Linear vs. Non-Linear
10, 25, 40, 55, 70...
Linear
What is the difference between an expression and an equation?
Equation has an equals sign
Using the expression y=2x+4, find the 6th term.
y = 16
4x = 20
x = 5
Angles on a straight line add up to?
180 degrees
11, 22, 33, 44, 55...
Linear
What is the rule for the sequence 3, 5, 7, 9, 10
+2
Using the expression y=5x-3, find the 9th term.
y = 42
3x + 2 = 11
x = 3
An 'F shape' in parallel lines, means what type of angles are equal
1, 4, 9, 16, 25...
non-linear
How many 'n' would we use when preparing the rule for the sequence 4, 14, 24, 34, 44?
10 or 10n
Using the expression y=6x+1, find the 3rd term.
y = 19
4x - 8 = 0
x = 2
A 'C shape' in parallel lines, means both angles will add to 180 degrees. What do we name these angles?
Co-interior or Supplementary
What does it mean if a pattern is linear?
The pattern is increasing or decreasing by the same number each time.
How many 'n' would we use when preparing the rule for the sequence 25, 22, 19, 16, 13
-3 or -3n
Using the expression y=2x+4, find the 6th term.
y = 16
-3x - 1 = 14
x = -5
A 'Z shape' in parallel lines, means what type of angles are equal
alternate
What does it mean if a pattern is non-linear?
Prepare the full expression (nth term expression) for the sequence
5, 14, 23, 32, 41
Be sure to use the format y = xn +\- number
y = 9n - 4
Using the expression y=-3x+7, find the 4th term.
y = -5
2(x - 1) = -8
x = -3
There are two properties of an isosceles triangle, what are they?
1. Two equal sides
2. Two equal base angles