chapt 1.7 & 1.8 - functions of graph , eqns and inequality

Question 1

gradient

Answer 1

rise / run

m = (y2 - y1) / (x2 - x1)

Question 2

eqn of a straight line

Answer 2

y = mx + c

• > m = gradient
• > c = y-intercept

Question 3

completing the square

Answer 3

(x + p)² + q

x² - ax - b = 0
(x - a/2)² - b + (a/2)²

Question 4

simultaneous eqns

Answer 4

elimination
; Different Sign Add (DSA)
; Same Sign Subtract (SSS)

substitution
; make y or x the subject

Question 5

inequality rules

Answer 5

1) x < 0 ; x less than 0
2) x > 0 ; x more than 0
3) x ≤ 0 ; x less than/equal to 0
4) x ≥ 0 ; x more than/equal to 0

Question 6

on the number line , what does hollow dot and shaded dot mean ?

Answer 6

hollow dot = not inclusive

shaded dot = inclusive