Number Patterns
The pattern rule for 2, 4, 6, 8, 10, ...
State the rule
Start at 2 and add by 2.
a number increased by 5
Using the word quotient write an algebraic expression for this
(n / 3) + 5
The quotient of a number and 3, plus 5
Input l Output
5 2
7
9
13
What is the rule and fill in the missing values?
Input l Output
5 2
7 4
12 9
16 13
rule: subtract 3
Figure 1: 3 blocks
Figure 2: 5 blocks
Figure 3: 7 blocks
Write a algebraic expression to find the number of blocks for any figure number (n), y being the total number of blocks
y = 2n + 1
The Number Pattern for: Start at 3 and add by 3.
State the first 6 numbers
3, 6, 9, 12, 15, 18, . . .
2x
two times x
A group of 4 friends won a contest. The prize was $20 less than the original $100 jackpot.
If they split the prize equally, how much does each person get?
$20 each
Adam is exactly 4 years older than Jen.
Adam l Jen
5 1
7 3
10
When Adam is 10, how old is Jen
Adam l Jen
5 1
7 3
10 6
Imagine a clover growing. Each "Step" it just gets one more leaf.
Step 1: 3 leaf
Step 2: 5 leaves
Step 3: 7 leaves
If this keeps going, how many leaves will be on Step 10?
The missing numbers: 5, ____ , 15, _____, 25, 30 . . .
10 and 20.
c / 4
A taxi company charges a $4.00 base fee just to get into the car. Then, they charge $2.00 for every kilometer (k) you travel.
Write an algebraic Expression
2k + 4
5(k + 16)
k = 5
What does it simplify to?
105
Step 1: 4 blocks
Step 2: 7 blocks
Step 3: 10 blocks
How many blocks does figure 0 have?
1 block
60, 48, 36, 24, 12..
What is the rule ?
Divide by 12
the product of -15 and n
-15n
A large pizza costs $18, but a small pizza costs $5 less than a large pizza.
If a family buys p small pizzas, what is the expression for the total cost?
Evaluate (j / 3) - 8
if j = 54
10
The Pattern: A gardener is planting flowers in a row.
Day 1: 5 flowers
Day 2: 9 flowers
Day 3: 13 flowers
If this pattern continues, on what Day will the gardener have 33 flowers?
Hint: create an algebraic expression for the pattern
It will be day 8
4n + 1
The Number Pattern for: Start at 300 and subtract by 2.
List the first 6 numbers
300, 298, 296, 294, 292, 290. . .
use the word less than
to describe 23 - y
Sarah has $200 in her bank account. Every week (w), she spends some money. If she spends $10 less than the $25 she usually earns from chores, write an expression for her remaining balance after w weeks.
200 - 15w
( 6y + 3x)/ 3
y = 2
x = 3
Evaluate
21
Figure 1: 1 square
Figure 2: 4 squares
Figure 3: 9 squares
Write an algebraic expression, n represents the figure number, y represents the total number of squares
y = 3n -2