Coordinate Geometry and Basic Algebra Concepts

The video tutorial covers practice problems from unit 7, lesson 12. It begins with plotting points on a coordinate plane, followed by selecting intervals for graph axes. The tutorial then demonstrates forming a square with points centered at the origin. It explains using positive and negative numbers to represent changes. The video also includes calculating the cost of notebooks using equations and determining water usage per acre in a cornfield.

What is the correct way to label the axes on a coordinate plane?

• X-axis is vertical, Y-axis is horizontal

• X-axis is horizontal, Y-axis is vertical

• Both axes are horizontal

• Both axes are vertical

If you have points like -50, 0, what interval is suitable for the axes?

• Intervals of 10

• Intervals of 50

• Intervals of 25

• Intervals of 100

Which set of points forms a square with the origin at the center?

• (1,1), (1,-1), (-1,-1), (-1,1)

• (2,2), (2,-2), (-2,-2), (-2,2)

• (3,3), (3,-3), (-3,-3), (-3,3)

• (4,4), (4,-4), (-4,-4), (-4,4)

How would you represent a loss of 10 points?

• Zero

• Positive 10

• Negative 10

• Positive 5

What does a positive number represent in terms of elevation?

• At sea level

• Below sea level

• Undetermined

• Above sea level

If a gain of 50 yards is represented, what type of number is used?

• Negative 25

• Negative 50

• Positive 50

• Zero

What is the cost equation for buying notebooks at $1.75 each?

• C = 1.75n

• C = 1.75 + n

• C = n/1.75

• C = n - 1.75

Which of the following points could be on the graph of the equation C = 1.75n?

• (4, 6.00)

• (3, 5.25)

• (2, 3.50)

• (1, 1.75)

How many gallons of water per acre are needed if a cornfield requires 15 million gallons for 28.6 acres?

• About 200,000 gallons

• About 300,000 gallons

• About 500,000 gallons

• About 1,000,000 gallons

What is the result of dividing 15 million gallons by 28.6 acres?

• About 400,000

• About 300,000

• About 200,000

• About 500,000