Indices
5x^0 = ?
5
Simplify
2sqrt(8)
4sqrt(2)
What does 32 + 42 equal?
25
What does the c represent in the general form of the equations of a straight line y = mx + c ?
c represents the y intercept.
What rule do you use to find an angle if you know the adjacent and the opposite sides?
tan(theta)=opp/adj
Write as a fraction without indices
3^-2
1/9
Simplify
3sqrt(50)-sqrt(50)
10sqrt(2)
What type of triangle do you need to apply Pythagoras' Theorem?
right angle triangle
What is the gradient of the line connecting these two points? (1,9) and (3, 3)
-3
What do all of the angles inside a triangle add to?
1800
Evaluate 2a3c4 x 3a2b5c6
6a5b5c10
Simplify
(21sqrt(2))/(7sqrt(18))
1
Calculate 3253.34 + 61.52 to 3 significant figures
3.31 x 103
The electrician charges an $80 call out fee and then $2 per minute. What is the (equation) which shows the total cost to visit someone's house for a repair?
The rule is C = 80 + 2m
Theta= sin-1( ___ / hypotenuse). What is missing?
opposite
Simplify
(16x^4)^(1/4)
2x
4sqrt3(sqrt12−sqrt3)
12
If one triangle has two short sides, one of 5m and one of 3m, and another has two short sides both 4m each, which has the longer hypotenuse?
the 3 and 5 m triangle
Equation 1 has a zero gradient. Equation 2 has an undefined gradient. Both equations intersect at the point (-1,5)
(What are the two equations?)
What is the gradient of equations 1 and 2 below and and at what point do they intersect?
1. y=5
2. x = -1
The angle of elevation from the ground to the top of a flag pole 4 meters away is 36 degrees. What is the equation to work out the height of the pole?
h= 4 x tan (36)
What value of x makes this equation true
3^x= 1/81
1/81 = 1/3^-4
x = -4
sqrt(13) times
sqrt(13)
13
What is 6x102 ÷ 2x101
30
State two points that the equation y = 2x - 3 passes through.
several answers possible e.g. (0,-3) (1,-1) (2, 1)
1. Draw
2. Label
3. Rule/Formula
4. Substitute
5. Solve