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QuizMultiple Choice

Solving with the Distributive Property — Quiz

Question 2 • Mathematics 8

Maria solved the equation. 4 times open paren 3 x minus 8 close paren minus 4 is equal to 24 12 x minus 32 minus 4 is equal to 24 12 x minus 36 is equal to 24 12 x is equal to 60 x is equal to 5 What methods did she use and in what order did she use them?

Answer
A
distributive property combining like terms addition property of equality division property of equality
B
distributive property of equality addition property of equality combining like terms division property of equality
C
distributive property addition property of equality subtraction property of equality division property of equality
D
combining like terms distributive property addition property of equality division property of equality

Explanation

First, Maria used the distributive property: 4(3x − 8) becomes 12x − 32. Next, she combined like terms, −32 and −4, to get −36. She then added 36 to both sides using the addition property of equality, and divided both sides by 12 using the division property of equality. These methods match choice A.

AI-written and checked against the verified answer.

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