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SECOND SIX WEEKS REVIEW—ALG 2 LEVEL Ch.4 A= E= ---USE THE FOLLOWING MATRICES TO ANSWER QUESTIONS 1-9. 3 2 1 − 2 3 − 2 − 4 2 − 1 B = −1 0 C= D = 3 − 1 − 3 3 1 3 0 1 5 4 2 1 4 − 2 −1 1 −2 0 F= 3 1 −1 4 2 0 G= 3 4 2 5 1. State the order (dimensions) of matrix B. 2. E – F 3. F + D 4. EB = 5. 4A - 3C 6. BF 7. det G 8. Find the determinant of D. 9. Find the inverse of C 10. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered pair. 6x + y = 2 3x – 2y + 1 = 0 11. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered triple. 2x – z = 3 + y x+2=y+5 4z + x + y = 1 12. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered pair. x+y=3 3x = 3 + y Chapter 5 Solve. 2 13. x + 5x = -6 2 15. 4x – 5 = 31 2 2 14. –x + 6 = 2x – 6 2 16. x + 6x + 9 = 16 17. A function, f(x), has (3,0) and (-2, 0) as roots. Write f(x) as a product of its factors. Solve by factoring. 2 18. 4x -28x + 49=0 Find the roots by factoring. State as ordered pairs. 2 19. f(x) = x – 2x – 24 Find the zeros of the function by factoring. State as ordered pairs. 2 2 21. h(x) = x – 4 22. f(x) = 3x + 30X + 75 2 24. f(x) = x +6x + 9 a. direction ________ b. axis of symmetry ________ c. vertex_______ d. y-intercept _______ e. pt symmetric to the y-intercept______ f. zeros _________ g. graph 2 25. g(x) = -x – 4x - 8 a. direction ________ b. axis of symmetry ________ c. vertex_______ d. y-intercept _______ e. pt symmetric to the y-intercept______ f. zeros _________ 2 20. g(x) = 3x – 13x – 10 2 23. h(x) = 9x -6x +1 2 26. Determine if f(x) = - x -6x +1 has a maximum or a minimum value. ______________________ and determine that value. 27. The quadratic parent function has been transformed by reflecting it over the x axis, translating left 3, and up 4. There has also been a vertical stretch by a factor of 5. Write the equation of the new function, g(x). 28. Describe the transformation of the quadratic parent function that is given by g(x) = 29. Graph f(x) = 2(x + 2) FACTOR COMPLETELY 2 30. 5x – 45x 2 33. 4x – 17x +15 2 1 (x −1)2 −14 . 2 -7 2 31. x – 12 x + 36 2 34. 6x + 19x + 10 2 32. 3x +18x +15 2 35. 5x - 10x +5