Pattern Rules
Determine the pattern rule from the following T-table
0, 0
1, 10
2, 20
y = 10x
Draw a graph of the equation y = 3
Horizontal line at y = 3
Build a T-table for the equation y = x + 1 using the x-values of 1, 2, 3 and 4
1, 2
2, 3
3, 4
4, 5
Is the following pattern linear or non-linear?
(0, 1) (1, 3) (2, 5) (3, 7)
Linear
Write a linear equation to represent this word problem.
In one month, a student earned $200. He earned $60 by washing cars, and the rest by mowing lawns. He charged $10 per lawn.
200 = 60 + 10L
Determine the pattern rule from the following T-table
2, 7
3, 9
4, 11
5, 13
y = 2x + 3
Draw a graph of the equation x = 2
Vertical line at x = 2
Build a T-table for the equation 2x + 4 using the x-values of 1, 2, 3 and 4
1, 6
2, 8
3, 10
4, 12
Complete the ordered pairs for the equation: y = 12 - 3x
(1, __) (2, __) (3, __)
(1, 9) (2, 6) (3, 3)
Members of a recreation centre pay a one-time registration fee in addition to a fixed monthly fee of $20. If someone who attends for 4 months spends $112, what is the one-time registration fee?
Hint: $112 = $20 per month + f
$112 = $20/month + f
$112 = $20x4+ f
$112 = $80 + f
f = $32
Determine the pattern rule from the following T-table
0, 5
1, 3
2, 1
y = -2x + 5
y = 5 - 2x
Write this as an expression: The value of y is three more than double the value of x.
y = 3 + 2x
y = 2x + 3
Build a T-table for the equation 3x + y = 17 using the x-values of 1, 2, 3 and 4
1, 14
2, 11
3, 8
4, 5
What is the missing value in the linear ordered pair (5, ___) for the equation 2x - y = 8
(5, 2) because 2(5) - 2 = 8
The cost of a school pizza party is modeled by:
C = 20n+ 30, where n is the number of pizzas.
If the budget is $230, what is the maximum number of pizzas that can be bought?
230 = 20n + 30
200 = 20n
n = 10 pizzas
Determine the pattern rule from the following T-table
0, 2
1, -1
2, -4
3, -7
y = -3x +2
y = 2 - 3x
If a linear relation is defined by:
y = 2x + 4, what is the value of y when x = -2
y = 2(-2) + 4 = (-4) + 4 = 0
Build a T-table from the following ordered pairs: (2, 9) (3, 11) (4, 13)
What is the pattern rule?
The y-values are increasing by 2 so the rule must be 2x + ___.
y = 2x + 5
Build a T-table from the following ordered pairs: (1, 6) (2, 9) (3, 12)
How many will be in figure number 10? (10, __)
The y-values are increasing by 3 each time, so the rule must be 3x + ___. The rule is therefore 3x + 3.
In figure 10, 3(10) + 3 = 33
Emily’s cellphone plan charges her $0.05 per text message, $0.06 per minute of voice usage and a $5.00 base fee each month. What is Emily's cellphone bill if she sent 54 text messages and talked for 36 minutes?
0.05(54) + 0.06(36) + 5 = 9.86