Function Concepts and Distributive Property

This video is the first part of a midterm review for the 2021-2022 academic year. It covers key algebraic concepts such as the distributive property, combining like terms, and order of operations. The video also explains how to identify functions using mapping and tables. The instructor provides step-by-step examples and emphasizes the importance of using a calculator correctly. The video concludes with a reminder to practice and a preview of the next part of the review.

What is the result of applying the distributive property to 6(p + m + 9)?

• 6p + 6m + 54

• 6p + 6m + 9

• 6p + m + 54

• p + 6m + 54

When using the distributive property, what should you do if the number outside the parentheses is negative?

• Multiply normally and change the sign of the result

• Multiply normally without changing any signs

• Ignore the negative sign

• Add the negative number to each term inside

Which operation should be performed first according to the order of operations?

• Addition

• Multiplication

• Parentheses

• Subtraction

How should you handle fractions in a calculator when performing order of operations?

• Ignore them

• Use a different calculator

• Convert them to decimals

• Move the cursor to the right after entering the fraction

What is the result of combining like terms in the expression m + 2x + m + m + x?

• 4m + 2x

• 3m + 2x

• 3m + 3x

• 4m + 3x

In the expression 3(6b - 2) + 4b, what is the result after combining like terms?

• 18b - 2

• 22b - 6

• 22b + 6

• 18b + 4b

What must be true for a set of ordered pairs to be considered a function?

• Each input has exactly one output

• Each input has multiple outputs

• Each output has multiple inputs

• Each output has exactly one input

In a table, what indicates that the relation is not a function?

• Unique x-values

• Repeated x-values

• Unique y-values

• Repeated y-values

Which of the following mappings represents a function?

• An output with one arrow going in

• An output with two arrows going in

• An input with one arrow going out

• An input with two arrows going out

What should you focus on to determine if a set of ordered pairs is a function?

• The y-values

• The x-values

• The sum of x and y values

• The difference between x and y values