Identifying Equivalent Expressions with Distributive Property

The video tutorial explains how to determine equivalent expressions using the distributive property. It begins by simplifying the expression 2(3x + 4) and identifying equivalent expressions from a set of options. The tutorial demonstrates the use of the distributive property and combining like terms to verify equivalency. It concludes with a practice problem for viewers to apply the concepts learned.

What is the result of applying the distributive property to 2(3x + 4)?

• 6x + 4

• 8 + 6x

• 5x + 8

• 6x + 8

Which expression is NOT equivalent to 2(3x + 4)?

• 6x + 4

• 5x + 8

• 8 + 6x

• 6x + 8

What property allows you to simplify 2(3x + 4) to 6x + 8?

• Commutative property of addition

• Distributive property

• Identity property of addition

• Associative property of multiplication

Is the expression 8 + 6x equivalent to 6x + 8?

• Yes, because the order of addition does not change the sum.

• No, because one has a coefficient of 8.

• Yes, but only if x is a specific value.

• No, because the terms are in a different order.

What is the simplified form of 2(4 + 3x)?

• 6x + 4

• 7x + 8

• 8x + 8

• 8 + 6x

Which of the following is not a step in simplifying expressions?

• Multiplying coefficients

• Applying the distributive property

• Changing the order of terms arbitrarily

• Combining like terms

What makes two terms like terms?

• They both have an exponent of 1.

• They are both products of the distributive property.

• They have the same variable or no variable at all.

• They have the same coefficient.

How can you simplify 3x + 4 + 3x + 4?

• 6x + 8

• 12x + 8

• 6x + 4

• 3x + 8

Which expressions are equivalent to 4(5x + 6)?

• 20x + 24

• 20x + 6

• 4x + 24

• 24 + 5x

What should you do if your solution to the practice problem is incorrect?

• Review your work and identify the mistake.

• Skip the problem and move on.

• Assume the video was incorrect.

• Change your answer randomly until it is correct.