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ALGEBRA 2 MATH PACKET Combine like terms. 1. 7(x – y) – 5(2x + 4y) 2. 3[2(-y2 + y) – 3] – 3(2x + y) 3. –3(4x + -2y) – 2(x + 3y) – 2(2x + 6y) Solve the following. 4. 7 + 22(5 + 2) = 5. 72 – 2(4 • 3 + 7) = 6. 2(f + 7) – 8 = 22 7. 4(t + 5) – 3 = 6t - 13 8. 4 2 h= 9 3 Perform the indicated operation. 9. ⎛ 3⎞ ⎛ 2⎞ 10. ⎜ 6 ⎟ ⎜ 5 ⎟ ⎝ 4 ⎠ ⎝ 3⎠ 11. Evaluate each formula. Give decimal answers to the nearest tenth. 12. a = c 2 − b 2 ; c = 5.5,b = 3 13. V = π r 2 h ; r = 4.3, h = 9.1 Solve each equation for the given variable. 14. 2 ( x + a ) = c Solve for a 15. 2r + 3s = 1 Solve for r Find the slope of each line. 16. the line containing (-3, 4) and (2, -6) Find the midpoint of the segment with the given endpoints. 17. (3, 3), (7, -6) Solve each equation: 18. 8y − 3 + y = 51 19. 4 2 h= 9 3 Solve and graph each inequality. 20. 9 + x ≤ 15 21. 9h> − 18 Solve each equation. 22. ⏐a⏐+4 = 7 Solve each inequality and graph the solution. 23. ⏐a + 3⏐>7 Write the expression using exponents. 24. x•x•x•y•y Write the expression so that all exponents are positive. 25. x 5 y −7 z −3 Simplify each expression. Use positive exponents. 26. r3• r2• s7• s 27. ( rt )3 28. ( 2a )( 3a ) 29. ( 4a b ) ( ab ) 30. x 2 y 3 z −1 x 5 yz 3 4 2 6a 3 2 3 2 Perform the indicated operations. Write each answer in standard form. ( 31. 4x 2 3x 2 − 5x + 9 32. ( x − 5 ) ( x + 3) 33. ( n − 7 )( n − 2 ) ) Factor each polynomial. 34. b 3 + 6b 2 35. x 2 + 5x + 4 36. 3r 2 − 48 37. y 2 − 24y + 144 Simplify each radical expression. 38. 72 39. 54 40. 41. 7 7 − 7 42. 40 + 90 43. 98 + 50 − 5 In each problem, a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse. Find each missing length. 44. a if b = 12 and c = 13 Find the distance between each pair of points, to the nearest tenth. 45. (- 5, 3), (4, 3) Write each expression in simplest form. 46. 5n + 15 n+3 47. 28c 2 ( d − 3) 35c ( d − 3) Perform the indicated operation. 48. 13 13 − 2x 3x ⎛ 3x 2 ⎞ ⎛ 6 ⎞ 49. ⎜ ⎜ ⎟ ⎝ 2 ⎟⎠ ⎝ x ⎠ 50. 16 5 ÷ 3x 3x