Mathematical Operations and Rules

The 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 activity called 'Guess My Rule' to explore how rules transform inputs into outputs. The lesson includes exercises on filling input-output tables and concludes with a summary and homework instructions.

Why is it impossible to divide a number by zero?

• Because zero is an even number

• Because zero is a prime number

• Because zero is not a real number

• Because any number multiplied by zero is zero

What is the rule applied to the input '1' to get the output '0.5'?

• Divide by 2

• Add 0.5

• Subtract 0.5

• Multiply by 2

If the input is '2' and the rule is to multiply by 3, what is the output?

• 3

• 6

• 5

• 9

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

• 140

• 136

• 140

• 140

In the rule 'name the digit in the tenths place', what is the output for the input '2.35'?

• 0

• 5

• 3

• 2

What is the output when the rule is to write '7' regardless of the input?

• The input value plus 7

• The input value

• 7

• 0

What is the reciprocal of the input '4'?

• 1/4

• 4

• 0

• 1

If a pack of test tubes costs $4 less than a set of beakers, and the total cost for 12 beakers and 8 test tubes is $348, what is the cost of one beaker?

• $27

• $15

• $23

• $19

Solve the equation: y = x - 4 and y = 6x - 10. What is the value of x?

• 4

• 3

• 2

• 5

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

• 8

• 7

• 9

• 6