Question

Write an algebraic equation to represent the following statement: the sum of 4 and half a number equals 6 less than the number.

a) 4 + (1/2)x = x - 6
b) 4 + (1/2)x = 6 - x
c) 4 + (1/2)x = x + 6
d) 4 + (1/2)x = x

Answer 1

The algebraic equation to represent the given statement is 4 + (1/2)x = x - 6.

Step-by-step explanation:

To represent the given statement algebraically, we can write the equation as follows:

4 + (1/2)x = x - 6

To break it down step-by-step:
1. The sum of 4 and half a number is represented as 4 + (1/2)x.
2. Equals is represented by the equal sign (=).
3. 6 less than the number is represented as x - 6.
4. Combining all the parts, we get the equation 4 + (1/2)x = x - 6.