Mathematical Concepts and Problem Solving

This video provides a walkthrough of a Grade 7 mathematics practice test, covering topics such as proportional relationships, temperature differences, calculating tips, unit rates, surface area, and simplifying expressions. The instructor explains each problem, demonstrating how to approach and solve them, while highlighting key mathematical concepts and techniques.

What is the main purpose of the practice test video?

• To introduce new mathematical concepts.

• To provide a detailed teaching session.

• To offer solutions and insights into problem-solving.

• To test the viewer's knowledge without guidance.

How can you identify the constant of proportionality in a graph?

• By finding the slope of the line.

• By checking the x-intercept.

• By dividing any y-value by its corresponding x-value.

• By looking at the y-intercept.

What is the difference in freezing temperatures between chloroform and ethanol?

• 48.7 degrees Celsius

• 63.5 degrees Celsius

• 55.1 degrees Celsius

• 51.2 degrees Celsius

How do you calculate the total cost of a meal including a 15% tip?

• Subtract 15% from the meal cost.

• Multiply the meal cost by 0.15 and add to the meal cost.

• Add 15 to the meal cost.

• Multiply the meal cost by 1.15.

What does the y-coordinate represent in a graph showing unit rates?

• The average cost of units.

• The total number of units.

• The total cost for multiple items.

• The cost per single unit.

What is the area of one face of a three-dimensional figure with a total surface area of 26 cm² and a base area of 5 cm²?

• 5 cm²

• 7 cm²

• 8 cm²

• 6 cm²

Which equation represents a proportional relationship with a constant of proportionality of 1/2?

• y = 0.5x

• y = x + 5

• y = 2x

• y = 1.5x

What is the result of dividing -1 by 3/5?

• 3/5

• 5/3

• -3/5

• -5/3

How do you simplify the expression -2(w - 3) + 5(6w + 4)?

• 28w + 26

• -2w + 30w - 20

• -2w + 30w + 20

• 28w - 26

Which city had the greatest difference in temperature?

• Helena

• Lima

• Biddle

• Malta