Solving Equations
Substitution and Rearranging Formulae
Simultaneous Equations
Pythagoras
Trigonometry
100
Solve:
7x = 56
x = 8
100
If a = 5, b = -2 for c = 2a + b, what is c?
c = 8
100
What is the solution to the following simultaneous equations:
(-1,1)
100
When using Pythagoras Theorem, what is the formula to calculate side c?
c=sqrt(a^2+b^2)
100
When using Trigonometry, the side length across from the 90 degree angle is labeled with what letter?
h (for hypotenuse)
200
Solving Equations
4x + 3 = 7
x = 1
200
Make x the subject:
y = x - 8
x = y + 8
200
Solve the systems of equations using substitution:
3x + 4y = -2
y = -5
(6, -5)
200
Calculate the length of the hypotenuse:
26
200
35.10 degrees
300
Solving Equations
4(6 + 5x) = 124
x = 5
300
Make y the subject.
3x + y = 2
y = -3x + 2
300
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
300
Calculate the length of the Hypotenuse (to 2 dp):
7.62
300
How long is y?
y = 8.66
400
Solving Equations
36n - 12 = 8n - 40
n = -1
400
Make x the subject
u = xk + y
What is:
x = (u - y)/k
400
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
400
Calculate x (to 2 dp):
19.42
400
Find side length AB
AB = 8.40
500
Solve:
254 = -2v - 6(2 +6v)
v = -7
500
Make z the subject
z2 - x = p2
z = sqrt(p2 + x)
500
Solve the systems of linear equations by graphing:
500
What is the length of bd?
12
500
0.69m^2