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Algebra 2 Final Review

Algebra 2 Final Review. We will look at the Basic Algebra Skills you need and the tests you’ve taken throughout the year. 1. Solve: 4(x – 3) + x – 4 = 2(x + 2) – 4 b . c . d. 2. What is the solution of 7x – 2 = 3(2x + 5)? a. 1 b. 1 c. 3 d. 17.

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Algebra 2 Final Review

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  1. Algebra 2 Final Review We will look at the Basic Algebra Skills you need and the tests you’ve taken throughout the year.

  2. 1. Solve: 4(x – 3) + x – 4 = 2(x + 2) – 4 b. c. d.

  3. 2. What is the solution of 7x – 2 = 3(2x + 5)? a. 1 b. 1 c. 3 d. 17

  4. 3. Solve the inequality: 2x – 5 < 3x + 1 a. x > -1 b. x > 3 c. x > -6 d. x < 1

  5. 4. What are the factors of a3 – b3? (a – b)(a2 + ab + b2) b. (a + b)(a2 – ab + b2) c. (a – b)(a + b) d. (a2 – b2)(a + b)

  6. 5. Factor: 25x2 – 20x + 4 a. (5x + 2)(5x – 2) b. (5x – 2)2c. (25x – 4)(x – 1) d. (5x+ 2)2

  7. 6. Factor the following: 36x2 – 25y2 a. (36x + 25y)(36x – 25y) b. (x – y)(36x + 25y) c. (6x – 5y)(6x + 5y) d. (6x – 5y)(6x – 5y)

  8. 7. Factor the following: 8x3 – 64y3 a. (2x + y)(4x2 – 4xy + y2) b. (2x – 4y)(4x2 + 8xy + 16y2) c. x3 – y3 d. cannot be factored

  9. 8. Which is a factor of 3x3 + 3x2 – 18x ? a. (x + 2) b. (x + 3) c. (x – 3) d. (x – 1)

  10. 9. Find the solution for the equation by factoring: 4x2 – 12x = 0 a. x = 0 b. x = -3 c. x = 0 and x = 3 d. x = 0 and x = -3

  11. 10. The expression (xm)n is equal to… a. 2xmnb. xmnc. xm + nd. xm - n

  12. 11. In the expression 12y-3, the y-3 is the same as… a. (-y)(-y)(-y) b. c. d. -3y

  13. 12. Simplify: a. -x3y4 b. -5x2y4 c. -6x3y5 d. 9x2y4

  14. 13. • written with all positive exponents is: a. b. c. m3n2p4 d. m-3n-2p-4

  15. 14. (3x2y3)3 can be written as… a. 9x5y6 b. 27x6y9 c. 6x5y9 d. 27a5b6

  16. 15. (-2x-3y4)(-3x-5y) equals… a. -5x-8y4 b. 6x-8y5 c. x3y4 d. 6x-8y4

  17. 17. Simplify: b. c. d.

  18. 18. Simplify: 6x2y4 b. 6x2y8 c. 18x2y4 d. 18x2y4

  19. 19. Add: b. c. d.

  20. 20. Multiply: a. b. c. d.

  21. 21. 2(x – 3) + 2x = 2x – 3 – 7

  22. 22. -3(2x + 1) – 5(x + 2) = 3(x – 4) + 3

  23. 23.

  24. 24.

  25. 25. -5(2p + 5) – (p + 3) ≤ -2p + 4

  26. 26. -2(5x – 3) – 4(2x + 3) ≤ -12(x + 4)

  27. 27. s – 4 + t = 5 for t

  28. 28. 6t = 8wm for m

  29. 29. 12m3 – 4m2

  30. 30. 24x5 + 36x3 – 18x2

  31. 31. m3 + 1

  32. 32. x2 + x – 20

  33. 33. 3x2 + xy – 2 y2

  34. 34.

  35. 35. 3x3 – 12x2 – 45x

  36. 36. 5x3 + 15x2 – 20x

  37. 37. 5w – 1 – 25wx + 5x

  38. 38. x3 – 8y3

  39. 39. 4y2 – 9z2

  40. 40. 16m4n3 – 12m3n4 + 4m2n5

  41. 41. 6x2 = 5x + 4

  42. 42. 9x3 + 3x2 = 6x

  43. 45. (-2m3n2)(3mn)

  44. 48. (-2p-4q-2r3)-3

  45. 49. 12p-3q-4

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