I only need solutions/explanations with these. Here are the answers. 1)D 2)C 3)A 4)B 5)C 6)B 7)A 8)A 9)B 10)A 11)B 12)A 13)B 14)D 15)D
1. All of the following are graphs of the system of linear equations in two variables EXCEPT: 9. Which of the following shows the graph of a line whose slope is - and whose y-inter A. coinciding C. parallel are 2 and 3, respectively? B. intersecting D. perpendicular C. For hams 2-4, consider the graph below 13. Ruel says that the system 3x - y = 2" fox + ) =10 has exactly one solution. Which of the following reasons would support his statement? Line 1 I. The graph of the system intersects at (3,7). Line 2 Il. The graph of the system shows intersecting lines. Ill. The graph of the system shows coinciding lines. IIV. The graph of the system shows parallel lines. B D. A. I only C. III B. I and Il D. IV 2. What are the slopes of graph? 22 A. =and - C. - and B. 3 and - D. -= and -3 3. What are the y-intercepts? A. (0.2) and (0. -1) C. (3, O)and (1,0) B. (-20)and (0,1) . (-30)and (1. 0) 21 4. Which system of linear equations represents the graph? [2x - 3y = 6) (2x - 3y = -6) 14. In a Grade 8 Math class, the teacher asked the students to solve the system (2 - 3y = 3 am ( x - 3y = 6 (x + 3y = 3) (-x+ 3y =3) using graphical method. Sheena enthusiastically volunteered and show her solutions on B. [2x + 3y = 6) [2x + 3y = 6) ( x- 3y = 3) D. x - ly = -31 the board. (x - 3y-6 The system (2x - jy = 3 intersects at exactly one point, hence the solution is [ 2x - 3y - 6 2 10. Which of the following shows the graph of the system (6 - 9y = 36 (3, -1). A 20 Which of the following is an error committed by Sheena? A. The slope of equation 1 B. The slope of equation 2 C. The y-intercept of equation 1. D. The y-intercept of equation 2. B 15. A Grade 8 student asked his friend to help him transform the system ( 3x - dy = 16 Into nx + Zy = 22 For hems 5-7: Use the system _ _ to answer the questions that follow. the slope-intercept form y = wx + b since he will be needing this to graph the system. His friend gave him this answer. y = x +11 5. What are the slope-intercept form of each equation? Ly =4x-4 . Was his friend correct? A 1'=-x+2 C. ()'=-x+2 Ly- -x+4 ly - x - 4 I. Yes, no errors were committed. B. )=-1+ 2 ()=x- 2 ly= x+4 by=x+4 11. Which system of linear equations represents the graph below? Il. No, because the slope of equation 1 should be -= 6. What are the slopes and y-intercepts of each equation? | 3x - 5y = 15 Ill. No, because the slope of equation 2 should be } 16x + 5y = -30 A. m) = 1; b) = -2 m1 = -1; b) = 2 ( my = 1; by = 4 C. [ my = 1; by = 4. [3x + 5y = 15 C. Ill only my = -1; by = 2 1 = -1; 01 -2, B. 16x + 10y = 30 B. Il only D. Both II and Ill my = 1; by = -4 Imz = -1; by = 4. C. 3x - 5y = 15 7. What is the point of intersection of the graph? ex - 10y = 30 A. (3-1) - (3, -1) 3x + 5y = -15 B. (3,1) . (-3,1) D. 16x - 10y = 30 8. Which system of linear equations has the same slopes and y-intercepts? 12. Which system of linear equation has infinitely many solutions? 7x - 14y = 28 A. (2x + y = 4 C. [x+1=4 ( x - 2y = 4 C. ;x - Y=4 lar+ y - -5 14x + 2y = B " 12x - 3y = 8 3. [#x - 2y =4 5x - y = -9 *+y= 3 [x + 3y = 4 14x + 2y = 0 D. 3x + ly = 12 Ixty -2 D. . lx + 3y - 8
