Algebra

Question 0

Simultaneous equation steps:

Answer 0

1. If signs are the same subtract, otherwise add them together. Objective is to get rid of one of the unknowns, so you may have to multiply/divide etc.
2. Cancel down equation until you are left with the answer to one unknown.
3. Substitute it into one of the original equations, solve it for the other unknown.
4. Write answer as (x, y) where x and y are the answers.

Question 1

Definitions and examples of following:
Expression
Identity
Equation
Formula

Answer 1

1. Does not have an = sign e.g. 4m - n
2. True for all values of that letter e.g. 4m = 5m - m
3. Can be solved e.g. 5m = 2 + m
4. Must have at lest 2 letters and an = sign e.g. n = 5m + 2

Question 2

Straight line graphs:
What does each letter mean?
y = mx + c

Answer 2

y = 2nd number in coordinate
m = gradient
x = 1st number in coordinate
c = y intercept

Question 3

Working out gradient:

Answer 3

Difference in y / Difference in x = gradient

Question 4

Quadratic equation labelling:
Highest point on graph
Point/s that intercept x axis

Answer 4

1. Turning point

2. Roots

Question 5

Cross multiplication:

a/b = c/d

Answer 5

ad = bc