Number sets
Name the smallest set that –√81 is part of.
integers
Interpret –3 in the equation of the line:
y+4=–3(x – 3)
gradient of the linear function
Find an equation of a quadratic function with zeros
x=–1 & x=3
f(x)=(x+1)∙(x–3)
any a is possible
Name the definition of the tangent of an angle.
tan(x)=Opposite/Adjacent
Find the vector from (3,–2) to (1,4).
(–2,6)
Write as an interval: –3 < x ≤ 1
(–3;1]
Find the gradient between (-1,5) and (0,1).
–4
Find the vertex of
f(x)= 2∙(x+1)^2 +4
(–1, 4)
0.5
Given are two parallel vectors:
(-8, 32) and (2, y)
Find y.
y = -8
True or false?
Any fraction of two integers is part of the rational numbers.
false: 0 needs to be excluded
Find the zero of
y = –0.5x +3
(6, 0) or x=6
Find the equation of the axis of symmetry of
y= –2x^2 +8x -9
x = 2
Find x:
cos(80°) = cos(x)
x=280°
Are (5,12) and (–6, 2.5) orthogonal?
Yes.
Write in scientific notation:
–0.025∙10^–4
-2.5∙10^–6
Find a & c so that the lines are identical.
I: –2x + 5y = 1
II: ax – 15y = c
a = 6
c = –3
How many solutions has
4x^2 –2x +3 = 0
none
Given is a triangle with a, b, c. Give a formula to find beta.
cos(beta)= (a^2 + c^2 – b^2) / (2ac)
Find the norm of (-5, 12)
13
Convert to hl: 5.4∙10^3 l
54 hl or 5.4∙10 hl
Find the intersection point of
I: x + 2y = 5
II: -x + y = 1
(1,2)
or x=1 and y=2
Solve for x:
3x^2 +6x = 0
x=0 or x=–2
True or false?
The ambiguous case occurs when you use the sine rule to determine an angle when you are given the lenghts of two sides and an acute angle opposite to the shorter of the two sides.
True
Find an equation of the line going through (0,3) and (3,1) in parameter form.
e.g. X = (0,3) + t∙(3,–2)