Evaluating Linear Functions and Rules

The video tutorial explains how to convert mathematical rules into tables and graphs. It begins with an introduction to the concept of inputs and outputs, using simple rules. Two examples are provided: one with the equation y = -3x + 2 and another with y = 2x - 3. Each example demonstrates how to substitute values into the equation, calculate outputs, and plot the resulting points on a graph. The tutorial concludes with a brief summary and encourages students to practice the process independently.

What is the main focus of the lesson introduced at the beginning?

• Learning to solve quadratic equations

• Understanding the history of mathematics

• Exploring geometric shapes

• Transforming rules into tables and graphs

What is the main goal of the lesson as described in the introduction?

• To memorize mathematical formulas

• To understand how to create tables and graphs from rules

• To explore advanced calculus concepts

• To learn about historical mathematicians

In the rule y = -3x + 2, what does the 'x' represent?

• The slope

• The output value

• The input value

• The constant

What is the y-value when x = -2 in the rule y = -3x + 2?

• 4

• 8

• 6

• 2

How do you determine the y-value for a given x in the rule y = -3x + 2?

• Divide x by 3

• Add 3 to x

• Multiply x by -3 and add 2

• Subtract 2 from x

What is the result of substituting x = 1 into the rule y = -3x + 2?

• -1

• 1

• 0

• 2

What is the y-value when x = 2 in the rule y = -3x + 2?

• -4

• 4

• -8

• 8

What is the x-value when y = 0 in the rule y = -3x + 2?

• -2/3

• 2/3

• -3/2

• 3/2

What is the result of substituting x = 0 into the rule y = -3x + 2?

• 2

• 3

• 0

• -2

What is the x-value when y = -1 in the rule y = -3x + 2?

• -1

• 2

• 1

• 0