Patterns & Rules
3, 6, 9, 12, __, __
15, 18
Simplify a + a
2a
Solve:
x + 5 = 12
x = 7
The perimeter of a square is P = 4s. Find P when s = 6
P = 24
A pattern follows the rule add 4. If the first term is 7, what is the 5th term?
23
What are the coordinates of a point that is 5 units right and 2 units up from the centre/origin?
(5, 2)
Simplify 3x + 5x
8x
Solve:
x - 9 = 4
x = 14
Tickets costs $8 each. Write an expression for the cost of n tickets
8n
Complete the table
X 1 2 3 4
Y 5 8 11 ?
14
State the coordinates of the point located 4 units left and 3 units down from the centre/origin
(-4, -3)
Evaluate 4n +2 when n=3
14
Solve:
3x = 4
x = 8
A taxi charges a $5 flagfall plus $2 per kilometer. Write an equation for the cost C and k kilometer
C = 2k + 5
The rule is y=3x+2. Find y when x = 6
20
A graph passes through the points (1, 3), (2, 4), (3,7). What is the rule?
y = 2x +1
Simplify
4a + 3b + 2a
6a + 3b
2x - 7 =13
x = 10
A school shells muffins for $3 each. If they raise $45, how many muffins were sold?
15 muffins
Write a rule for this pattern using x and y
4, 7, 10, 13, 16
y = 3x + 1
Does the point (5, 11) lie on the graph y = 2x +1?
Yes!
11 = 2 x 5 + 1
Expand -5(2x - 4)
-10x + 20
Solve x/4 + 2 = 7
x = 20
A movie club charges a $10 joining fee plus $4 per visit. Write an equation and find the cost after 12 visits.
C = 4v + 10
Cost = $58