# Linear Equations Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. What is the equation of the graph below?

#### Question 2 2. What is the solution to the system of equations shown in the graph below?

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

#### Question 4 4. Find the equation of the line shown in the graph below

#### Question 5 5. A line with an undefined slope is a line that goes _____.

### Page 2

####
Question 6
6.
Solve the following system of equations:

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

#### Question 7 7. 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 8 8. Which graph does NOT represent a system of equations?

#### Question 9 9. Which graph represents a linear equation?

#### Question 10 10. What is the equation of a line that is parallel to y=-4x+2 and goes through the point (-4,9)?

### Page 3

#### Question 11 11. A system of linear equations is graphed correctly but only one unique line is visible on the graph. Why?

#### Question 12 12. Find the slope of a line which is perpendicular to x + 4y = 6

#### Question 13 13. Find the equation of a line which passes through (4, -2) and (2, -4)

#### Question 14 14. What is the equation of a line that passes through the points (2,4) and (-2, 6)?

#### Question 15 15. 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?

### Page 4

#### Question 16 16. If the graph below has the equation Ax+By=-4, what must be true about A and B?

#### Question 17 17. Look at the graph. What is the solution to the system of equations?

#### Question 18 18. Which slope intercept form equation is equivalent to the standard form equation -x+2y=-8?

#### Question 19 19. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

#### Question 20 20. Write the following line in slope-intercept from 2x - 3y = 6

### Page 5

####
Question 21
21.
Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

#### Question 22 22. Find the x and y-intercepts for the following line y = 2x/3 + 4

#### Question 23 23. 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 24 24. Find the equation of a line parallel to x + 3y = 9 passing through (-6, 1)

####
Question 25
25.
Which equation represents the first step to solving the following system of equations using the substitution method?

2x-y=7

x=2y-1

### Page 6

#### Question 26 26. Find the slope of the line x = -3

#### Question 27 27. Which of these equations represents a line that is perpendicular to the line in the graph below?

#### Question 28 28. For the line Ax + By = C, where A & B are both nonzero and C = 0, which of the following must be true?

####
Question 29
29.
Solve the system of equations

x + 4y = -8

3x + 2y = 6

#### Question 30 30. If the graph below was written in the slope intercept form, which of the following would be true?

#### Linear Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!