Maths Methods Unit 1 Exam Inequalities - CORRECT ANSWER-On a number line: ≤ or ≥ uses a closed dot, or uses an open dot. Gradient of a Straight Line - CORRECT ANSWER-Can be positive/, negative, zero -, or undefined |. m=rise/run=(y_2

Maths Methods Unit 1 Exam
Inequalities - CORRECT ANSWER-On a number
line: ≤ or ≥ uses a closed dot, <or> uses an open
dot.

Gradient of a Straight Line - CORRECT
ANSWER-Can be positive/, negative\, zero -, or
undefined |. m=rise/run=(y_2-y_1)/(x_2-x_1 ) or
m=tanθ.

Linear Graphs - CORRECT ANSWER-General
form: y=mx+c. There are 2 methods: the
gradient/y-intercept method (plot c and then use
m to find another point), and the x/y method (find
and plot the x and y intercepts). On CAS use
'trace-graph trace' or 'trace-trace step'.

Simultaneous Linear - CORRECT ANSWER-Use:
substitution method (sub the first equation as its
subject in the second equation), or elimination
method (multiply to get the same co-efficient for
one pronumeral, then subtract one equation from
the other: 10x-4y=24 and 10x+45y=-25 ∴10x-4y-
(10x+45y)=24-(-25)).

, Finding Linear - CORRECT ANSWER-Sub m and
a point into general form and solve for c.

Distance of 2 Points - CORRECT ANSWER-d=√(
〖(y_2-y_1)〗^2+〖(x_2-x_1)〗^2 ) *remember
BODMAS

Midpoint - CORRECT ANSWER-
((x_1+x_2)/2,(y_1+y_2)/2)

Polynomials - CORRECT ANSWER-A polynomial
in x, P(x), is an expression containing only non-
negative, whole number powers of x. In the
polynomial equation P(x) = 13x2 − x + 1:
X is the variable.
13 is the coefficient of x2 and 13x2 is the
quadratic term.
−1 is the coefficient of x and −x is the linear term.
The constant term is 1.
The degree of the polynomial is 2.
The leading term is 13x2 as it is the term with the
highest power of x

Solving Quadratics - CORRECT ANSWER-Get 0
on one side, then factorise and use the null factor