QUESTION IMAGE
Question
distribution area model (algebraic)
score: 3/5 penalty: 1 off
question
enter the missing values in the area model to find 5(3m - 3)
area model with 5 at the top, 3m and -3 on the side, 15m and -15 in the rectangles
answer attempt 2 out of 2
according to the model above, 5(3m - 3) =
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Step1: Recall Distributive Property
The distributive property states that \( a(b + c)=ab + ac \). For \( 5(3m - 3) \), we distribute 5 to both \( 3m \) and \( - 3 \).
Step2: Multiply 5 with \( 3m \)
\( 5\times3m = 15m \)
Step3: Multiply 5 with \( - 3 \)
\( 5\times(-3)=-15 \)
Step4: Combine the Terms
Using the distributive property, \( 5(3m - 3)=15m-15 \)
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\( 15m - 15 \)