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Quadratic Equations Review and Practice

Get ready for your upcoming quiz and test on solving quadratic equations! This worksheet includes examples and practice problems for factoring, completing the square, and using the quadratic formula. Don't forget to check your notes on Tuesday! Happy Pi Day!

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Quadratic Equations Review and Practice

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  1. Quiz on Monday Test on Wednesday Delta Math + 1 WS (HW) due Wed Happy Pi Day!!! (3.14) 9.4, 9.5, 9.6Review Solving Quadratic Equations Check Notes TUESDAY!

  2. Solve by Factoring (3 steps) 3 ways to solve Solve by using the Quadratic Formula Solve by Completing the Square (6 steps) • Set equation to 0 • Factor (Trinomial Xbox or Binomial GCF or Diff or Squares) • Solve

  3. Discriminant (+) Perfect Square (+) NOT Perfect Square 0 (-) 2 real, Unequal, Irrational roots 2 real, Unequal, Rational roots No roots (imaginary) 1 real, Equal, double root No solution Can’t solve Solve by Factoring Solve by Completing the Square OR Quadratic Formula Solve by Factoring

  4. D = (-5)2 – 4(4)(8) D = 25 – 128 D = -103 No real roots (imaginary) No work NO SOLUTION 1) 4x2 – 5x + 8 = 0

  5. D = (-3)2 – 4(1)(1) D = 9 – 4 D = 5 2 Real, IRRATIONAL roots Don’t complete the square because middle number is odd 2) x2 – 3x + 1 = 0 Quadratic Formula

  6. D = (2)2– 4(1)(-8) D = 4 + 32 D = 36 (perfect square) 2 Real Rational Roots 3) x2 + 2x – 8 = 0 factor! -8 4 -2 2 (x + 4)(x – 2) = 0 x + 4 = 0 x – 2 = 0 x = -4 x = 2 {-4, 2}

  7. D = (-20)2 – 4(4)(25) D = 400 – 400 D = 0 1 (double) root 4) 4x2 – 20x + 25 = 0 factor! 100 (2x – 5)(2x – 5) = 0 2x – 5 = 0 2x = 5 x = 5/2 { 5/2 } Double Root -10 -10 -20 2x -5 2x 4x2 -10x -5 25 -10x

  8. D = (12)2– 4(1)(-4) D = 144 + 16 D = 160 2 real, irrational roots Complete the square because middle number is even 5) x2 + 12x – 4 = 0 Complete the square! x2+ 12x = 4 x2+ 12x + _____ = 4 + _____ (x + 6)2 = 40 x + 6 = ±√40 x = { -6±√40 } 36 36

  9. HW (Worksheet 9-4 Practice / 9-5 Practice) Delta Math (100%) Find 8 Notes (Checking on Tuesday – in class) 1) 9.4 Solve by Factoring 2) 9.4 (Day 2) 3) 9.5 Solve by completing the square 4) 9.5 (Day 2) WORKSHEET 5) 9.5 (Day 3) WORKSHEET 6) 9.6 Quadratic Formula 7) 9.6 (Day 2) 8) 9.4, 9.5, 9.6 REVIEW WORKSHEET

  10. Match the problem with the method of solution 1) 4x2 – 5x + 8 = 0 2) x2 – 3x + 1 = 0 3) x2 + 2x – 8 = 0 4) 4x2 – 20x + 25 = 0 5) x2 + 12x – 4 = 0 • Factoring • Perfect Square Trinomial • Completing the Square • Quadratic Formula • Can’t solve it

  11. Page 571  #9-25 odd, 32,33 9-4 Worksheet 9-5 Worksheet Page 579  #7-18 skip #13 Soil Erosion Worksheet Discriminant Worksheet Solve Discriminant Worksheet Page 586  #7-21 odd, 44 Solve Quadratic Worksheet (today) Chapter 9 Part 2 Review Worksheet Front (tomorrow) OLD Homework

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