Exploring Input/Output Tables and Functions

The video tutorial covers two-step rules in input-output tables, demonstrating how to solve these problems with examples. It introduces toothpick tables using pentagons to illustrate patterns and explores finding function rules for these tables. The tutorial emphasizes understanding operations and setting up problems correctly to find solutions efficiently.

What is the first step in solving the equation 2R + 6 = K when R = 2?

• Subtract 6 from 2

• Add 6 to 2

• Multiply 2 by 6

• Multiply 2 by 2

If R = 4, what is the value of K in the equation 2R + 6 = K?

• 14

• 12

• 16

• 10

In the equation H = 40 - 3C, what operation is performed first?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of H when C = 3 in the equation H = 40 - 3C?

• 40

• 37

• 33

• 31

How many toothpicks are needed to make two pentagons sharing a side?

• 10

• 9

• 8

• 7

If three pentagons share sides, how many toothpicks are required?

• 11

• 12

• 13

• 14

What is the first step in finding the rule for the number of toothpicks needed for pentagons?

• Multiply the number of pentagons by 4

• Subtract 1 from the number of pentagons

• Multiply the number of pentagons by 3

• Add 5 to the number of pentagons

What is the rule for calculating the number of toothpicks needed for any number of pentagons?

• 3p + 1

• 4p + 1

• 4p + 2

• 5p + 1

How many toothpicks are needed for 4 pentagons sharing sides?

• 15

• 16

• 17

• 18

Using the rule 4p + 1, how many toothpicks are needed for 70 pentagons?

• 280

• 281

• 283

• 282