translate and simplify"six less than twice the sum of a number and three"
choices are
A)-2x
b)2x
c)-2x+9
d)2x-3
I set it up
2(x+3)-6
2x+6-6
answer=2x
Is this correct
Thanks
Yes. It's correct.
Yes, your setup and simplification are correct. The expression "six less than twice the sum of a number and three" can be translated as 2(x + 3) - 6, and this simplifies to 2x. So, the correct answer is B) 2x.
Yes, your setup and simplified expression are correct.
To translate the phrase "six less than twice the sum of a number and three" into an algebraic expression, you can follow these steps:
1. Identify the number: Let's call it x.
2. Identify the operations: twice the sum of a number and three, and then subtract six.
3. Translate these operations into an algebraic expression:
- The sum of a number (x) and three: x + 3.
- Twice this sum: 2(x + 3).
- Six less than this: 2(x + 3) - 6.
Simplifying this algebraic expression, you correctly distributed the 2:
2(x + 3) - 6
= 2x + 6 - 6
= 2x
So the correct answer is, as you stated, b) 2x.