Simplifying Expressions with Properties

In this video, the teacher explains how to simplify expressions using the commutative and associative properties. The process involves reordering numbers and combining like terms, even when parentheses are present. The video demonstrates how to handle expressions with addition and negative numbers, ultimately simplifying them to their most reduced form.

What property allows you to change the order of numbers in an addition operation?

• Identity Property

• Distributive Property

• Associative Property

• Commutative Property

Which of the following is a like term to 3.1y?

• 8.1x

• 4.8

• 0.25y

• 3.3x

How do parentheses affect the associative property in this context?

• They change the order of operations.

• They group numbers to keep negatives intact.

• They are used to multiply terms.

• They have no effect.

What is the result of combining 8.1x and -3.3x?

• 5.2x

• 4.8x

• 3.3x

• 11.4x

What is the simplified form of 3.1y plus -0.25y?

• 2.85y

• 3.35y

• 2.75y

• 3.05y

What is the final step in simplifying the expression?

• Distributing coefficients

• Reordering terms

• Combining like terms

• Adding constants