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Republic of the Philippines Department of Education Region III SCHOOLS DIVISION OF BULACAN SAN MIGUEL NATIONAL HIGH SCHOOL MATHEMATICS 8 1st QUARTER 4TH SUMMATIVE TEST S.Y. 2021 – 2022 Name: _____________________________________ Section: _____________________ Date: __________________ Direction: Read each question carefully. Choose the letter of the correct answer and type it on the box before the number. _____1. Which of the following is true about the system of linear equations in two variables? I. Any set of linear equations. II. A set of two or more linear equations in two variables. III. A system of linear equations may have only one solution, infinitely many solutions, or no solution at all. IV. A system of linear equations in two variables can be solved algebraically or graphically. A. I and II B. I, II, and III C. II and III D. II, III, and IV _____ 2. Which of the following equations could NOT be considered as system of linear equation in two variables? 7x − y = 8 −x + 6y = 2 y = x − 8 4???? 2 − 3x − 4 = 0 A. { B. { C. { D. { 2x + 4y = 8 7x = y − 12 5???? + 4y = 8 x???? 2 = −9 _____ 3. What is the graph of a system of linear equations in two variables which shows only one solution? A. intersecting B. coinciding C. parallel D. perpendicular _____ 4. How do you describe the graphs of the system of linear equations in two variables which has no solution? A. coinciding B. intersecting C. parallel D. perpendicular _____ 5. All the following are graphs of the system of linear equations in two variables EXCEPT: A. coinciding B. intersecting C. parallel D. perpendicular _____ 6. What is the solution to the system of equations shown in the graph? A. (0, −1) C. (0,3) B. (0,2) D. (3,0) _____ 7. How many solutions does a system of linear equation in two variables has if the slopes of the lines are equal and the y-intercepts are also equal? A. one C. no solution B. two D. infinitely many _____ 8. In the equation ???????? + ???????? = ???? where A and B are not equal to zero is a linear equation in what form? A. point- slope form C. standard form B. slope-intercept form D. two-point form _____ 9. What is the slope and ???? − ???????????????????????????????????? of the equation ???? = 2???? − 4? A. ???? = 2 ???????????? ???? = 4 C. ???? = 2 ???????????? ???? = – 4 B. ???? = 4 ???????????? ???? = 2 D. ???? = – 4 ???????????? ???? = 2 _____ 10. What is the equation of a line that passes through the points (1, 3) ???????????? (−2, 5)? A. −2???? + 3???? = 11 B. 2???? − 3???? = 11 C. 2???? + 3???? = 11 D. 3???? + 2???? = 11 _____ 11. If the graph of a linear equation passes through a point (1, −2) and a slope of 3, what form is being illustrated? A. point-slope B. standard C. slope-intercept D. two-point _____ 12. The line passes through the point (0,3) and has a slope of 2. What is the equation of a line in slope-intercept form? A. ???? = 1/2 ???? B. ???? = 3 C. ???? = 2???? + 3 D. ???? = 3???? + 2