# Proportional Relationships & Linear Equations Chapter Exam

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#### Question 1 1. John travels in a car moving at a constant speed. The distance he travels is directly proportional to time. If John travels 360 miles in 8 hours, how far will he travel in 20 hours.

#### Question 2 2. A cylinder contains nitrogen gas at a temperature of 300 Kelvin and a pressure of 15 atmospheres in a volume of 100 liters. Calculate the proportionality constant k. Calculate the temperature of the nitrogen gas if a piston is used to reduce the volume of the gas to 80 liters.

#### Question 3 3. Write a general formula to describe the following variation: F is directly proportional to the square of d, and F = 40 when d = 5.

#### Question 4 4. The distance H that a ball falls is directly proportional to the square of the time t of the fall. If a ball falls 16 feet in 1 second, how far will it fall in 3 seconds? How long will it take a ball to fall 64 feet?

#### Question 5 5. The length and steepness of a line that shows the rate of change between two values is called the _____.

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Question 6
6.
What is the best equation for the following scenario?

A mountain climber starts at the bottom of a mountain and climbs at a rate of 20 feet per hour. What equation represents his rate of climbing?

####
Question 7
7.
Which scenario is the best fit for the linear equation?

y=200x +1200

####
Question 8
8.
What is the correct equation for the following scenario?

Alex wants to figure out how much money she will make at the end of the week. She is making $12.50 an hour plus a $20 bonus.

#### Question 9 9. In a certain bag, the ratio of red to green to blue beads is 1:2:3. There are 5 red beads. How many blue beads are there?

#### Question 10 10. In Samantha's garden, the ratio of sunflowers to marigolds is 4:5. If Samantha has 45 flowers total in her garden, how many sunflowers does she have?

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#### Question 11 11. For every 3 dogs he owns, Paul needs 8 pounds of dog food per day. How many pounds of dog food will he need for 9 dogs for 2 days?

#### Question 12 12. On an adventure quest, the hero fights werewolves and vampires in a ratio of 2:5. If he fights 28 werewolves in total, how many vampires does he fight?

#### Question 13 13. Which of the following is an example of a linear relation?

#### Question 14 14. What is the main characteristic of a model of a linear relation?

#### Question 15 15. Which of the following models the relation of the equation

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#### Question 16 16. Which of the following are true?

#### Question 17 17. What is the slope of a line passing through (-5, -2) and (4, 1)?

#### Question 18 18. Find the slope of this line: 4y - x = 0

#### Question 19 19. What is the slope of a line passing through (-3, 4) and (2, -2)?

#### Question 20 20. What is the slope of a line passing through (2, 2) and (3, 5)?

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Question 21
21.
When you have a set of points with a constant ratio, what is the *y*-intercept of the line passing through these points?

#### Question 22 22. Which of the following is the slope of the line passing through all the points with the same constant ratio?

####
Question 23
23.
What *x*:*y* constant ratio do the points (4, 3), (8, 6), and (16, 12) have?

####
Question 24
24.
Which of the following has a *x*:*y* constant ratio of 2:3?

#### Question 25 25. What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

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#### Question 26 26. Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?

#### Question 27 27. What are the coordinates of the y-intercept of the equation 5x - 3y = 2?

#### Question 28 28. Which linear equation is shown below?

#### Question 29 29. The volume of a sphere is directly proportional to the cube of its radius, r. The constant of proportionality is 4pi/3. Calculate the volume of the sphere when the radius is 2 cm.

####
Question 30
30.
Which scenario best fits the linear equation?

y=-2x + 5

#### Proportional Relationships & Linear Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!