Write and solve the equation and then check your answer.

Question

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.