What's the Rule?
What’s the rule?
In: 12 → Out:37
In: 16 → Out:49
In: 20 → Out: 61
Multiply by 3, then add 1 (3x + 1)
Rule: 2x + 3
Input: 4 → ?
x = 11
The cost of one t-shirt is $7. Write an expression for the cost of t shirts.
7t
4x - 2 = 12
x = 1
x = 2
Which is greater: x + 3 or 2x + 1?
Both, they are equal
Simplify:
3x + 2x
5x
What’s the rule?
In: 18 → Out: 70
In: 25 → Out:98
In: 28 → Out: 110
Multiply by 4, then subtract 2 (4x - 2)
Rule: 5x - 2
Input: 3 → ?
x = 13
You have x marbles. Your friend gives you 5 more. Write an expression.
x + 5
x + 5 = 13
x = 8
x = 3
Which is greater: 3x - 1 or 2x + 2?
Both, they are equal
Simplify:
2x + 4 + x + 1
3x + 5
What’s the rule?
In: 12 → Out: 75
In: 15 → Out: 93
In: 19 → Out: 117
Multiply by 6, then add 3 (6x + 3)
Complete the table with rule:
x + 6
Inputs: 2, 4, 6
Outputs: 8, 10, 12
Each pack of pencils costs $2. You buy p packs and pay a $1 fee. Write an expression.
2p + 1
2x - 1 = 9
x = 5
x = 5
Which is greater: x + 6 or 2x + 2?
2x + 2
Solve:
x + 3 > 7
x > 4
What’s the rule?
In: 10 → Out:57
In: 17 → Out: 92
In: 21 → Out: 112
Multiply by 5, then add 7 (5x + 7)
Find the rule:
Input: 1 → Output: 7
Input: 3 → Output: 13
Multiply by 3, then add 4 (3x + 4)
You run x miles each day. After 5 days, how far have you run?
5x
3x + 4 = 19
x = 5
x = 4
Which is smaller: 5x - 3 or 6x - 10?
6x - 10
Simplify and Solve:
2x + 5x + 12 < 12x - 8
Simplified: 7x + 12 < 12x - 8
Solved: x < 4
What’s the rule?
In: 8 → Out: 40
In: 18 → Out: 80
In: 28 → Out: 120
Multiply by 4, then add 8 (4x + 8)
Missing input:
Rule is 4x - 1
Output: 19 → Input = ?
Input = 5
You earn $10 per hour and work h hours. Then spend $15. Write an expression.
10h - 15
6x - 10 = 26
x = 6
x = 10
Which is greater: x + 12 or 3x?
3x
Simplify and Solve:
5x - 2 + 3x + 6 > 10x - 4
Simplified: 8x + 4 > 10x - 4
Solved: x > 4