What’s the Rule?
What’s the rule?
In: 10 → Out: 25
In: 12 → Out: 29
In: 14 → Out: 33
Multiply by 2, then add 5
Rule: Multiply by 2, then add 6
Input: 14 → ?
34
Write an expression:
“Triple a number x, then subtract 5”
3x-5
Write and solve the equation from the description.
A number n is tripled and increased by 4. The result is 28.
3n + 4 = 28
Solve for the variable.
4x – 6 = 26
x=8
What’s the rule?
In: 15 → Out: 42
In: 18 → Out: 50
In: 21 → Out: 58
Multiply by 2, then add 12
Rule: Multiply by 3, then subtract 4
Input: 12 → ?
32
Write an expression:
“A number n is multiplied by 4, then increased by 12”
4n+12
Write and solve the equation from the description.
Double a number, then subtract 10. The result is 22.
2n-10=22
Solve for the variable.
(x + 3) /2 = 10
What’s the rule?
In: 16 → Out:50
In: 18 → Out: 56
In: 20 → Out: 62
Multiply by 3, then add 2
Rule: Multiply by 4, then subtract 5
Input: 11 → ?
39
Write an expression:
“Multiply a number n by 5, then subtract 8”
5n-8
Write and solve the equation from the description.
Multiply a number by 4, then add 8. The result is 56.
4x+8=56
Solve for the variable.
(n – 7) × 3 = 69
x = 30
What’s the rule?
In: 25 → Out: 60
In: 27 → Out: 64
In: 29 → Out: 68
Multiply by 2, then add 10
Rule: Multiply by 5, then add 7
Output: 67 → What was the input?
12
Write an expression:
“Take a number x, multiply it by 3, then divide the result by 2”
(3x)/2
Write and solve the equation from the description.
Subtract 3 from a number, divide the result by 2, and get 14.
(x – 3)/2 = 14
Solve for the variable.
(3x – 4) / 2 = 11
x = 10
What’s the rule?
In: 30 → Out: 50
In: 32 → Out: 54
In: 34 → Out: 58
Multiply by 2, then subtract 10
Rule: Multiply by 4, then subtract 2
Input Output
11 ?
13 ?
? 58
Fill in the missing outputs and input using the rule.
Input Output
11 42
13 50
15 58
Write an expression:
“Start with a number x, subtract 3, divide by 2, then add 10”
(x – 3)/2 + 10
Write and solve the equation from the description.
A number is tripled, then increased by 5. That result is then doubled to make 46.
2(3n + 5) = 46
Solve for the variable.
(x ÷ 4) + 9 = 20
x = 44