Question

Write and solve the equation and then check your answer.

Four times a number is thirty-two.

Which statements are true? Select the three that apply.

(3 points)
Responses

The correct equation is m4=32.
The correct equation is m over 4 is equal to 32.

The correct equation is 4m=32.
The correct equation is 4 m is equal to 32.

This is a division problem.
This is a division problem.

To solve the equation, divide both sides by 4.
To solve the equation, divide both sides by 4.

This is a multiplication problem.
This is a multiplication problem.

To solve the equation, multiply both sides by 4.

Answer 1

Let's start by translating the word problem into an equation.

The statement "Four times a number is thirty-two" can be expressed mathematically as:

\[ 4m = 32 \]

where \( m \) represents the unknown number.

### Now, let's solve the equation:

To solve for \( m \), we divide both sides of the equation by 4:

\[
m = \frac{32}{4} = 8
\]

So, the number is \( 8 \).

### To check the solution:
We can substitute \( m = 8 \) back into the original equation:

\[
4m = 32 \\
4(8) = 32 \\
32 = 32
\]

This confirms that our solution is correct.

### Now, let's evaluate the statements:

1. **The correct equation is \( m4=32 \).** (False)
2. **The correct equation is \( m \) over \( 4 \) is equal to \( 32 \).** (False)
3. **The correct equation is \( 4m=32 \).** (True)
4. **The correct equation is \( 4 \, m \) is equal to \( 32 \).** (True)
5. **This is a division problem.** (False)
6. **To solve the equation, divide both sides by 4.** (True)
7. **This is a multiplication problem.** (True)
8. **To solve the equation, multiply both sides by 4.** (False)

### True statements:
- The correct equation is \( 4m = 32 \).
- The correct equation is \( 4 \, m \) is equal to \( 32 \).
- To solve the equation, divide both sides by 4.
- This is a multiplication problem.

### Final selection:
The three true statements you should select are:

1. **The correct equation is \( 4m=32 \).**
2. **To solve the equation, divide both sides by 4.**
3. **This is a multiplication problem.**