Math 8 2nd Quarter Exam Reviewer PDF

Summary

This document is a math 8 exam review covering topics like linear equations, slope-intercept form, and systems of equations. It includes practice questions and problems for students to prepare for an upcoming math exam. The document does not contain any information about the exam board, year, or school involved in administration of the exam.

Full Transcript

MATH 8 2ND QUARTER EXAM REVIEWER 1. What is the slope-intercept form of x – 5y = 30? 2 2. Which equation can be written in the form 𝑦 = 𝑥 − 6? 3 For Nos. 3 – 6, refer to the graph below....

MATH 8 2ND QUARTER EXAM REVIEWER 1. What is the slope-intercept form of x – 5y = 30? 2 2. Which equation can be written in the form 𝑦 = 𝑥 − 6? 3 For Nos. 3 – 6, refer to the graph below. 3. What equation represents the graph of line segment 𝐶𝐷 ̅̅̅̅? (point- slope form, use point C) 4. What equation represents the graph of line segment 𝐸𝐹 ̅̅̅̅ ? (slope- intercept form) ̅̅̅̅? (intercepts 5. What equation represents the graph of line segment 𝐺𝐻 form) ̅ ? (point-slope 6. What equation represents the graph of line segment 𝐼𝐽 form, use point J) 7. What is the slope of the graph x – 5y = 30? 8. What is the x-intercept of 7x + y = 21? 9. What is the slope-intercept form of the line passing through (6, -3) whose slope is 2/5? 10. What is the slope-intercept form of the line passing through the origin whose slope is -3/7? 11. What is the slope-intercept form of the line passing through (8, 3) and (7, 2)? 12. What is the slope-intercept form of the line passing through (-7, 0) and (0, 6)? 13. What is the slope of a line parallel to the x-axis and passing through (0,8)? For Nos. 14-16: Mr. Pangilinan would like to invest his money in a shawarma business. The following shows the profit of different stores where x represents the number of shawarmas sold in each store and y represents the profit: Store A: 𝑦 = 2𝑥 − 10 Store B: 𝑦 = 3𝑥 − 25 Store C: 𝑦 = 𝑥 − 12 Each store sold 50 pieces of shawarma for a day. 14. How much will Mr. Pangilinan earn in a day if he invests his money at Store A? 15. Arrange the stores from the store that will generate the largest profit to the store that will generate the smallest profit. 16. How many pieces of shawarma must be sold by store C to make a break-even (0 profit)? 1 17. What value of k will make the graph of the equation 𝑦 = 𝑘𝑥 − 11 parallel to the graph of 𝑦 = 𝑥 + 3? 5 5 5 18. What value of k will make the graph of the equation 𝑦 = 𝑥 + 𝑘 coincide to the graph of 𝑦 = 𝑥 −2 8 8 19. What value of k will make the graph of the equation 𝑦 = 𝑘𝑥 + 8 not intersect the graph of 𝑦 = 7𝑥 − 5? 20. Which of the following equations will have graph coinciding to the graph of 𝑥 − 3𝑦 = 6? A. 3𝑥 + 9𝑦 = 18 B. 3𝑥 − 9𝑦 = 18 C. 𝑥 + 3𝑦 = 6 D. 𝑥 − 6𝑦 = 12 𝑥 − 2𝑦 = 0 21. What is the solution of the system { ? 3𝑥 − 8𝑦 = −4 −5𝑥 + 6𝑦 = 7 22. What must be multiplied to 𝑥 − 3𝑦 = −5 to eliminate x in the system { ? 𝑥 − 3𝑦 = −5 3𝑥 − 2𝑦 = 14 23. To solve the system by substitution { , which equation is easier to be solved for one 𝑥 + 2𝑦 = 2 variable? For Nos. 24-26, refer to the graph below. A 24. What is/are the solution/s of the system whose graph are ̅̅̅̅ 𝐴𝐶 ̅̅̅̅ ? and 𝐷𝐶 B 25. What is/are the solution/s of the system whose graph are ̅̅̅̅ 𝐴𝐵 ̅̅̅̅? and 𝐶𝐷 D 26. Which pair of line segments shows consistent-independent system? C Types of systems of linear equations, their graph, and no. of solutions Classifying Systems of Linear Equations (2 methods)

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