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Algebra 1-2 Semester 2 Final Review

Algebra 1-2 Semester 2 Final Review. Pick up your Final Review Form A Packet. 2nd Semester Review. 1.) Solve a graph the inequality: 5x + 2 < 3(x-1). 5x + 2 < 3x-3 5x -3x + 2 < 3x -3x -3 2x + 2 < -3 2x + 2 -2 < -3 -2 2x < -5 x < -5/2. (A). -4. -2. 0. 2. 4.

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Algebra 1-2 Semester 2 Final Review

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  1. Algebra 1-2Semester 2 Final Review • Pick up your Final Review Form A Packet 2nd Semester Review

  2. 1.) Solve a graph the inequality: 5x + 2 < 3(x-1) • 5x + 2 < 3x-3 • 5x-3x + 2 < 3x-3x-3 • 2x + 2 < -3 • 2x + 2-2 < -3-2 • 2x < -5 • x < -5/2 (A) -4 -2 0 2 4 2nd Semester Review

  3. 2.) Graph 5 < x < 7 • 5 < x < 7 • (A) -2 0 2 4 6 8 Closed Dot Open Dot 2nd Semester Review

  4. 3.) Solve -10 < 2x + 8 < 6 • -10 < 2x + 8 < 6 • -10 -8 < 2x + 8 -8 < 6 -8 • -18 < 2x < -2 • -18/2 < 2x/2 < -2/2 • -9 < x < -1 (D) 2nd Semester Review

  5. 4.) Solve |x+1| > 2 2nd Semester Review x+1 < -2 x+1 > 2 • x+1 > 2 • x+1-1 > 2-1 • x > 1 • x+1 < -2 • x+1-1 < -2-1 • x < -3 x < -3 or x > 1 (D) Remember: < is and , > is or

  6. 5.) Graph |x - 1| < 4 x - 1 < 4 x - 1 > -4 • x - 1 > -4 • x -1+1 > -4+1 • x > -3 • x - 1 < 4 • x - 1+1 < 4+1 • x < 5 -3 < x < 5 (D) -4 -2 0 2 4 6 2nd Semester Review

  7. 6.) Graph 2x - y > -2 • 2x -y > -2 • 2x - 2x -y > -2x -2 • -y > -2x -2 • -y/-1 > (-2x -2)/-1 • y < 2x + 2 Graph it 2nd Semester Review

  8. 6.) Graph y < 2x + 2 Sketch y = 2x + 2 Y Now pick a point on one side of the dotted line -(0,0) X 2nd Semester Review

  9. Test a Point 2nd Semester Review • Take the point (0,0) and plug in the values in y < 2x + 2 • y < 2x + 2 • 0 < 2(0) +2 • 0 < 2 True Since it’s True, Shade the (0,0) side.

  10. 6.) Graph y > 2x + 2 (C) Y y= 2x + 2 X (0,0) 2nd Semester Review

  11. 2x+4y = 23x-4y = -7 7.) Solve by linear combination • 2x+4y = 2 • 2(-1)+4y = 2 • -2 + 4y = 2 • -2+2+4y=2+2 • 4y = 4 • y = 4/4 = 1 • 2x+4y = 23x-4y = -7 • 5x = -5 • 5x/5 = -5/5 • x = -1 (A) (-1,1) 2nd Semester Review

  12. 8.) Determine if the systemhas no solutions, one solutions, or many solutions. • -2x + 8y = 36 3x -12y = 49 • 3(-2x + 8y = 36)2(3x -12y = 49) • -6x + 24y = 108 6x - 24y = 98 2nd Semester Review

  13. 8.) Determine if the systemhas no solutions, one solutions, or many solutions. • -6x + 24y = 108 6x - 24y = 98 • 0 = 206 (A) False No Solution 2nd Semester Review

  14. y < x -33x + y < -4 9.) Determine the solution to the system of inequalities • y < x -33x + y < -4 • 3x -3x + y < -3x -4 • y < -3x -4 2nd Semester Review

  15. y < x -33x + y < -4 9.) Determine the solution to the system of inequalities • y < x -3y < -3x -4 • Graph • Pick a point 2nd Semester Review

  16. (9) y < x -3y < -3x -4 Y Now pick a point on one side of both lines - (0,0) X 2nd Semester Review

  17. Test a Point 2nd Semester Review • Take the point (0,0) and plug in the values in y < x -3 • y < x - 3 • 0 < (0) -3 • 0 < -3 False Since it’s False, Shade the opposite side of (0,0).

  18. (9) y < x -3y < -3x -4 Y X 2nd Semester Review

  19. Test a Point 2nd Semester Review • Take the point (0,0) and plug in the values in y < -3x -4 • y < -3x - 4 • 0 < -3(0) -4 • 0 < -4 False Since it’s False, Shade the opposite side of (0,0).

  20. (9) y < x -3y < -3x -4 Y X (D) 2nd Semester Review

  21. 10.) Simplify 63 • 69 • 63 • 69 • (6•6•6) • (6•6•6•6•6•6•6•6•6) • (B) 612 2nd Semester Review

  22. 11.) Simplify (44)7 • (44)7 • (44)(44)(44)(44)(44)(44)(44) • (B) 428 2nd Semester Review

  23. 12.) Simplify the product (4gh4)2(gh)4 • (4gh4)2(gh)4 • 42g2h8 • g4h4 • (C) 16g6h12 2nd Semester Review

  24. 13.) Simplify the product c-3 • c9 • c-3 • c9 • 1/c3 • c9 = c9/c3 • c•c•c•c•c•c•c•c•c c•c•c • c6 (C) 2nd Semester Review

  25. 14.) Rewrite using positive exponents 4-3 • 4-3 = 1/43 = 1/64 (C) 2nd Semester Review

  26. 15.) Multiply 23 • 3 • 50 • 23 • 3 • 50 = • 8 • 3 • 1 • 24 (C) 2nd Semester Review

  27. 16.) Rewrite using positive exponents 7A-1/B-2 • 7A-1/B-2 • 7B2/A1 (D) 2nd Semester Review

  28. 17.) Which is equivalent to 39/33 • 39/33 = 39-3 = 36 • (C) 2nd Semester Review

  29. 18.) Simplify (-20x7y5)/(-5x4y6) • (-20x7y5)(-5x4y6) = • 4x3/y (B) 2nd Semester Review

  30. 19.) What’s the perimeter of the triangle. 2nd Semester Review • a2 + b2 = c2 • 32 + 42 = c2 • 9 + 16 = c2 • 25 = c2 • 5 = c 5 4 (B) 3 Perimeter = 3+4+5=12

  31. 20.) Solve 25x2 - 4 = 0 • 25x2 - 4 + 4 = 0 + 4 • 25x2 = 4 • 25x2/25 = 4/25 • x2 = 4/25 • x = 4/25 • x = ± 2/5 (D) 2nd Semester Review

  32. 21.) Graph y = x2 + 3 2nd Semester Review

  33. 22.) Solve by the Quadratic formula: x2 -x -2 = 0 • x = -b b2 - 4ac 2a • x = --1 (-1)2 - 4(1)(-2) 2(1) 2nd Semester Review

  34. 22.) Solve by the Quadratic formula: x2 -x -2 = 0 • x = 1 1 + 8 2 • x = 1 9 = 1 3 2 2 2nd Semester Review

  35. 22.) Solve by the Quadratic formula: x2 -x -2 = 0 • x = 1+3 & 1-3 2 2 • x = 4 & -2 = 2 2 • X = 2 & -1 (B) 2nd Semester Review

  36. 23.) Simplify: (3v4 - 4) - (8v - 5) + (8v4 + 2v) • 3v4 - 4 - 8v + 5 + 8v4 + 2v • 3v4 + 8v4 - 8v + 2v - 4 + 5 • 11v4 - 6v + 1 (A) 2nd Semester Review

  37. 24.) Multiply (x+1)(x-9) • (x+1)(x-9) foil • x2 -9x + x - 9 • x2 -8x - 9 (A) 2nd Semester Review

  38. 25.) Multiply (3c+7)(3c-7) • (3c+7)(3c-7) foil • 9c2 -21c + 21c - 49 • 9c2 - 49 (A) 2nd Semester Review

  39. 26.) Multiply (x+2)(x2 +2x + 5) • (x + 2)(x2 + 2x + 5) • x3 +2x2 + 5x + 2x2 + 4x + 10 • x3 +2x2 + 2x2 + 5x + 4x + 10 • x3 +4x2 + 9x + 10 (C) 2nd Semester Review

  40. 27.) Multiply using the Vertical format • 6y2 + 2y + 6 y - 8 (D) 6y3 + 2y2 + 6y - 48y2 - 16y - 48 6y3 - 46y2 - 10y - 48 2nd Semester Review

  41. 28.) Factor x2 - 5x + 6 • x2 - 5x + 6 • (x - 3)(x - 2) (C) • x2 - 2x -3x + 6 • x2 - 5x + 6 2nd Semester Review

  42. 29.) Factor 2x2 + 3x - 9 • 2x2 + 3x - 9 • (2x -3)(x + 3) (D) • 2x2 + 6x -3x - 9 • 2x2 + 3x - 9 2nd Semester Review

  43. 30.) Factor x2 - 5x - 6 • x2 - 5x - 6 • (x -6)(x + 1) (C) • x2 + 1x - 6x - 6 • x2 - 5x - 6 2nd Semester Review

  44. 31.) Solve x2 + 2x - 15 = 0 • x2 + 2x - 15 = 0 • (x - 3)(x + 5) = 0 • x - 3 = 0 & x + 5 = 0 • x = 3 & x = -5 (A) 2nd Semester Review

  45. 32.) Solve g/2 = 2/8 • G = 22 8 • 8g = 4 • g = 1/2 (D) 2nd Semester Review

  46. 33.) Solve 5/(x+1) = 4/1 • 5 = 4x+1 1 • 4x + 4 = 5 • 4x = 1 • x = 1/4 (A) 2nd Semester Review

  47. 34.) Solve 6/(x+2) = (x+1)/x • 6 = x + 1x+2 x • 6x = (x + 2) (x + 1) • 6x = x2 + 3x + 2 • 6x - 6x = x2 + 3x - 6x + 2 Next Page 2nd Semester Review

  48. 34.) Solve 6/(x+2) = (x+1)/x • 0 = x2 - 3x + 2 • 0 = (x -1)(x - 2) • x - 1 = 0 & x - 2 = 0 • x = 1 & x = 2 (B) 2nd Semester Review

  49. 35.) What % of 20 is 5? • is % of ? • 5 = • .01 • 20 x • 5 = .2x • 5/.2 = .2x/.2 • 25 = x (D) 2nd Semester Review

  50. 36.) 10% of 80 is what #? • is % of ? • = 10 • .01 • 80 x • x = 8 (C) 2nd Semester Review

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