Exploring Equivalent Expressions in Grade 6 Math

This video tutorial focuses on writing equivalent expressions using diagrams and properties of operations. It explains when expressions are equivalent, introduces the commutative property, and demonstrates the distributive property with examples. The video also covers how to simplify calculations using these properties.

When are the expressions 'x + 9' and '4x' considered equal?

• Never

• When x is 3

• For all values of x

• When x is 4

Which property explains why 'x + 3' is always equal to '3 + x'?

• Associative property

• Identity property

• Commutative property

• Distributive property

What does 'a + a + a + a + a' simplify to?

• 5a

• a^5

• None of the above

• 10a

What is the equivalent expression for 'b divided by 3'?

• 3b

• b/3

• b - 3

• 1/3b

How can the area of a rectangle be simplified if one side is broken into segments?

• By adding the areas of segments

• By multiplying the segments

• By dividing the total area by the number of segments

• None of the above

What is the result of applying the distributive property to '5 times (20 + 9)'?

• 29

• 100

• 150

• 145

What property is used when breaking up factors in a multiplication expression?

• Identity property

• Distributive property

• Associative property

• Commutative property

What is the area of the large rectangle if one side is '3' and the other is '2 + x'?

• 6 + 3x

• 5 + x

• 5 + 3x

• 6x

Which expression shows the distributive property?

• All of the above

• 6 + 3x

• 3x + 6

• 3(x + 2)

What does the expression '3 times (2 + x)' simplify to using the distributive property?

• 6 + 3x

• 5 + x

• 5 + 3x

• 6x