The Distributive Property & Algebraic Expressions Quick Check
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
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.
Expand −7/6(3g+2) .(1 point)
Responses
7/2g+2
7/2g−7/3
−7/2g+2
−7/2g−7/3