Input-Output Rules and Functions

This video tutorial covers Math 8, Unit 5, Lesson 1, focusing on inputs and outputs. It begins with an introduction to the concept of inputs and outputs, followed by an explanation of why division by zero is undefined. The lesson includes an activity called 'Guess My Rule,' where students deduce rules from given inputs and outputs. The tutorial also features exercises on input-output tables, emphasizing the importance of following rules to achieve correct outputs. The session concludes with a summary and homework instructions.

What is the result of dividing any number by zero?

• The number itself

• Zero

• Infinity

• Undefined

In the 'Guess My Rule' activity, what happens to the input number 1?

• It remains 1

• It becomes 1.5

• It doubles

• It becomes 0.5

What is the rule applied to the input number 2 in the 'Guess My Rule' activity?

• Multiply by 2

• Divide by 2

• Add 1

• Subtract 1

What is the output when the input is 34s and the rule is to add 1 and multiply by 4?

• 10

• 8

• 9

• 7

What is the key takeaway about input-output rules?

• All inputs are allowable

• Outputs are always greater than inputs

• Some inputs may not work with certain rules

• Rules do not affect outputs

In the homework section, what is the rule applied to the input 0?

• Multiply by 4 and subtract 2

• Divide by 4 and add 2

• Subtract 4 and multiply by 2

• Add 4 and divide by 2

What is the cost of a test tube if it is $4 less than a beaker costing $19?

• $17

• $15

• $18

• $16

What is the solution to the equation y = x - 4 and y = 6x - 10?

• x = 5

• x = 8

• x = 6

• x = 7

For what value of x do the expressions 2x + 3 and 3x - 6 have the same value?

• x = 7

• x = 8

• x = 9

• x = 10