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.
1 answer
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 \(-6 \cdot -\frac{2}{13}\).
