Exploring Properties of Addition and Multiplication

This lesson covers the properties of addition and multiplication, focusing on identifying and generating equivalent expressions. Key properties discussed include the commutative and associative properties, with examples illustrating their application. The lesson also explores the multiplication and zero property, emphasizing the importance of understanding constants, coefficients, and terms in expressions. A practical example involving a basketball team is used to demonstrate how to apply these concepts in real-world scenarios.

What are the components of an expression?

• Constants, variables, and equations

• Constants, coefficients, and terms

• Variables, equations, and terms

• Numbers, symbols, and terms

What does the commutative property allow you to do?

• Add constants and variables

• Change the grouping of terms

• Change the order of terms

• Multiply constants and variables

Which property involves using parentheses to group terms?

• Associative property

• Identity property

• Distributive property

• Commutative property

How do you simplify the expression 12 + 7 + x?

• 19x

• 12 + 7x

• 12x + 7

• 19 + x

What is the equivalent expression for 6.1 + 8.4 + x?

• 14.5x

• 6.1x + 8.4

• 14.5 + x

• 6.1 + 8.4x

What is the result of multiplying 5 by 11y?

• 5y + 11

• 5 + 11y

• 55

• 55y

What happens when you multiply any number by zero?

• The result is the number itself

• The result is one

• The result is undefined

• The result is zero

What is the simplified form of 4.5 * 1 * R?

• 4.5R

• R

• 4.5 + R

• 4.5 * R

How many t-shirts are needed if you and six friends are on a team?

• 5

• 8

• 7

• 6

What is the total cost if each t-shirt costs $14.50 and there are 7 t-shirts?

• $101.50

• $145.00

• $203.00

• $269.71