more numbers and/or letters divided or multiplied together

Question 2

What is an expression?

Answer 2

One or more terms subtracted or added together

Question 3

What is a co-efficient?

Answer 3

The number part of a term

Question 4

What are like terms?

Answer 4

Terms which have exactly the same letter

Question 5

What is simplifying an expression?

Answer 5

Writing an expression in the simplest form (i.e. combining like terms)

Question 6

Why are 3yx and 8xy like terms?

Answer 6

Because they have the exact same letters

Question 7

What are positive powers?

Answer 7

Multiplying a term by itself (x) amount of times. (x) = positive power

Question 8

How do you multiply powers?

Answer 8

If the bases are the same you add the powers together

Question 9

How do you divide powers?

Answer 9

If the bases are the same you subtract them

Question 10

How you work out the powers of powers?

Answer 10

You multiply the powers together

Question 11

How do you multiply terms?

Answer 11

Multiply the coefficents and then multiply the letters by adding their powers

Question 12

What is BODMAS?

Answer 12

Oder of operations. Brackets, Order of Powers or Roots, Division, Multiplication, Addition, Subtraction

Question 13

When a value is multiplied by a power, what takes precendece? I.e. 10a^4

Answer 13

The power takes precedence i.e. 10 times (a^4)

Question 14

What can expanding brackets also be called?

Answer 14

Multiplying out brackets

Question 15

How do you expand brackets with one term outside the brackets?

Answer 15

Multiply the terms outside the brackets by each term within the brackets

Question 16

What is factorising an expression?

Answer 16

It is the opposite of expanding the brakets

Question 17

How do you factorise an expression?

Answer 17

You take the largest common factor of each term in the expression and bring the LCF outside the brackets. Then you find what term the LCF needs to be multiplied by to get to the term in the original expression.

Question 18

How do you check if the expression has been factorised?

Answer 18

By expanding the brackets and getting the same expression as the original expression

Question 19

How do you know if the expression has not been fully factorised?

Answer 19

If the expression inside the bracket still has common factors

Question 20

How to find the negative power?

Answer 20

Work out as though the power was positive, then the reciprocal of the positive power is the answer

Question 21

What is a reciprocal?

Answer 21

Flipping the fraction

Question 22

What is a fractional power?

Answer 22

When a number is raised to the power of a fraction

Question 23

What is the formula for a fractional power with a 1 in the numerator?

Answer 23

a^(1/n) = n root of a

Question 23

What does a fractional power represent?

Answer 23

A root

Question 24

What is the formula for finding the root of a fractional power?

Answer 24

numerator = power denominator = root

Question 25

Which order is the fractional power calculated?

Answer 25

Either power or root

Question 26

Which is easier to calculate the power or the root?

Answer 26

Taking the root first is easier than taking the power first

Question 27

When a parenthesis is raised to a power what happens to each term inside?

Answer 27

Each term is raised to that power

Question 28

What to always check for on general?

Answer 28

Powers, further simplification, negative signs

Question 29

How do you calculate a fraction which is raised to a negative power?

Answer 29

1. Split the index into three parts 2. Raise the base to the three parts separately as powers

Question 30

What 3 parts can you split the negative fractional power into?

Answer 30

1. - 1 2. 1/the denominator 3. The numerator

Question 31

How would you split -5/2

Answer 31

-1(1/2)5

Question 32

What is 36^-1?

Answer 32

1/36