Simplifying Fractions and Functions

Mr. Boskin guides students through illustrative math problems for grade eight, focusing on comparing functions using equations and tables, analyzing function values, and solving equations. The lesson includes a practical race scenario to determine the winner based on speed and time. Students learn to match function rules with possible inputs and solve equations step-by-step.

What is the greater value when 'a' equals -3?

• b = -17

• c = -20

• b = -20

• c = -17

If 'c' is 21, what is the corresponding value of 'b'?

• 17

• 15

• 21

• 19

When 'a' is 6, which is greater, 'b' or 'c'?

• c

• They are equal

• Cannot be determined

• b

For which value of 'a' is 'c' greater than 'b'?

• a = 5

• a = 10

• a = -3

• a = 0

Who finishes the mile first, Elena or Lynn?

• Cannot be determined

• Elena

• Lynn

• They finish at the same time

How long does it take Elena to finish a mile?

• 10 minutes

• 7.5 minutes

• 8 minutes

• 9 minutes

Which value cannot be a possible input for the function '3 divided by the input'?

• 1

• 2

• 0

• 3

What value of 'x' makes the equation true after distributing the negative sign?

• 0

• 5/8

• 10/16

• 1

What is the result of adding 14x to both sides of the equation?

• x = 5/8

• 2x = 9

• 16x - 1 = 9

• x = 10/16

What is the simplified form of 10/16?

• 1/2

• 2/3

• 3/4

• 5/8