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ACT Math: 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!

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Question 1 1. Which of these equations represents a line that is perpendicular to the line in the graph below?

Question 2 2. What is the equation of a line with slope of 2 and a y-intercept of -6?

Question 3 3.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

Question 4 4. 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 5 5. 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?

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Question 6 6. What is the slope of a line that is perpendicular to y = 3x + 1?

Question 7 7. Based on this graph, what is the solution to the system of equations?

Question 8 8. A car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots, some that cost $3,000 and some that cost $2,000. If the company is sure that it wants to spend all of its money on 16 new robots, how many of each should it purchase?

Question 9 9.

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 10 10. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

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Question 11 11. Which of the following is a solution to the system of equations shown in the graph below?

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

Question 13 13.

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 14 14. Which graph does NOT represent a system of equations?

Question 15 15. Which linear equation is shown below?

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Question 16 16. Which graph represents a linear equation?

Question 17 17. Which pattern of numbers represents a linear equation?

Question 18 18.

Solve the following system of equations:

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

Question 19 19. What are the coordinates of the y-intercept of the equation 5x - 3y = 2?

Question 20 20. 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?

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Question 21 21. What is the equation of the graph below?

Question 22 22. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

Question 23 23. What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

Question 24 24. Find the line below for which the WRONG slope is given.

Question 25 25. Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?

ACT Math: 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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