Properties and Simplification of Expressions

This video tutorial by Matt covers unit six, lesson twenty on combining like terms. It explains how to determine if expressions are equivalent using properties like associative, commutative, and distributive. The lesson includes a detailed breakdown of simplifying expressions with examples involving characters Diego and Jada. An activity on making sides of equations equal is also included, followed by a discussion on homework and problem-solving strategies.

What property allows you to add numbers in any order?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

Which property is used when you factor out a common term from an expression?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

In the expression 11a - 2a, what is the common factor?

• a

• 9

• 2

• 11

What is the result of simplifying 8a - 8a - 8?

• a

• 0

• 8

• 16

Diego and Jada are simplifying an expression. What is Diego's final simplified expression?

• 10a + 1b

• 4a + 9b

• 7a + 5b

• 3a + 4b

What is the missing term in the equation 6x + ? = 10x?

• 4x

• 2x

• 6x

• 10x

If 6x + ? = 2, what is the missing term?

• -4x

• 4x

• 2x

• -2x

Which of the following expressions is equivalent to 9x - (5 + 6x)?

• 9x + 6x - 5

• 3x - 5

• 15x - 5

• 3x + 5

What inequality represents a student who read at least 25 books?

• x > 25

• x < 25

• x ≥ 25

• x ≤ 25

If a bucket is being filled at a constant rate, what information is needed to determine when it will be full?

• The height of the bucket

• All of the above

• The size of the bucket

• The water flow rate