Patterns & Rules
Graph Masters
Algebra Basics
Equation Detectives
Real-life Algebra
100
What are the next two terms in the pattern? 


3, 6, 9, 12, __, __

15, 18

100
If you plot the point (3,4). What quadrant is it in? 
Quadrant 1
100

Simplify a + a

2a

100

Solve: 

x + 5 = 12

x = 7

100

The perimeter of a square is P = 4s. Find P when s = 6

P = 24

200

A pattern follows the rule add 4. If the first term is 7, what is the 5th term?

23

200

What are the coordinates of a point that is 5 units right and 2 units up from the centre/origin?

(5, 2)

200

Simplify 3x + 5x

8x

200

Solve: 

x - 9 = 4

x = 14

200

Tickets costs $8 each. Write an expression for the cost of n tickets

8n

300

Complete the table 

X 1                2               3                 4 

Y 5                8              11                 ?

14

300

State the coordinates of the point located 4 units left and 3 units down from the centre/origin

(-4, -3)

300

Evaluate 4n +2 when n=3

14

300

Solve: 

3x = 4

x = 8

300

A taxi charges a $5 flagfall plus $2 per kilometer. Write an equation for the cost C and k kilometer 

C = 2k + 5

400

The rule is y=3x+2. Find y when = 6

20

400

A graph passes through the points (1, 3), (2, 4), (3,7). What is the rule? 

y = 2x +1

400

Simplify

4a + 3b + 2a

6a + 3b

400
Solve: 


2x - 7 =13

x = 10

400

A school shells muffins for $3 each. If they raise $45, how many muffins were sold? 

15 muffins

500

Write a rule for this pattern using x and y

4, 7, 10, 13, 16

y = 3x + 1

500

Does the point (5, 11) lie on the graph y = 2x +1?

Yes! 

11 = 2 x 5 + 1

500

Expand -5(2x - 4)

-10x + 20

500

Solve x/4 + 2 = 7

x = 20

500

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