Pattern Rules
What is the pattern rule:
6, 12, 18, 24
It increases by 6 each time.
What type of pattern is this:
square, circle, square, circle, square
A repeating pattern.
Use the rule t = 5n – 2 to find the value of t when n = 6.
28.
Fill in a table of values chart for a pattern that goes up by 3 each time. Go up to the 5th term.
3, 6, 9, 12, 15
A plant grows 4 centimeters each week. How tall will it be after 8 weeks?
32 cm.
What is the pattern rule:
12, 9, 6, 3
It decreases by 3 each time.
What type of pattern is this:
10, 20, 30, 40, 50
A growing pattern.
Use the rule t equals 4n plus 1 to find the value of t when n equals 7.
29.
A plant grows 1.5 cm each day.
Complete a table for 1-4 days.
Day 1- 1.5 cm
Day 2- 3.0 cm
Day 3- 4.5 cm
Day 4- 6.0 cm
A printer produces 15 pages every minute. How many pages will it print in 6 minutes?
90 pages.
What is the pattern rule:
1.5, 3.0, 4.5, 6.0
What type of pattern is this:
40, 35, 30, 25, 20, 15, 10, 5
A shrinking pattern.
The rule is t = 5n − 1. Calculate the output for n = 3.
14
A bus travels 50 kilometers per hour. Write the distances traveled for 1, 2, 3, and 4 hours on a table of values.
1 hour- 50km
2 hours- 100km
3 hours-150km
4 hours- 200km
A swimmer completes 30 meters every minute.
How far will they swim in 4 minutes?
120 meters.
Determine the rule for the input-output relationship:
Input: 1, 2, 3, 4,
Output: 5, 10, 15, 20
Multiply the input by 5 each time.
What type of pattern is this:
1.0, 3.0, 5.0, 7.0, 9.0
A growing pattern.
Use the rule t equals 3n plus 2 to calculate the output for inputs 1, 2, 3, and 4.
5, 8, 11, 14
A car travels 80 kilometers per hour. Write the distance traveled for 1, 2 , 3 and 4 hours using a table of values.
1 hour -80 km
2 hours -160 km
3 hours- 240 km
4 hours- 320 km
A cyclist travels 5 kilometers every hour. How far will they travel in 3 hours? Write a rule for this pattern.
They will travel 15km in 3 hours.
Rule: It goes up by 5km every hour.
Determine the rule for this input-output pattern:
Input
1, 2, 3, 4
Output
7, 14, 21, 28
Multiply the input number by 7 each time.
What type of pattern goes up in a straight line on a graph?
A linear pattern.
Write the equation for a pattern where the input is multiplied by 4 and then 3 is added. Use it to calculate the output when the input is 9.
4n + 3
39
A baker makes 24 cookies every batch.
Fill in the table for 1, 2, 3, 4, and 8 batches.
1st batch- 24 cookies
2 batches- 48 cookies
3 batches- 72 cookies
4 batches- 96 cookies
8 batches- 192 cookies
A bike rental shop charges 7 dollars per hour plus a 3-dollar starting fee. What will you be charged if you have the bike for 4 hours?
31.