Linear Equations & Systems Lesson Plans 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. If 2x + bx = 2 - b, then x =

Question 2 2. Solve for x: 8x - 7 = 5x + 8

Question 3 3. A linear equation can be represented using a _____ graph.

Question 4 4.

Remove the parentheses.


10(x - 1)

Question 5 5. Solve for x: 2x = -18

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Question 6 6. If 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 7 7. What is the equation of a line that passes through the points (2, 4) and (-2, 6)?

Question 8 8. If we have four variables, then how many equations will we have in our system of linear equations?

Question 9 9. Solve the following system of equations.

Question 10 10.

Solve.


2(4x - 3) = 0

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Question 11 11. What is the equation of the graph below?

Question 12 12.

Which equation represents the first step to solving the following system of equations using the elimination method?

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

Question 13 13. Solve for x: x/2 + 1/6 = x - 1/3

Question 14 14. What is the solution to the system of equations shown in the graph below?

Question 15 15. Today, Archie is 27 years older than his son, Peyton. In 4 years, Archie will be 3 years shy of 4 times Peyton's age. How old is Archie today?

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Question 16 16. Solve for x: 4(x - 3) = -4

Question 17 17.

Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

Question 18 18. Which graph represents a linear equation?

Question 19 19. What is the slope of a line that is perpendicular to y = 3x + 1?

Question 20 20. What is the equation of a line with slope of 2 and a y-intercept of -6?

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Question 21 21. Craig is new at Bleachy Clean Cleaning Services. He needs to make 12 gallons of cleaner with a 15% concentration of bleach. He only has cleaners with 10% and 30% solutions. How many gallons of the 10% solution will he need?

Question 22 22. Which pattern of numbers represents a linear equation?

Question 23 23. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

Question 24 24.

Solve.


-12 + 6(2x - 2) = 0

Question 25 25. Which linear equation is in standard form?

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Question 26 26. Two companies charge different amounts for renting a car. Company A charges a lot up front, but not much per day. Company B lets you have the car for cheap, but then makes you pay a lot every day you have the car. If we have two equations that represent these two companies, and we solve this system of equations, what will we find?

Question 27 27.

Solve the following system of equations:

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

Question 28 28. At the end of his weekly shopping excursion, Mr. Archer has purchased six pairs of pants and five pairs of socks for $348. The next day, he realizes he needs one more pair of pants and two pairs of socks, which he buys for $72. If the prices for all the pants are equal, as are the prices for all the socks, what is the cost of one pair of socks?

Question 29 29. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

Question 30 30. If 5az + b = 2z, then z =

Linear Equations & Systems Lesson Plans 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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