Mathematical Concepts and Problem Solving

The video tutorial covers several mathematical concepts for seventh-grade students. It begins with an explanation of position, speed, and direction using a number line and a truck stop example. The tutorial then explores speed and direction through cycling scenarios, emphasizing positive and negative values. It continues with solving mathematical expressions, including addition, subtraction, and fractions. The video also explains calculating costs with tax using a shopping example. It further explores equations and their relationships, demonstrating how to express the same relationship in different ways. Finally, the tutorial identifies proportional relationships in graphs, focusing on lines that start at the origin.

On a number line, if the truck stop is at 0 and a point is 5 miles north, where would it be located?

• At -3.5

• At -5

• At 5

• At 0

How can you represent traveling west at 5 miles per hour using a sign?

• Both signs

• No sign

• Negative sign

• Positive sign

If Diego cycles at -4 meters per second, where would he be after 5 seconds?

• 30 meters to the right

• 20 meters to the left

• 30 meters to the left

• 20 meters to the right

What is the result of 16.2 plus negative 8.4?

• 8.4

• 7.8

• 24.6

• 16.2

How do you solve negative 4 and 3/8 minus a negative 1 and 1/4?

• Add 4 and 3/8

• Subtract 4 and 3/8

• Subtract 1 and 1/4

• Add 1 and 1/4

If the total cost before tax is $8.25 and the tax paid is $0.19, what is the cost of the watermelon?

• $3.80

• $4.45

• $8.25

• $0.19

What is the total price of napkins and paper plates if the tax is $0.19 at a 5% rate?

• $0.19

• $8.25

• $4.45

• $3.80

Which of the following equations is equivalent to 3 + 2 = 5?

• 5 - 3 = 2

• 2 + 3 = 6

• 5 + 2 = 3

• 3 - 2 = 5

Which graph does not represent a proportional relationship?

• A straight line through the origin

• A curved line

• Both B and C

• A straight line not through the origin

What is the result of 7.1 + 3.4?

• 11.5

• 3.4

• 7.1

• 10.5