Understanding Speed, Equations, and Diagrams

This video tutorial covers various mathematical problems for seventh-grade students. It begins with solving equations mentally, followed by completing magic squares where each row, column, and diagonal sum to the same number. The tutorial then demonstrates how to draw tape diagrams to represent equations and select equations that match these diagrams. Finally, it explains how to calculate unit rates for car speeds. The video concludes with a call to action for viewers to support the channel.

If 2 times a number equals 10, what is the number?

• 4

• 6

• 5

• 3

In a magic square, if the sum of each row, column, and diagonal is 9, what is the missing number in the row 7, _, 2?

• 3

• 0

• 1

• 2

Which of the following is a correct representation of the equation 5(x + 1) = 20 using a tape diagram?

• 6 blocks of x + 1

• 4 blocks of x + 1

• 5 blocks of x + 1

• 3 blocks of x + 1

Which equation matches the tape diagram showing 35 equals 8 plus 6 times a number?

• 35 = 8 + 6x

• 35 = 6x + 8

• 35 = 6 + 8x

• 35 = 8x + 6

Which of the following is NOT a correct equation for the tape diagram showing 35 equals 8 plus 6 times a number?

• 35 = 6x + 8

• 35 = 8 + 6x

• 35 = 6 + 8x

• 35 = 8 + 6x

A car travels 135 miles in 3 hours. What is its speed in miles per hour?

• 55 mph

• 50 mph

• 45 mph

• 40 mph

If a car travels 22 miles in half an hour, how far does it travel in one hour?

• 44 miles

• 33 miles

• 66 miles

• 55 miles

A car travels 7.5 miles in one-fourth of an hour. What is its speed in miles per hour?

• 30 mph

• 25 mph

• 20 mph

• 15 mph

If a car travels 100/3 miles in two-thirds of an hour, what is its speed in miles per hour?

• 50 mph

• 45 mph

• 60 mph

• 55 mph

A car travels 97.5 miles in 1.5 hours. What is its speed in miles per hour?

• 75 mph

• 70 mph

• 65 mph

• 60 mph