Exploring Equivalent Expressions in Algebra

This video tutorial covers lesson 6 EE 3, focusing on properties that help create equivalent expressions. It explains the commutative, distributive, associative, and identity properties, and demonstrates how to combine like terms. The tutorial also covers using the distributive property and factoring expressions by finding the greatest common factor. Examples are provided to illustrate these concepts, ensuring students understand how to simplify and manipulate expressions effectively.

Which property allows the rearrangement of numbers in addition and multiplication?

• Commutative property

• Distributive property

• Identity property

• Associative property

What does the identity property of addition state about the number zero?

• Adding zero changes the number

• None of the above

• Adding zero keeps the number the same

• Multiplying by zero keeps the number the same

When combining like terms '7x + 2x', what is the resulting expression?

• 10x

• 5x

• 14x

• 9x

If you substitute 'x = 2' in the expression '7x + 2x + 5x', what result do you get?

• 28

• 14

• 42

• 56

What is the result of applying the distributive property to '7(2x + 4)'?

• 14x + 28

• 14x + 11

• 9x + 11

• 9x + 28

After distributing and simplifying '7(2x + 4)', if 'x = 1', what is the value?

• 14

• 28

• 36

• 42

What is the greatest common factor (GCF) used to simplify the expression '36x - 12x'?

• 12

• 24

• 6

• 3

Which expression is equivalent to '36x - 12x' after factoring?

• 12x(3 + 1)

• 12x(3 - 1)

• 12x

• 24x

What is the simplified form of '35x - 70' using the GCF?

• 5(7x - 14)

• 7(5x - 10)

• 35(x - 2)

• 14(2.5x - 5)

If '35x - 70' is factored using the GCF, and further simplified, what is the final expression?

• 5(7x - 14)

• 35(x - 2)

• 70(x - 1)

• 7(5x - 10)