Using the Distributive Property Answers

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

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

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?

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

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

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

Darren and Quincy wanted to justify that the expression is equivalent to . Their justifications are shown below.Darren’s Method: Substitute 2 into both expressionsQuincy’s Method: Substitute 6 into both expressionsWhich explains who is correct?

Which expression is equivalent to 6(x – 4)?

Pablo is simplifying the expression below.He used the steps below to simplify the expression.Which statement is true about the steps that Pablo used to simplify the expression?

Zoe, Latoya, Christina, and Rhoda each used a different method to verify that . ZoeLatoyaChristinaRhodaStep 1Substitute opposite values of x into both expressions.Substitute the same value of x into both expressions.Substitute opposite values of x into both expressions.Substitute the same value of x into both expressions.Step 2The expressions are equivalent if the values of the expressions are equal. The expressions are equivalent if the value of one of the expressions is zero. The expressions are equivalent if the values of the expressions are opposites. The expressions are equivalent if the values of the expressions are equal. Whose method can be used to verify that the distributive property was correctly applied to the expression?