Using the Distributive Property

Question 1

Ranger was given this expression to simplify. 4(2x – 5)What advice to simplify the expression would you give Ranger? Check all that apply.

Revolt · Accepted Answer

This expression can be simplified by using the distributive property.; The 4 will be multiplied to each term inside the parentheses.; A simplified expression is equivalent to the original expression.

Question 2

Which of the following did you include in your response?

Revolt · Accepted Answer

Ranger is incorrect.; There are no parentheses and no like terms remaining.; 8x and 20 are not like terms.

Question 3

Question 3

Revolt · Accepted Answer

8

Question 4

Ranger wants to verify that the expression 8x – 20 is the correct simplified expression for 4(2x – 5). Explain how to verify the simplified expression.

Revolt · Accepted Answer

Distribute 4 to both terms: 4(2x) = 8x and 4(-5) = -20, so 4(2x - 5) = 8x - 20. You can also substitute the same number for x in both expressions and use order of operations; if the values match, the expressions are equivalent.

Question 5

What was Ranger’s simplified expression?

Revolt · Accepted Answer

0.1x + 18.2

Question 6

What should Ranger write for step 3?

Revolt · Accepted Answer

7x - 3

Question 7

Which of the following did you include in your response?

Revolt · Accepted Answer

Substitute a number for x in both expressions.; Use order of operations to determine the value.; Equal values represent equivalent expressions.

Using the Distributive Property Answers

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