Using the Distributive Property Answers

Which procedure justifies whether is equivalent to ?

Celia simplified the expression . She checked her work by letting in both expressions. Her work for the original expression is shown below.Celia knows that the simplified expression should also equal 28 when . Which shows Celia’s simpllifed expression?

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

Which is the first step in simplifying the expression 2(x + 3) + 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?

What is the simplified expression for the expression below? 7(x – 4) – 3(x + 5)

What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)

What is the simplified expression for the expression below? –1(2x + 3) – 2(x – 1)

Giovanni justifies whether the expression –4x – 8 is equivalent to by letting in both expressions. What is the value of each expression when ?

Jaleel and Lisa are simplifying the expression as shown.Jaleel’s MethodLisa’s MethodWhose method is correct and why?