Chapter 3 Review PDF
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Progressive Mathematics Initiative®
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Summary
This document contains a review chapter focused on graphing linear equations, including exercises and questions about intercepts, slopes, and equations. It is intended for algebra I students.
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Chapter 3 Review Use the graph of the line to the right to answer questions #1-4. 1. What is the y intercept of the line? 2. What is the x intercept of the line? 3. What is the slope of the line? 4. For what value of x does f(x) = 0? 5. What is the slope of the line that pas...
Chapter 3 Review Use the graph of the line to the right to answer questions #1-4. 1. What is the y intercept of the line? 2. What is the x intercept of the line? 3. What is the slope of the line? 4. For what value of x does f(x) = 0? 5. What is the slope of the line that passes through the points (6, 3) and (-2, 1)? 6. What is the y intercept of the line that passes through the points (-7, 2) and (5, -1)? Algebra I Progressive Mathematics Initiative® (PMI®) Graphing Linear Equations © All Rights Reserved. Use the graph to the right to answer questions #7-9. 1 7. Which line is represented by the equation 𝑦 − 2 = 3 (𝑥 + 4)? a. Line A b. Line B c. Line C d. Line D 8. Which line has a slope of zero? a. Line A b. Line B c. Line C d. Line D 9. Which line is represented by the equation x = -2? a. Line A b. Line B c. Line C d. Line D 10. The line y = 7 is: a. Horizontal b. Vertical c. Neither d. Cannot be determined 11. The line 2x - 4y = 5 - 4y is: a. Horizontal b. Vertical c. Neither d. Cannot be determined Algebra I Progressive Mathematics Initiative® (PMI®) Graphing Linear Equations © All Rights Reserved. 12. Which points lie on the line whose equation is 4x - 5y + 12 = -8? Select all that apply. a. (0, 4) b. (1, 8) c. (5, 0) d. (-5, 0) e. (10, 12) f. (-10, -5) 13. What is the equation of the line that passes through the point (3, -4) and has a slope of -4? Select all that apply. a. y – 4 = -4(x + 3) b. y + 4 = -4(x - 3) c. y = -4x - 16 d. y = -4x + 8 e. 4x + y = 8 f. 4x - 3y = 12 14. Create a table of values for the equation 3 𝑦= 𝑥 − 3, plot the points, and graph the equation. 5 15. Write the equation of the line that passes through the points (4, 1) and (-3, -1). Then graph the equation in the coordinate plane. Algebra I Progressive Mathematics Initiative® (PMI®) Graphing Linear Equations © All Rights Reserved. 16. Find the x and y intercepts of the equation - 2x + 5y – 12 = 8. Then graph the equation in the coordinate plane, labeling both the x intercept and the y intercept. 17. A line has an x intercept of -5 and a y intercept of 3. Write an equation for the line. 18. Write the equation of the line that is parallel to 8𝑥 − 2𝑦 = 12 and passes through (-2, 6). 19. Write the equation of the line that is perpendicular to 8𝑥 − 2𝑦 = 12 and passes through (4, -2). 20. Write an equation of a line that would be perpendicular to 3𝑥 + 4𝑦 = 15. Algebra I Progressive Mathematics Initiative® (PMI®) Graphing Linear Equations © All Rights Reserved. 21. The graph to the right represents the 3 function𝑓(𝑥) = 4 𝑥 + 3. For what value of x does f(x)=0? 22. A line passes through the points (6, 4), (1, -2), and (-4, -8). What is the equation of the line? Algebra I Progressive Mathematics Initiative® (PMI®) Graphing Linear Equations © All Rights Reserved.