Question 11: Start with any number: X Multipy by 3: 3X Add 10: 3X+10 Divide by 2: 2X+5 Add 16: 2X+21 Subtract 6: 2X+15 Add -15: 2X Divide by 2: X You will end with the original number!
Question 12: Begin with a number: N Add 12: N+12 Add 3 of the original number: 4N+12 Divide by 2: 2N+6 Add the original number once: 3N+6 Add 2: 3N+8 Subtract the original number twice: N+8 Add the opposite of the original number: 8 You will always end with 8!
Q.11 pick a number:n multiply by two:2x multiply that number by 3:2x*3 multiply that number by 4:2x*3*4 add your number:2x*3*4+n subtract twice your original number:2x*3*4+n-2n divide by 23:(2x*3*4+n-2n)/23 you should get you original number:n
Q.12 pick a number:n multiply by 2:2n multiply that number by 3:2n*3 divide by 2: 2n*3/2 add your original number:2n*3/2+n divide by 4:(2n*3/2+n)/4 subtract your original number:(2n*3/2+n)/4-n add 8:(2n*3/2+n)/4-n+8 you should get 8: 8
Question 11: Pick a number: n multiply by 3: 3n add 18: 3n+18 divide by three: n+6 subract 6: n-6=n You will always end up with your orginal number!
Question 12: pick a number: n add 1: n+1 multiply by 2: 2n+2 multiply by 3: 6n+6 subract 4: 6n+2 add 6: 6n+8 subtract the original number 6 times: 8 You will always end up with 8!
Question 11: Pick a number: b Subtract 11: b-11 Multiply by 3: (b-11)3= 3b-33 Add 5 times original number: 3b+-33+5b= 8b+-33 Add 1: 8b+-33+1= 8b+32 Divide by 4: (8b+32)/4= 2b+8 Divide by 2: (2b+8)/2=b+8 Subtract 8: b+8-8= b You will always end with the original number.
Question 12: Pick a number: y Add 1: y+1 Multiply by 2: (y+1)2= 2y+2 Multiply by 3: (2y+2)3= 6y+6 Subtract 6: 6y+6-6= 6y Divide by original number: (6y)/y=6 Add 2: 6+2=8 The answer will always be 8.
Question 11- Start with a number: n Subtract 3: n-3 Multiply by 12: 12(n-3) Add 4 more than your original number: 16n+40 Divide by 2: 8n+20 Subtract 20: 8n Subtract 7n: n
Question 12- Start with a number: n Multiply by 2: 2n Subtract 16: 2n-16 Divide by 8: .25n-2 Add 2: .25n Multiply by 4: n Subtract your original: 0 Add 8: 8
Start with any number: n Add 14: n+14 Divide by 2: 0.5(n+14)=0.5n+7 Subtarct 2: 0.5+7-2=0.5n+5 Multiply by 10: 10(0.5n+5)=5n+50 Add-15: 5n+50+-15=5n+35 Subtract 35: 5n+35-35=5n+0 Divide by five: 5n/5 = 1n = n
Question 12.
Start with a number: x Multiply by five: 5x Add 32: 5x+32 Multiply by 2: 2(5x+32)=10x+64 Add one: 10x+64+1=10x+65 Divide by 5: 5/(10x+65)=2x+13 Subtract 5: 2x+13-5=2x+8 Subtract twice your original number : 2n+8-2n=0+8=8
My first puzzle is: Pick a number, double it, add 6, multiply by 4, subtract 24, and divide by 8.
My "Eight is Great" puzzle is: Pick a number, add 1, multiply by 2, multiply by 3, subtract 4, add 5, subtract 6 times your original number, and add 1.
Hey, Iwas just looking now to see if a missed any of the homework and I realized that I had put the number puzzles in the wrong place. I am so sorry, I was in a rush on Thursday. I will comment them here even though it is late.
My first puzzle that I made up is really simple. It goes: pick a number, double it, add thirteen, subtract three, divide by two, and then subtract ten.
The "Eight is Great" puzzle only required me to change one step from the "Seven is Heaven" puzzle. It goes: pick a number, add one, multiply by two, multiply by three, subtract four, add six, then subtract six times your original number.
12 comments:
Question 11:
Start with any number: X
Multipy by 3: 3X
Add 10: 3X+10
Divide by 2: 2X+5
Add 16: 2X+21
Subtract 6: 2X+15
Add -15: 2X
Divide by 2: X
You will end with the original number!
Question 12:
Begin with a number: N
Add 12: N+12
Add 3 of the original number: 4N+12
Divide by 2: 2N+6
Add the original number once: 3N+6
Add 2: 3N+8
Subtract the original number twice: N+8
Add the opposite of the original number: 8
You will always end with 8!
Q.11
pick a number:n
multiply by two:2x
multiply that number by 3:2x*3
multiply that number by 4:2x*3*4
add your number:2x*3*4+n
subtract twice your original number:2x*3*4+n-2n
divide by 23:(2x*3*4+n-2n)/23
you should get you original number:n
Q.12
pick a number:n
multiply by 2:2n
multiply that number by 3:2n*3
divide by 2: 2n*3/2
add your original number:2n*3/2+n
divide by 4:(2n*3/2+n)/4
subtract your original number:(2n*3/2+n)/4-n
add 8:(2n*3/2+n)/4-n+8
you should get 8: 8
Question 11:
Pick a number: n
multiply by 3: 3n
add 18: 3n+18
divide by three: n+6
subract 6: n-6=n
You will always end up with your orginal number!
Question 12:
pick a number: n
add 1: n+1
multiply by 2: 2n+2
multiply by 3: 6n+6
subract 4: 6n+2
add 6: 6n+8
subtract the original number 6 times: 8
You will always end up with 8!
Question 11:
Pick a number: b
Subtract 11: b-11
Multiply by 3: (b-11)3= 3b-33
Add 5 times original number: 3b+-33+5b= 8b+-33
Add 1: 8b+-33+1= 8b+32
Divide by 4: (8b+32)/4= 2b+8
Divide by 2: (2b+8)/2=b+8
Subtract 8: b+8-8= b
You will always end with the original number.
Question 12:
Pick a number: y
Add 1: y+1
Multiply by 2: (y+1)2= 2y+2
Multiply by 3: (2y+2)3= 6y+6
Subtract 6: 6y+6-6= 6y
Divide by original number: (6y)/y=6
Add 2: 6+2=8
The answer will always be 8.
Question 11-
Start with a number: n
Subtract 3: n-3
Multiply by 12: 12(n-3)
Add 4 more than your original number: 16n+40
Divide by 2: 8n+20
Subtract 20: 8n
Subtract 7n: n
Question 12-
Start with a number: n
Multiply by 2: 2n
Subtract 16: 2n-16
Divide by 8: .25n-2
Add 2: .25n
Multiply by 4: n
Subtract your original: 0
Add 8: 8
Question 11.
Start with any number: n
Add 14: n+14
Divide by 2: 0.5(n+14)=0.5n+7
Subtarct 2: 0.5+7-2=0.5n+5
Multiply by 10: 10(0.5n+5)=5n+50
Add-15: 5n+50+-15=5n+35
Subtract 35: 5n+35-35=5n+0
Divide by five: 5n/5 = 1n = n
Question 12.
Start with a number: x
Multiply by five: 5x
Add 32: 5x+32
Multiply by 2: 2(5x+32)=10x+64
Add one: 10x+64+1=10x+65
Divide by 5: 5/(10x+65)=2x+13
Subtract 5: 2x+13-5=2x+8
Subtract twice your
original number : 2n+8-2n=0+8=8
Q. 11
Pick a number: n
Add 6: 6+n
Multiply by 2: 2n+12
Divide by two: n+6
Subtract 6: n
Q. 12
Pick a number:n
Add 3: n+3
Multiply by 4: 4n+12
Subtract 4: 4n+8
Subtract 4 times you original number:8
11:
Pick a number: n
*5: n+5
+20: 5n+20
*3: 15n+60
/15: n+4
-4: n
12:
pick a number: n
+10: n+10
*8: 8n+80
/2: 4n+40
-40: 4n
/n: 4
+4: 8!
2.3
#11:
n
-11
*3
+5n
+1
/4
+8
-n
=n
#12:
n
+8
*15
/15
+3
+5
-7
-1
-n
=8
11:
Step 1:Pick a number: n
Step 2:Double it: 2n
Step 3:Add 42: 2n+42
Step 4:Multiply by 1/2: n+21
Step 5:Multiply by 3: 3n+63
Step 6:Subtract 18: 3n+45
Step 7: Divide by 3: n+15
Step 8: Subtract 15: n
12:
Step 1:Pick a number: n
Step 2:Add 1: n+1
Step 3:Multiply by 2: 2n+2
Step 4:Multiply by 3: 6n+6
Step 5:Subtract 4: 6n+2
Step 6:Add 5: 6n+7
Step 7:Add 1: 6n +8
Step 8:Subtract 6 times your original number: 8
My first puzzle is: Pick a number, double it, add 6, multiply by 4, subtract 24, and divide by 8.
My "Eight is Great" puzzle is: Pick a number, add 1, multiply by 2, multiply by 3, subtract 4, add 5, subtract 6 times your original number, and add 1.
Hey, Iwas just looking now to see if a missed any of the homework and I realized that I had put the number puzzles in the wrong place. I am so sorry, I was in a rush on Thursday. I will comment them here even though it is late.
My first puzzle that I made up is really simple. It goes: pick a number, double it, add thirteen, subtract three, divide by two, and then subtract ten.
The "Eight is Great" puzzle only required me to change one step from the "Seven is Heaven" puzzle. It goes: pick a number, add one, multiply by two, multiply by three, subtract four, add six, then subtract six times your original number.
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