Mathematical Problem Solving

Mr. Boskin presents a math lesson covering various topics including moon illumination prediction, volume calculation using marbles, solving equations, analyzing linear functions, and solving a garden perimeter problem. The lesson is designed for grade 8 students and includes practical applications of math concepts in science and everyday scenarios.

On which day is the moon predicted to be fully illuminated based on the initial calculations?

• Day 12

• Day 25

• Day 14

• Day 33

What is the volume of one marble if the water level rises by 1 milliliter when two marbles are added?

• 2 milliliters

• 0.25 milliliters

• 0.5 milliliters

• 1 milliliter

If the initial water level is 8 milliliters, what will it be after adding 13 marbles?

• 18 milliliters

• 16 milliliters

• 14.5 milliliters

• 11.5 milliliters

What is the slope of the line representing the relationship between the number of marbles and the water level?

• 0.25

• 2

• 0.5

• 1

What is the value of x in the equation 3x + 2 = 2x + 14?

• 10

• 6

• 4

• 8

What is the value of y in the equation 5y + 13 = -43?

• -4

• -7

• -6

• -5

What is the slope of the temperature change in the city over time?

• 1

• 2

• 3

• 4

What is the perimeter of the vegetable garden if the length is 11 and 1/3 feet and the width is 4 and 2/3 feet?

• 28 feet

• 30 feet

• 32 feet

• 34 feet

If the length of the garden is two feet more than twice the width, what is the width if the length is 11 and 1/3 feet?

• 6 feet

• 5 feet

• 4 and 2/3 feet

• 3 and 1/3 feet

What is the length of the garden if the width is 4 and 2/3 feet and the length is two feet more than twice the width?

• 12 feet

• 9 feet

• 10 feet

• 11 and 1/3 feet