# Foundations of Linear Equations Chapter Exam

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. Which of the following is NOT true regarding 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. What is the equation of a line that passes through the points (2, 4) and (-2, 6)?

#### Question 13 13. 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 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. 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 17 17. If the graph below was written in the slope intercept form, which of the following would be true?

####
Question 18
18.
Which equation represents the first step to solving the following 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 the first step to solving the following system of equations using the elimination method?

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. What is the 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 in standard form?

#### Question 28 28. A line with an undefined slope is a line that goes _____.

#### 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!