Mathematical Operations and Relationships

This video tutorial covers various mathematical concepts for seventh-grade students. It begins with plotting positions on a number line, followed by understanding speed and direction through cycling examples. The tutorial then moves on to solving expressions and calculating values, including tax calculations on non-food items. It also explores writing equations to express relationships and identifying proportional relationships in graphs. The video concludes with a call to support the channel.

On a number line, if north is positive, where would you plot a point that is 3.5 miles south of a truck stop?

• At +3.5

• At -3.5

• At +5

• At 0

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

• As 0 mph

• As -5 mph

• As 5 mph

• As +5 mph

If Diego cycles at -4 meters per second, how far will he be from the starting point after 5 seconds?

• 25 meters to the east

• 20 meters to the east

• 25 meters to the west

• 20 meters to the west

What is the result of 16.2 plus negative 8.4?

• 16.2

• 24.6

• 8.4

• 7.8

Calculate the value of negative 4 and 3/8 minus a negative 1 and 1/4.

• Negative 5 and 1/8

• Negative 3 and 1/4

• Negative 5 and 1/4

• Negative 3 and 1/8

If the total tax paid on non-food items is 19 cents, what is the total cost of the napkins and paper plates before tax?

• $0.19

• $8.25

• $4.45

• $3.80

How much did the watermelon cost if the total bill was $8.25 and the non-food items cost $3.80?

• $4.45

• $3.80

• $8.25

• $0.19

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

• 5 - 3 = 2

• 5 + 2 = 3

• 3 - 2 = 5

• 2 + 5 = 3

Which graph does not represent a proportional relationship?

• A straight line not through the origin

• A curved line through the origin

• A straight line through the origin

• A curved line not through the origin

What is the equivalent equation for 7.1 + 3.4 = 10.5?

• 10.5 + 3.4 = 7.1

• 3.4 + 10.5 = 7.1

• 7.1 - 3.4 = 10.5

• 10.5 - 7.1 = 3.4