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Foundations of Linear Equations Chapter Exam

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!

Page 1

Question 1 1. Find the FALSE statement.

Question 2 2. The point (1, -5) would be found where on the Cartesian plane?

Question 3 3.

Find the slope of the line between the two points:

(3,2) and (-1,3)

Question 4 4. Which pattern of numbers represents a linear equation?

Question 5 5. If the graph below has the equation Ax + By = -4, what must be true about A and B?

Page 2

Question 6 6. What is the slope-intercept form equation of the graph below?

Question 7 7. What are the coordinates of the y-intercept of the equation 5x - 3y = 2?

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

Question 9 9.

What is the y-intercept of this linear equation:

-3x + 2y = 4

Question 10 10. What is the special name for the coordinate (0,0)?

Page 3

Question 11 11. If you have a system of linear equations (two lines), how would you find the solution of the system using graphing?

Question 12 12. Which linear equation has the solutions (2, 4) and (-2, 6)?

Question 13 13. Consider the following two car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals charges 25 cents per mile with no upfront fee. If TC represent the total cost for the car, and n represents the number of miles, which of the following systems of equations best represents this situation?

Question 14 14. What is the slope of a line that is perpendicular to the line y = - 3 x + 1

Question 15 15. If your linear equation is x = 5, find the FALSE statement.

Page 4

Question 16 16. When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?

Question 17 17. If the graph below was written in the slope-intercept form, which of the following would be true?

Question 18 18.

Which of the following represents a valid first step to solving this system of equations using the substitution method?

2x - y = 7

x = 2y - 1

Question 19 19. Which of the following is not a rational number?

Question 20 20. Which quadrant is the ordered pair (-3,-2) in?

Page 5

Question 21 21.

Which equation represents a valid first step to solving the following system of equations using the elimination method if our next step is to add the equations together to eliminate the x variable?

2x - 2y = 5 and -4x + 5y = 11

Question 22 22. If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days, how long could you rent a car for if you had 775 dollars?

Question 23 23. Which of the following is a solution to the system of equations shown in the graph below?

Question 24 24. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

Question 25 25.

Find the solution to the system of equations by substitution:

y = 3x + 1

2x + y = 6

Page 6

Question 26 26.

What is the slope of the following line:

2x + y = 5

Question 27 27. Which linear equation is shown below?

Question 28 28. How would you express a line with a zero slope?

Question 29 29. Which graph does NOT represent a system of equations?

Question 30 30.

Solve the following system of equations:

2x - 3y = 21 and 5x + 4y = 18

Foundations of 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!

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