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Name: ________________________ Class: ___________________ Date: __________ Chapter 5 Test Solve the system by graphing. ____ ÔÏÔÔ −3x − y = 7 1. ÔÌÔ ÔÔÔ 3x − 2y = −4 Ó a. c. (–1, –2) b. (–2, 1) d. (1, –2) (–2, –1) 1 ID: A Name: ________________________ ____ ÔÏÔÔ y = −x − 9 2. ÔÌÔ ÔÔÔ 3x − y = −11 Ó a. ID: A c. (–5, –4) b. (–4, –5) d. (–10, –19) (–1, –8) 2 Name: ________________________ ____ ÔÏÔÔ −x + y + 6 = 0 3. ÔÌÔ ÔÔÔ −2x + 2y = 5 Ó a. ID: A c. no solutions b. infinite solutions d. (4, 0) (4, –2) 3 Name: ________________________ ID: A Solve the system of inequalities by graphing. ____ ÏÔÔ Ô y ≤ −4x + 1 4. ÔÌÔ ÔÔÔ y > 2x − 3 Ó a. b. c. d. 4 Name: ________________________ ____ ÔÏÔÔ x ≥ −2 5. ÔÌÔ ÔÔÔ y > 3 Ó a. b. ID: A c. d. 5 Name: ________________________ ____ ÔÏÔÔ y ≥ −3x + 1 ÔÔÔ 6. ÔÌÔ ÔÔ y ≤ 1 x + 3 ÔÔÔ 3 Ó a. b. ID: A c. d. 6 Name: ________________________ ID: A Find the slope of the line. ____ 7. a. 1 4 b. −4 c. 4 1 4 d. − d. − d. 5 ;6 6 Find the slope of the line that passes through the pair of points. ____ 8. (5, 6), (9, 0) 3 a. 2 b. 2 3 2 3 c. − c. –6; 3 2 Find the slope and y-intercept of the line. ____ 9. 6 y= x–6 5 6 a. ; –6 5 b. 6; 6 5 6 5 Write an equation of a line with the given slope and y-intercept. ____ 10. m = 4, b = 5 a. y = 4x – 5 b. y = 4x + 5 c. d. y = 5x + 4 y = –4x + 5 c. d. x-intercept is 2; y-intercept is 3. x-intercept is –9; y-intercept is –6. Find the x- and y-intercept of the line. ____ 11. 2x + 3y = –18 a. x-intercept is 18; y-intercept is 18. b. x-intercept is –6; y-intercept is –9. 7 Name: ________________________ ID: A Write an equation in point-slope form for the line through the given point with the given slope. 3 5 3 y+6= x−4 5 3 y − 6 = (x + 4) 5 c. 3 2 3 y + 1 = − (x – 4) 2 3 y – 4 = − (x + 1) 2 c. ____ 12. (4, –6); m = a. b. d. 3 (x − 4) 5 3 y − 4 = (x + 6) 5 y+6= ____ 13. (–1, 4); m = − a. b. d. 3 y + 4 = − (x – 1) 2 3 y + 4 = − (x + 1) 2 Write an equation for the line that is parallel to the given line and that passes through the given point. ____ 14. y = –5x + 3; (–6, 3) a. y = –5x + 27 b. y = –5x – 27 c. d. y = 5x – 9 y = –5x + 9 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. ____ 15. 7x – 4y = 4 x – 4y = 3 a. perpendicular 1 x–4 4 24x + 6y = –9 a. parallel b. parallel c. neither b. neither c. perpendicular ____ 16. y = Simplify the difference. ____ 17. (–7x – 5x4 + 5) – (–7x4 – 5 – 9x) a. 2x4 + 2x + 8 b. –14x4 + 10x + 10 c. d. –14x4 – 10x + 10 2x4 + 2x + 10 ____ 18. (3w2 – 8w – 7) – (5w2 + 5w – 2) a. –2w2 – 3w – 9 b. 8w2 + 13w + 5 c. d. 8w2 – 3w – 9 –2w2 – 13w – 5 c. d. 8u3 + 2u2 – 5u + 16 16 – 5u + 2u2 + 8 u3 ____ 19. Simplify the sum. (3u3 + 2u2 + 8) + (5u3 – 5u + 8) a. b. –2u3 – 5u2 + 2u – 16 –2u3 + 2u2 – 5u + 16 8 Name: ________________________ ID: A Simplify the product. ____ 20. 5a2(3a4 + 3b) a. 8a4 + 8ab b. 15a8 + 3b c. d. 9 15a6 + 15a2b 8a6 + 15a2b ID: A Chapter 5 Test Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. D A A B A B D D A B D C B B C C D D C C 1