word problem

Question

how do I solve this   

The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger number and negative twenty" into a variable expression and simplify 

Answer 1

Jerry, if the sum of two numbers is ten and the smaller is x, then the larger is 10 - x.

 

2(10 - x) - (-20)

 

We use the distributive property and remember that subtracting a negative number is like adding.

 

20 - 2x + 20

 

Now, we combine like terms.

 

-2x + 40

 

If negative numbers confuse you, look at a bank statement. Let's say the bank charges you a $20 fee. It shows up as -$20. We can either subtract $20 from our balance or add the negative 20 and get the same result.

 

Now, let's say that you call the bank and get them to refund you the fee. They subtract the fee, or -(-$20), and you would add the $20 to your balance.

 

Hope this helps!