Formulas
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Interest or Amount
Coordinate Geometry
Graphs and linear equation
100
Using the Pythagorean Theorem, c2 =a2 + b2 is used to calculate the distance given two coordinates.
What is the distance formula?
100
Workout the gradient and y-intercept for x-3y+6 =0
What is x-3y+6 =0 -x -6 -x -6 -3y = -x-6 y = x/3 - 6/-3 y = x/3 + 2 gradient is 1/3 and y intercept 2
100
The kt value for 5 years with monthly rests
What is 12x5?
100
The slope of line is the run over the rise. (T/F)
What is F
100
Plot points (3,1) and (-5, -2)
Plot graph
200
The average between two points.
What is the midpoint?
200
Find the slope (1,6) and (4,0)
What is m = rise/run = (y2-y1)/(x2-x1) = (0-6)/(4-1) =-6/3 =-2
200
Use the simple interest formula to calculate interest for $6800 at 15% for 6 years
What is I = Pin = 6800 X 0.15 x 6 =$6120
200
(y2-y1)/(x2-x1) is the same as (y1-y2)/(x1-x2) (T/F)
What is true
200
Write the equation for a horizontal line with a point (0,5) crossing through it.
What is parallel line x=5
300
Borrow $4000 at 9.6% simple interest over 5 years. (Write formula only).
What is I = Pin = Prn/100
300
A right triangle with side 1.1m and 2.5m; find the area.
What is A=1/2bh =1/2 x 2.5m x 1.1m =1.375m
300
Calculate the amount and interest for $8400 at 9.6% compound interest for 3 years
What is A = P(1+r/100)^t =8400(1+9.6/100)^3 = $11058.87 I=11058.87-8400 =$2658.87
300
Graph y = -1/4x+1
explain plot
300
Check if (-1,2) is on the given line. y=x-3
What is no
400
The volume of a pyramid with a rectangular base.
What is V=1/3Ah = 1/3 x length x width x height ? Page 154
400
The distance between (4,1) and (-2,-4)
What is d =sqrt ((-2-4)^2 + (-4-1)^2) =sqrt((36) +(25)) =sqrt(61)
400
Calculate amount and interest for $4000 at 9.1% compound interest for 3 years with weekly rests
What is A = P(1+r/100kt)^kt =4000(1+9.1/100(52X3))^(3x52) =$5254.35 I=5254.35-4000 = $1254.35
400
Draw a right triangle on Cartesian plane using the x and y axis to enclose the sides. Identify coordinates. Calculate the hypotenuse.
Draw graph. Show coordinates. State length.
400
Choose two points and calculate the gradient for y=x+4
What is (0,4) and (5,9) m = 5/5 =1
500
Write down the surface area for a can of tuna.
What is 2 x (pi) x r^2 + lengthxwidth
500
See page 150 Area to be painted including ends of water tank (cylinder). Find the number of litres of paint needed if the coverage is 9m2/L.
Show all your work!!!
500
Find the amount and interest for 8000 at 8% compound interest for 3 years A=8000(1+8/100)3 =24000(1.08) =25,920 I=25,920-8000 = 17,920
What is to the power of 3 not multiplied by 3?
500
Provide an example of a linear equation in the gradient-intercept form.
Explain.
500
Are the lines parallel? 2x + 3y +8 =0 and 6y =5-4x
Show all your work and explain.
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