Solving equations
Non-linear/Transpose
Simultaneous equations
Linear graphs
100
Is x2 + 3 = 9 a linear equation?
No- the power of x is 2, not 1.
100
Solve the equation x2 = 49.
x = +- 7
100
Solve the following:
y = x + 3
6x + y = 17
x = 2, y = 5
100
Sketch the graph of y = -2 + 3x
200
Solve the following equation:
2x + 5 = 35 - 4x
x = 5
200
Explain why 6m3 = 48 is a non-linear equation.
The pro-numeral m is raised to the power of 3. All variables in a linear equation are raised to the power of 1.
200
Solve the following:
x + 8y = 16
y - x = 2
x = 0, y = 2
200
Find the slope of this graph and write the equation.
7 = -3 + 5x
300
If 2a - 4b = 8, find an expression for a.
a = 4 + 2b
300
Transpose the following to make r the subject.
V = 1/3 pir^2h
r = sqrt((3V)/(pih)
300
The weight of a box of nails and a box of screws is 2.5kg. Four boxes of nails and a box of screws weigh 7kg. Determine the weight of each.
n = 1.5kg
s = 1kg
300
Find the gradient of a line that passes through (1,5) and (3, -9).
b = -7
400
If y = mx + c, find an expression for m.
m = (y-c)/x
400
Transpose the following to make m the subject.
h = jk + 1/5 mn^2
m = (5(h-jk))/n^2
400
The sum of two numbers x and y, is 52. The difference between the two numbers is 8. Find the values of x and y.
x = 30
y = 22
400
Find the equation of the graph below.
y = 0.89 + 0.22x
500
When a number is doubled and 15 is subtracted, the result is 103. Find the number.
n = 59
500
Solve the following non-linear equation.
5(2n2 + 7) = 10
n = +- 2.74
500
A boy is 6 years older than his sister. In three years time he will be twice her age. What are their present ages?
b = 9
s = 3
500
Find the equation for the graph below.
y = -3 + 4x