Quadratics B-I-N-G-O

Directions Each student will fill out a BINGO card with the following ordered pairs in any block without repeating. To play, a question will be displayed. Each student will work out the problem on paper or on a white board. If the answer is found correctly, students may mark that answer on their BINGO boards. The first person to call BINGO wins!

B-I-N-G-O 0, −2 −3±3𝑖 7 8 −5, 1 4 {2± 2 } 1±7𝑖 5 1.36, 108.84 3 4 1 −1, 3 −5±𝑖 3 2 6±2𝑖 −1 ± 13𝑖 5 − 1 27 ,− 1 64 −64, 125 {0.5} ±4,± 5 ±7, ±1 5± 7 −4, −6 −7± 65 2 2, 6 −6 5 −3± 105 6

Question 1: Solve by graphing in standard form. x2 + 2x = 0 {0, -2}

Question #2 Solve using Quadratic Formula x4 – 50x2 + 49 = 0 ±7,±1

Solve using completing the square x2 + 5x + 7 = 0 Question #3 −5±𝑖 3 2

Solve using factoring 4x2 + 19x – 5 = 0 Question # 4 −𝟓, 𝟏 𝟒

3 4 Solve using the quadratic formula 10x2 -11x + 9 = 13x – 6x2 Question # 5 Solve using the quadratic formula 10x2 -11x + 9 = 13x – 6x2 3 4

Question # 6 The height of a rocket in meters can be found by the function h(t) = -4.9t2 + 540t + 25 where t is the elapsed time in seconds. Find the time or times that the rocket is 750 meters high to the nearest tenth of a second. Use the quadratic formula. {1.36 sec and 108.84 sec}

−3±3𝑖 7 8 Solve using the quadratic formula 7 –8x2 = 6x + 16 Question # 7 −3±3𝑖 7 8

Question # 8 Solve by graphing in vertex form y = (x + 5)2 - 1 −4, −6

Solve using quadratic formula Question # 9 Solve using quadratic formula 𝑦 − 2 3 +7 𝑦 − 1 3 +12=0 − 1 27 ,− 1 64

Solve using completing the square 7x2 – 20x + 4 = 8x - 10 Question # 10 Solve using completing the square 7x2 – 20x + 4 = 8x - 10 2± 2

Question # 11 How long will it take an object to fall from the roof of a building 400 feet above the ground? Use the formula h(x) = -16t2 + ho where t is the time in seconds and the initial height ho is in feet. 5 𝑠𝑒𝑐𝑜𝑛𝑑𝑠

−7± 65 2 Solve using completing the square 3x2 + 21x + 2 = 14 Question # 12 Solve using completing the square 3x2 + 21x + 2 = 14 −7± 65 2

Question # 13 Solve using quadratic formula x4 – 21x2 + 80 = 0 ±4, ± 5

Question # 14 Solve by graphing in standard form y = -x2 + 2x - 1 {1}

{6±2𝑖} Solve using completing the square 2x2 – 24x + 80 = 0 Question # 15 Solve using completing the square 2x2 – 24x + 80 = 0 {6±2𝑖}

𝑥 2 3 − 𝑥 1 3 −20=0 {-64, 125} Solve using quadratic formula Question # 16 𝑥 2 3 − 𝑥 1 3 −20=0 {-64, 125}

Question # 17 Lauren was eating lunch when she saw her friend Jason approach. The room was crowded and Jason had to lift his tray to avoid obstacles. Suddenly, a glass on Jason’s lunch tray tipped and fell off the tray. Lauren lunged forward and managed to catch the glass just before it hit the ground. The height h, in feet, of the glass t seconds after it was dropped is given h = - 16t2 + 4.5. Lauren caught the glass when it was six inches off the ground. How long was the glass in the air before Lauren caught it? {0.5 seconds}

{-1, 3} Solve by graphing in standard form 2x2 – 4x – 6 = 0 Question # 18 Solve by graphing in standard form 2x2 – 4x – 6 = 0 {-1, 3}

Solve using the quadratic formula Question # 19 𝑥 2 2 +1= 𝑥 5 1±7𝑖 5

−1±13𝑖 5 Solve by completing the square 10x2 + 4x + 77= 9 Question # 20 Solve by completing the square 10x2 + 4x + 77= 9 −1±13𝑖 5

Question # 21 Solve by graphing in vertex form y – 2 = ½ (x - 4)2 2, 6

Solve by completing the square x2 – 10x + 26 = 8 Question # 22 𝟓± 𝟕

−3± 105 6 Solve using the quadratic formula 3x2 – 11x = 8 – 14x Question # 23 Solve using the quadratic formula 3x2 – 11x = 8 – 14x −3± 105 6

Question # 24