Question

Which property ca be used to expand the expression below?

5(3x−6/7)
(1 point)
Responses

Distributive Property
Distributive Property

Commutative Property
Commutative Property

Subtraction Property
Subtraction Property

Associative Property

A student expanded the expression −6(4x−2/13)
. Is the student's work correct? If not, what was their mistake?
(1 point)
Responses

No, the student should have multiplied 4x
and −2/13
by −6
.
No, the student should have multiplied 4 x and negative 2 over 13 by negative 6.

No, the student should have added −6
to 4x
and −213
.
No, the student should have added negative 6 to 4 x and negative 2 over 13.

No, the student should have multiplied 4x
and −213
by 6
.
No, the student should have multiplied 4 x and negative 2 over 13 by 6.

Yes, the student's work is correct.

Answer 1

The property that can be used to expand the expression \( 5(3x - \frac{6}{7}) \) is the **Distributive Property**.

Regarding the second part of your question:

If a student expanded the expression \(-6(4x - \frac{2}{13})\) and made an error, the correct answer would be:

**No, the student should have multiplied \(4x\) and \(-\frac{2}{13}\) by \(-6\).**

This means each term inside the parentheses should be multiplied by \(-6\), resulting in \(-6 \cdot 4x\) and \(-6 \cdot -\frac{2}{13}\).