35.00004 to 1sf
40
Expand and simplify:
3(x+4)-2(x-5)
x + 22
State the values of a, b and c for each quadratic expression:
5 -2x +3x2
a = +3
b = -2
c = 5
Expand (x+6)2
x2 +12x +36
Share 72 in the ratio 2:6
18:54
Factorise x2 -x -12
(x-4)(x+3)
Factorise x2 +2x -15
(x+5)(x-3)
Factorise x2 -8x +12
(x-6)(x-2)
If 1 NZD = 0.93 AUD, how much NZD is 50 AUD?
53.76 NZD
Complete the steps to factorise by grouping:
2x2+6x+x+3
2x(x+3)+(x+3)
(x+3)(2x+1)
Factorise
9x2 -4
(3x+2)(3x-2)
Factorise
3x2-3x-36
3(x-4)(x+3)
y= -2x2
1) U or ∩?
2) Wider or Narrower?
3) Vertex?
Find all three.
1) ∩
2) Narrower
3) (0,0)
Rearrange so one side equals zero, then solve:
x2 +5x +9 = 3
x = -3 or x = -2
Rearrange so one side equals zero, then solve:
x2 = 7x
x = 0 or x = 7
Rearrange so one side equals zero, then solve:
x2 = 81
x = 9 or x = -9
Sam has paid 20% ($110) of her loan to her parents. What was her total loan?
$550
-5/4 (𝑥−4)2−4
Find the vertex and y-intercept
Vertex = (4, -4)
y-intercept = (0, - 24)
A square paddock on a Waikato farm has sides of x m. It is made 4 m longer and 2 m wider.
The new area is 80 m². Form and solve an equation to find x.
(1000 points)
x is 6(m)
A rectangular kūmara garden at a marae is x m wide and (x+5) m long. Its area is 24 m²
What is the length of width?
(1000 points)
The width is 3m