Check all of the expressions that are equal to the one below.

Question

(7 - 11) x (5)
Group of answer choices

(7 + 11) x (5)

-(-7 + 11) x (5)

(5) x 7 - (5) x 11

(5) x 7 + (5) x (-11)

Answer 1

Let's evaluate the original expression and then check each of the given options.

1. Evaluate the original expression: \[ (7 - 11) \times 5 = (-4) \times 5 = -20 \]

Now, let's evaluate each of the expressions in the options:

2. Evaluate \((7 + 11) \times 5\): \[ (7 + 11) \times 5 = 18 \times 5 = 90 \]

3. Evaluate \(-(-7 + 11) \times 5\): \[ -(-7 + 11) \times 5 = -4 \times 5 = -20 \]

4. Evaluate \((5) \times 7 - (5) \times 11\): \[ (5 \times 7) - (5 \times 11) = 35 - 55 = -20 \]

5. Evaluate \((5) x 7 + (5) x (-11)\): \[ (5 \times 7) + (5 \times -11) = 35 - 55 = -20 \]

Now, let's summarize the results:

• The original expression evaluates to \(-20\).
• \((7 + 11) \times 5\) evaluates to \(90\).
• \(-(-7 + 11) \times 5\) evaluates to \(-20\).
• \((5) \times 7 - (5) \times 11\) evaluates to \(-20\).
• \((5) x 7 + (5) x (-11)\) evaluates to \(-20\).

So, the expressions that are equal to \((7 - 11) \times (5)\) are:

• \(-(-7 + 11) \times (5)\)
• \((5) \times 7 - (5) \times 11\)
• \((5) x 7 + (5) x (-11)\)

Answer 2

which ones?

first
second
third
or the forth answer?

Answer 3

The expressions that are equal to the original expression \((7 - 11) \times (5)\) (which evaluates to \(-20\)) are:

• The second option: \(-(-7 + 11) \times (5)\)
• The third option: \((5) \times 7 - (5) \times 11\)
• The fourth option: \((5) x 7 + (5) x (-11)\)

The second, third, and fourth options are equal to the original expression.

The first option, \((7 + 11) \times (5)\), is not equal to \(-20\) (it evaluates to \(90\)).