Distance, Direction, and Basic Arithmetic

This 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 scenario. The tutorial then explores cycling speeds and directions, solving mathematical expressions, calculating costs with tax, and understanding equations and their relationships. Finally, it discusses identifying proportional relationships in graphs. The video emphasizes practical applications and problem-solving techniques.

If a truck stop is at position 0 on a number line, where would you place a point that is 7 miles south?

• At 0

• At -7

• At +7

• At +3.5

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

• At +3.5

• At -3.5

• At 0

• At +5

If a point is 5 miles north of a truck stop, where would it be on a number line?

• At -5

• At +5

• At +3.5

• At 0

If a point is 3.5 miles south of a truck stop, where would it be on a number line?

• At +5

• At 0

• At -3.5

• At +3.5

If a point is 5 miles north of a truck stop, where would it be on a number line?

• At +3.5

• At 0

• At -5

• At +5

If a point is 3.5 miles south of a truck stop, where would it be on a number line?

• At +3.5

• At 0

• At -3.5

• At +5

If a point is 5 miles north of a truck stop, where would it be on a number line?

• At +5

• At +3.5

• At -5

• At 0

How would you represent traveling 5 miles per hour west using signs?

• +5 mph

• -5 mph

• +10 mph

• 0 mph

If Diego cycles at -4 meters per second, how far does he travel in 5 seconds?

• 25 meters east

• 20 meters east

• 20 meters west

• 25 meters west

How would you represent traveling 5 miles per hour east using signs?

• +5 mph

• -5 mph

• 0 mph

• +10 mph