Mathematical Concepts and Problem Solving

This video tutorial covers Unit 7 Lesson 11 on points on the coordinate plane. It begins with an introduction to plotting points on a coordinate plane, explaining how to move along the x-axis and y-axis. The tutorial then demonstrates how to write coordinates for points on a graph and form a horizontal line with given points. It includes a problem-solving section on temperature differences using a number line and a practical example of calculating money from chocolate box sales. Finally, it calculates Lynn's running speed and distance, emphasizing constant speed calculations.

What is the correct order of coordinates for a point located 2 units left and 3 units up from the origin?

• (-3, 2)

• (3, -2)

• (-2, 3)

• (2, 3)

If a point is located directly on the x-axis at 1 unit, what are its coordinates?

• (0, 1)

• (1, 0)

• (0, 0)

• (1, 1)

Which of the following points lies on the horizontal line formed by the points (-3.5, 4), (0, 4), and (6.2, 4)?

• (2, 5)

• (2, 4)

• (4, 3)

• (4, 5)

If Tucson is 24 degrees warmer than Minneapolis and their temperatures are opposites, what is the temperature in Tucson?

• 24 degrees Celsius

• 0 degrees Celsius

• 12 degrees Celsius

• -12 degrees Celsius

How much money is collected if 3 boxes of chocolate bars are sold, each containing 20 bars at $1.50 per bar?

• $90

• $120

• $60

• $45

What is the equation for the amount of money collected (m) if b boxes are sold?

• m = 1.5b

• m = 30b

• m = 20b

• m = 50b

If 240 dollars were collected, how many boxes of chocolate were sold?

• 6

• 7

• 9

• 8

What is the speed of Lynn if she runs 29 meters in 10 seconds?

• 2.9 meters per second

• 3.0 meters per second

• 2.5 meters per second

• 3.5 meters per second

How far can Lynn run in one minute at her current speed?

• 150 meters

• 174 meters

• 180 meters

• 200 meters

Which variable is independent in the equation m = 30b?

• m (money collected)

• b (boxes sold)

• Both m and b

• Neither m nor b