The Distributive Property & Algebraic Expressions Quick Check

Question

5 of 55 of 5 Items
Question
Expand −76(3g+2).(1 point)
Responses

72g+2
Start Fraction 7 over 2 End Fraction g plus 2

72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

−72g−73
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

−72g+2

Answer 1

To expand the expression −76(3g+2), we apply the distributive property, which states that for any numbers a, b, and c:

a(b + c) = ab + ac.

Using this property with our expression, we distribute −76 to both 3g and +2:

−76 * 3g = −228g,
−76 * 2 = −152.

Putting it all together, we get:

−76(3g+2) = −228g − 152.

None of the provided responses seem to correctly match our result. It looks like there may have been a typographical error in the problem or the responses. If we try to match our result with the given choices, it seems that the expression with the correct signs would be:

−228g − 152.

However, this is not listed among the provided responses. If these are the actual choices presented to you, none of them are correct. Please double-check the original expression and the response options for any errors.

Answer 2

Expand −7/6(3g+2) .(1 point)
Responses

7/2g+2

7/2g−7/3

−7/2g+2

−7/2g−7/3