Algebra

Question 1

How do you expand single brackets?

Answer 1

Example: 4 (a+1)
4a=4a
41=4
=4a+4

Question 2

How do you expand double brackets?

Answer 2

Example:(x+2)(x+3)
Xx=x^2
X3=3x
2x=2x
23=6
=x^2+3x+2x+6
=x^2+6x+6

Question 3

What is an equation?

Answer 3

Example :5𝑥 + 2 = 47
An equation is formed when two expressions have the same value for some unknown algebraic term.

Question 4

What is an expression?

Answer 4

Example:3𝑥 + 2
An expression is a collection of numbers, algebraic terms and operations describing one or multiple calculations.

Question 5

What is a formula?

Answer 5

Example:𝑃 = 2(𝑙 + 𝑤)
A formula is a collection of numbers, algebraic terms and operations describing how to find the value of a specific variable.

Question 6

What is an identity?

Answer 6

Example:7(𝑥 − 3) ≡ 7𝑥 − 21
An identity is two expressions that are always equal in value.

Question 7

How do you add and subtract indices?

Answer 7

Example: 7𝑝^3 + 4𝑝3 − 2𝑝^3 = 9𝑝^3
You add or subtract the base

Question 8

How do you divide and multiply by indices?

Answer 8

Example: 𝑎^4 × 𝑏^2 × 𝑏^5 × 𝑎 ≡ 𝑎^5𝑏^7
𝑥^𝑎 × 𝑥^𝑏 ≡ 𝑥^𝑎+𝑏
You add the base and the indices with the same letter
Example: 15𝑦^14 ÷ 5𝑦^3 ≡ 3𝑦^11
𝑥^𝑎 ÷ 𝑥^𝑏 ≡ 𝑥^𝑎−𝑏
You subtract the base and the indices with the same letter

Question 9

What is the equation for a straight line?

Answer 9

𝑦 = 𝑚𝑥 + 𝑐
Y is the y axis
X is the x axis
M is the gradient
C is the y axis intercept

Question 10

What does term to term rule mean?

Answer 10

Tells you how a sequence changes from one term to the next

Question 11

What does the position to term rule mean?

Answer 11

This tells you how any term in a sequence is generated