How would you put this in an equation and simplify it?

Question

1. Key in the first three digits of your phone number (NOT the Area code)
2. Multiply by 80
3. Add 1
4. Multiply by 250
5. Add the last 4 digits of your phone number
6. Add the last 4 digits of your phone number again.
7. Subtract 250
8. Divide number by 2

Assuming your phone number was 234-5678

Answer 1

Let x = prefix and y = last 4

(250(80x+1)+2y-250)/2

(20000x + 250 + 2y - 250) / 2 carry out first order of multiplication

(20000x + 2y) / 2 combine like terms

10000x + y complete indicated division

Answer 2

1. Equation = 234
2. Equation = 234 * 80 = 18720
3. Equation = (234 * 80) + 1 = 18721
4. Equation = ((234 * 80) + 1) * 250 = 4680250
5. Equation = ((234 * 80) + 1) * 250 + 5678 =4685928
6. Equation = ((234 * 80) + 1) * 250 + 5678 + 5678 = 4691606
7. Equation = ((234 * 80) + 1) * 250 + 5678 + 5678 - 250 = 4691356
8. Equation = (((234 * 80) + 1) * 250 + 5678 + 5678 - 250)/2 = 2345678


2345678

Answer 3

((234*80+1)*250+5678+5678-250)/2
or ((234*80+1)*250+2*5678-250)/2
(instead of adding the last 4 twice, just multiply by 2

this simplifies to your original phone number, no matter what that number is.

Answer 4

Let a = first three digits and b = last 4 digits, then
answer = ((a*80+1)*250+2*b -250)/2 = 10000a +b.
So, your telephone number 234-5678 becomes 2345678.

Answer 5

z = (250 * (80x + 1) + 2y - 250) / 2
z = (20000x + 250 + 2y - 250) / 2
z = (20000x + 2y) / 2
z = 10000x + y

x is the first 3 digits, y is the last 4.

Therefore, the solution just shifts the first 3 digits over 4 places and adds the last 4 digits, to get the phone number.

Answer 6

(((X)(80)+1)(250) + Y + Y -250)/2
(20000X+250+2Y-250)/2
(10000)(X)+Y
if X = 234 and Y = 5678
2340000+5678=2345678

Answer 7

((250 * (80 * (100a + 10b + c) + 1)) + (2000d + 200e + 20f + 2g) - 250) / 2

((250 * (8000a + 800b + 80c + 1)) + (2000d + 200e + 20f + 2g) - 250) / 2

(2000000a + 200000b + 20000c + 250) + (2000d + 200e + 20f + 2g) - 250) / 2

(2000000a + 200000b + 20000c + 2000d + 200e + 20f + 2g)/ 2

1000000a + 100000b + 10000c + 1000d + 100e + 10f + g

The answer is your phone number.

Answer 8

This helps because the bottom part of the equation 9y^2 - 4 into (3y-2) (3y+2), and therefore you can cancel out the (3y+2) on the top with the (3y+2) on the bottom. Your final answer will then be: (2y-3) / (3y-2). Hope this helps!!

Answer 9

[{[[(237)(80) +1](250)] +5678(2)}-250]/2=2,345,678
234-5678