Pattern rule
Write the expression
Recursive or functional
Find the missing value (n)
Word Problems
100

Write the pattern rule for:

3,7,11,15,19

Start at 3, add 4 each time.

100

X: 1        2        3        4        5     

Y: 12      24       36      48      60

nx12

100

The pattern goes up by 6 each time.

Recursive

100

X: 1        2        3        4        5     

Y: 3        6         n       12       15

n = 9

100

A slice of pizza costs 2$ at school. Write an expression to show the cost per slice.

p x 2

200

Write the pattern rule for:

12,10,8,6,4

Start at 12, subtract 2 each time

200

X: 1        2        3        4        5     

Y: 6        7        8         9       10

n + 5

200

The term number is multiplied by 4 then 1 is added each time.

Functional

200

X: 1        2        3        4        8     

Y: 12      24       36      48      n

n = 96

200

An amusement park costs $15 to enter and $3 for each ride ticket. Write an expression to represent the cost of going to the park.

3t + 15

($3 per ticket) + ($15 to enter)

300

Write the pattern rule for:

-23,-20,-17,-14,-11

Start at -23, add 3 each time.

300

X: 1        3        5        7        9     

Y:  -3      -1       1        3        5

n - 4

300

What is the recursive relationship:

X: 1        2        3        4        5     

Y: 6        7        8         9       10


Add 1 each time

300

X: 1        2        3        4        12     

Y:  -2      -4       -6      -8        n

n = -24

300

If it costs $6 for an ice cream sundae and 0.25 cents for each topping. How much will it cost for a sundae with 5 toppings?

$7.25

6 + (5x0.25) = 6 + (1.25) = 7.25

400

Write the pattern rule for:

-64,-72,-80,-88,-96

Start at -64, subtract 8 each time.

400

X: 1        2        3        4        5     

Y: 16      24       32      40     48

n x 8 + 8

400

What is the functional relationship:

X: 1        2        3        4        5     

Y: 6        7        8         9       10

The term number plus 5 each time.

400

X: 1        2        3        4        9     

Y:  -32    -22     -12     -2        n

DAILY DOUBLE!!

(X x 10 - 42)

n = 48

400

If Cutty started with $100 and saved $20 each week and Preston started at $200 and saved $10 each week, who would have the most money after 8 weeks and by how much.


Preston by only $20.

500

Write the pattern rule for:

16, -32, 64, -128, 256

DAILY DOUBLE!!

Start at 16, multiply by -2 each time.

500

X: 1        2        3        4        5     

Y: 6         2       -2       -6       -10

n x (-4) + 10

500

What is the functional relationship:

X: 1        2        3        4        5     

Y: 18       25      32      39       46

Term number multiplied by 7 plus 11.

500

X: 1        2        3        4        11    

Y: 13      11      9         7        n

X x (-2) + 15

n = -7

500

If Mr. Wendenberg's chess club has the expression    y= 2x + 10 to represent his club members and Mr. Van Rees' anime club has the expression y= 3x + 5. 

Who's club has the higher rate of change, and by how much?

How many members will each teacher have after 9 weeks?

What week will Mr. VR pass Mr. Wendenberg in club members.

1. Mr. VR has higher rate of change.

2. a Mr. Wendenberg = 28

2. b Mr. Vr = 32

3. Week 6