Solving
Plotting graphs
Finding equations of graphs (intermediate)
Simultaneous Equations
Finding equations of graphs (advanced)
100
Solve for x:
3x+1=16
x=5
100
What is the point called where the graph crosses the y-axis?
y-intercept
100
Find the equation of a graph which has a gradient of -3 and a y-intercept of 6
y=-3x+6
100
At what x value are these two graphs equal?
x=5
100
Find the equation of the graph which has a gradient of 1 and goes through the point (-4, -10)
y=x-6
200
8x-8=-4x-20
x=-1
200
In the equation y=mx+c what does m and c stand for?
m = gradient
c = y-intercept
200
If a graph rises 2 units for every 1 that it runs, and has a y-intercept of (0, -2), what is the equation of the graph?
y=2x-2
200
Solve the following pair of simultaneous equations:
y=3x+2
x=y
x = 1
y = 1
or (1, 1)
200
Find the equation of the line which goes through the points (-2, 14) and (2, -6)
y=-5x+4
300
Solve for y if x=3/2
2y=3x-8
y=-7/4
300
Which quadrant has positive x values but negative y values?
4th quadrant
300
What is the equation of the graph?
y=x+5
300
Solve the following pair of simultaneous equations
2x-4y=16
5x+4y=5
x=3
y=-5/2
300
Find the equation of the line which passes through the points (-1, 3) and (2, 5)
y=2/3x+11/3
400
8(2+y)=(y-3)/2
y=-7/3
400
Sketch the graph y=2x+4
400
Find the equation of the line which has an undefined gradient and passes through the point (1, 2)
x=1
400
At what coordinates does the graph y=-2x+3 intersect with the graph y=5x-4
(1,1)
400
Calculate the equation of the line connecting points A and B.
y=5x-3
500
(2 minutes allowed)
Solve for y in terms of x:
(x+2)/3-5=(14y-5)/4
y=(4x-37)/42
500
(2 minutes allowed)
Sketch the graph 9x+3y=18
500
(2 minutes allowed)
For every year after it was bought, a car loses $1500 in value. If the car is worth $7000 after 2 years, find an equation that represents the value (V) of the car over time (t) in years.
V=-1500t+10000
500
(2 minutes allowed)
Solve the following simultaneous equations for x and y in terms of m.
6m-10x=2y
3m-2mx=my
x=m-1
y=5-2m
500
(2 minutes allowed)
A local store has started renting out scooters to tour groups who pass through the city. Groups are charged based on the number of people hiring the equipment. There is a flat charge of $10.00 any time you book a day of rentals and it is known that the cost for 20 people to hire scooters is $310.00. The cost for 40 people to hire scooters is $610.00.
Calculate how much it will cost to hire 30 scooters.
$460