Question

Three more than one-half a number is equal to 2 less than the number. n12+3=+n−2


It (is or is not) correct. One-half of a number means to (add, subtract, multiply, divide) not (Add, subtract, multiply, divide) by one-half. It should be (0.5n + 3 = n - 2 , n+3=0.5-2 , 0.5n+2=n-3 , n+2 = 0.5n-3)

Answer 1

Let's analyze the statement step by step.

The phrase "three more than one-half a number" can be expressed as:

\[
0.5n + 3
\]

where \( n \) represents the number.

The phrase "is equal to 2 less than the number" translates to:

\[
n - 2
\]

So the equation should be set up as:

\[
0.5n + 3 = n - 2
\]

Now, let's analyze the correctness of the alternatives provided:

1. **n12+3=+n−2**: This representation is incorrect because it's not clear and doesn't follow the usual mathematical syntax.
2. **One-half of a number means to (add, subtract, multiply, divide)**: The correct answer here is "divide," because one-half of a number is found by multiplying the number by 0.5 or dividing it by 2.
3. **Not (Add, subtract, multiply, divide)**: Since we are discussing one-half of a number, this choice would be "add" because it would not represent taking half of the number.
4. The alternatives you provided should be analyzed:
- **0.5n + 3 = n - 2**: This is correct. It represents the original equation.
- **n + 3 = 0.5 - 2**: This is incorrect.
- **0.5n + 2 = n - 3**: This is incorrect.
- **n + 2 = 0.5n - 3**: This is incorrect.

In summary:
- The equation \( 0.5n + 3 = n - 2 \) is the correct representation.
- One-half of a number means to **divide** (or multiply by 0.5).
- The choices given contain some correct and incorrect statements.