Algebra 1_Direct Variation and Dimensional Analysis Quiz

Identify the direct variation equation from the following options: a) y = 2x b) y = x + 3 c) y = x^2

• a) y = 2x

• c) y = x^2

• b) y = x + 3

• d) y = 3x - 1

Solve the direct variation problem: If y varies directly as x, and y = 10 when x = 5, find the value of y when x = 8.

• y = 12

• y = 3

• y = 16

• y = 25

If y varies directly as x, and y = 15 when x = 3, find the value of y when x = 9.

• 45

• 60

• 25

• 30

Convert 3.5 meters to centimeters using dimensional analysis.

• 35

• 3.5

• 350

• 500

Convert 500 grams to kilograms using dimensional analysis.

• 0.05 kilograms

• 0.5 kilograms

• 50 kilograms

• 5 kilograms

Apply dimensional analysis to solve the following real-life scenario: If a car travels at a speed of 60 miles per hour, how many kilometers does it travel in 3 hours?

• 400 kilometers

• 120 kilometers

• 60 kilometers

• 289.68 kilometers

Explain the concept of direct variation and provide an example to illustrate it.

• Direct variation is a relationship between two variables where one variable stays constant as the other variable changes. For example, if the number of hours worked increases, the amount of money earned stays the same.

• Direct variation is a relationship between two variables where one variable increases as the other variable decreases, or one variable decreases as the other variable increases. For example, if the number of hours worked decreases, the amount of money earned also decreases in direct variation.

• Direct variation is when one variable increases and the other variable decreases. For example, if the number of hours worked increases, the amount of money earned decreases.

• Direct variation is a relationship between two variables where one variable increases as the other variable increases, or one variable decreases as the other variable decreases. For example, if the number of hours worked increases, the amount of money earned also increases in direct variation.

What is the relationship between the variables in a direct variation equation?

• One variable is a constant multiple of the other

• The variables have an inverse relationship

• The variables are always equal to each other

• The variables are unrelated to each other

Which of the following represents a direct variation relationship: a) y = 4x + 7 b) y = 3x c) y = x^3

• a) y = 4x + 7

• b) y = 3x

• c) y = x^3

• d) y = 5x - 2

Convert 750 grams to kilograms using dimensional analysis.

• 0.75 kilograms

• 7.5 kilograms

• 75 kilograms

• 7500 kilograms