Using the Distributive Property

Question 1

Pierre correctly simplified an expression. When he substituted into the simplified expression, the value was 20. Which could be Pierre’s original expression?

Revolt · Accepted Answer

2(7x – 4)

Question 2

Which procedure justifies whether is equivalent to ?

Revolt · Accepted Answer

The expressions are not equivalent because and .

Question 3

What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)

Revolt · Accepted Answer

9x + 17

Question 4

Arianna correctly simplified an expression. When she substituted into the simplified expression, the value was –4. Which could be Arianna’s original expression?

Revolt · Accepted Answer

One-sixth (negative 10 x minus 4)

Question 5

Sophia determined that the expression is equivalent to –2x – 5 by using the steps below. Expression: Expression: –2x – 5 Step 1:Choose a value of xChoose .Choose .Step 2: SubstituteStep 3: EvaluateStep 4:CompareSince –3 = –3, the two expressions are equivalent.Which explains whether Sophia is correct?

Revolt · Accepted Answer

She is not correct because she did not substitute the same number in both expressions in Step 1.

Using the Distributive Property Answers

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