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Solve using any method. 0, -2 0, 2 2 0 1/2, 0 4x2 - 8x = 0 Solve using any method. x2 = 49 -7 7, -7 7 7√2 2√7 Solve using any method. 1/2, -3 2, -3 -1/2, -3 2x2 - 5x = 3 1/2, 3 -1/2, 3 Solve using any method. -3 + 2√2 x2 + 6x = -1 ± 2√2 -3 ± 2√2 -3 ± √8 3 ± √8 Solve using any method. -7, -8 -8, 7 7, 8 x2 - 15x = -56 8, -7 ± 8 When completing the square, what number needs to be added to both sides? -7 7 -49 49 14 x2 - 14x + 2 = 0 0 Solve using any method. 1 x2 + x = 0 0, 1 0, -1 1, -1 Solve using any method. 2/3, -5 2/3, 5 -5, -2/3 3x2 +13x = 10 -3, -10 3, -10 Solve using any method. ± √24 ± 4√6 √24 x2 = 24 ± 2√6 2√6 Solve using any method. -√6 √6 No solution -6 ± √6 x2 + 6 = 0 Solve using any method. 1, 5 1, -5 -1, 5 -1, -5 No solution x2 +4x - 5 = 0 Solve using any method. No solution -7 ± √37 7 ± √37 2 2 x2 + 7x - 3 = 0 -7 ± √61 7 ± √61 2 2 What is the next step when completing the square? Factor the left side, simplify the right Take the square roots of both sides Use the Zero Product Property Set everything equal to zero 1. 2. 3. 4. x2 + 4x + 4 = 32 + 4 x2 + 4x = 32 x2 + 4x - 32 = 0 What is the measurement of each side of a square with an area of 225 in2? Area = 225 in2 15 in ± 15 in √225 Say what? Solve using any method. 0 -3 6x2 = 18x 0, 3 0, -3 3, -3 Solve using any method. -2 ± 3√2 -2 + 3√2 x2 +4x - 14 = 0 No solution 2 ± 3√2 -2 ± √18 Solve using any method. -1/3, 2 -1/3, -2 3x2 - 5x = 2 No solution 1/3, -2 1/3, 2 Solve using any method. 3x2- 18 = 0 √6 No solution ± 2√3 ±6 ±√6 Solve using any method. 9, 3 -3, -9 x2 + 6x - 27 = 0 -9, 3 -3, 9 9, -3 4. x + 6 = √24 3. (x+6)2 = 24 5. x = -6 + √24 1. x2 + 12x = -12 2. x2 + 12x + 36 = -12+36 6. x = -6 + 2√6 In which step is the first mistake made? x2 + 12x + 12 = 0 No mistake Step 4 Step 3 Step 2 Distributive Property Addition Property of Equality Zero Product Property Commutative Property of Multiplication Which property justifies Step 2? 1. (x+5)(x-3) = 0 x2 + 2x - 15 = 0 2. x+5 = 0 or x -3 = 0 3. x = -5, 3 x2 + 3x - 2 = 0 x2 - 3x + 2 = 0 x2 - 3x - 4 = 0 x2 - 3x - 2 = 0 Which quadratic equation is being used for the following? (Quadratic Formula) x = 3 ±√9 - 4(1)(-2) 2 x2 + 7x =-3 2x2 + 7x = -3 x2 + 7x - 4 = 0 2x2 - 7x + 3 = 0 Using the quadratic formula, which equation is used? x = -7 ± √49 - 4(2)(3) 4 Fill in the blanks by dragging the correct choices to their places. x = 6 ? ± x2 - 6x = -8 √ 36 ? - ( 2 4 ? ) ( 1 ? ) ( 8 ? ) Fill in the blanks of the quadratic formula by dragging the boxes at the bottom into their correct places. x = -b ? ± √ 2a ? b2 ? - 4ac ? |