Math Bingo The review Game

Required Materials Piece of loose-leaf paper Pen and pencil Brain Graphing Calculator

Instructions On the top of the paper write the date and in big letters the word “BINGO”. Using the numbers 1-5 make 5 rows of 5 numbers below “BINGO” so that no number appears more than once in a column. With a pen, mark two of the “squares” as “FREE”

Sample Card B I N G O 1 2 3 4 5 free

Directions: 1) Use a graphing calculator to find the best-fitting quadratic model for the given data points. Write the regression equation. x y 2500 1 1750 2 1225 3 858 4 600

Answer: Use a graphing calculator to find the best-fitting quadratic model for the given data points. Write the regression equation. y = 81.57x2 – 795.49x + 2488.14 x y 2500 1 1750 2 1225 3 858 4 600

Directions: You and your friend are playing tennis Directions: You and your friend are playing tennis. Your friend lobs the ball high into the air, hitting it 3 feet above the court with an initial vertical velocity of 40 ft/sec. You back up and prepare to hit an overhead smash to win the point. 2) Write an equation giving the height of the lobbed tennis ball as a function of time.

Answer: You and your friend are playing tennis Answer: You and your friend are playing tennis. Your friend lobs the ball high into the air, hitting it 3 feet above the court with an initial vertical velocity of 40 ft/sec. You back up and prepare to hit an overhead smash to win the point. 2) Write an equation giving the height of the lobbed tennis ball as a function of time. h = -16t2 + 40 t + 3

Directions: You and your friend are playing tennis Directions: You and your friend are playing tennis. Your friend lobs the ball high into the air, hitting it 3 feet above the court with an initial vertical velocity of 40 ft/sec. You back up and prepare to hit an overhead smash to win the point. 3) How long does it take the ball to reach its maximum height above the court? What is the max height?

Directions: The Water Arc, a water cannon on the bank of the Chicago River sprays recirculated water across the river. The path of the water can be modeled by y = -.006x2 + 1.2x + 10 where x is the distance (in feet) across the river, y is the height of the arc (in feet) above the river. 3) How far across the river does the water land?

Answer: The Water Arc, a water cannon on the bank of the Chicago River sprays recirculated water across the river. The path of the water can be modeled by y = -.006x2 + 1.2x + 10 where x is the distance (in feet) across the river, y is the height of the arc (in feet) above the river. 3) How far across the river does the water land? 208 feet

Directions: The Water Arc, a water cannon on the bank of the Chicago River sprays recirculated water across the river. The path of the water can be modeled by y = -.006x2 + 1.2x + 10 where x is the distance (in feet) across the river, y is the height of the arc (in feet) above the river. 4) From what height is the water sprayed?

Answer: The Water Arc, a water cannon on the bank of the Chicago River sprays recirculated water across the river. The path of the water can be modeled by y = -.006x2 + 1.2x + 10 where x is the distance (in feet) across the river, y is the height of the arc (in feet) above the river. 4) From what height is the water sprayed? 10 feet

Directions: Use a vertical motion model to answer the following question. 5) An acorn falls 45 feet from the top of a tree. To the nearest hundredth, how long will it take for it to reach the ground?

Answer: Use a vertical motion model to answer the following question. 5) An acorn falls 45 feet from the top of a tree. To the nearest hundredth, how long will it take for it to reach the ground? 1.68 seconds

Directions: Use a vertical motion model to answer the following question. 6) A lacrosse player throws a ball upward from her playing stick with an initial height of 7 feet, at an initial speed of 90 feet per second. How long is the ball in the air after leaving her stick?

Answer: Use a vertical motion model to answer the following question. 6) A lacrosse player throws a ball upward from her playing stick with an initial height of 7 feet, at an initial speed of 90 feet per second. To the nearest tenth, how long is the ball in the air after leaving her stick? 5.7 seconds

Directions: Write a quadratic function in intercept form for the parabola shown. 7)

Answer: Write a quadratic function in intercept form for the parabola shown. 7) y = a(x – p)(x – q) y = a(x + 2)(x – 4) -4 = a(2 + 2)(2 – 4) -4 = -8a a = ½ y = ½(x + 2)(x – 4)

Directions: Write a quadratic function in vertex form for the parabola shown. 8)

Answer: Write a quadratic function in vertex form for the parabola shown. 8) y = a(x - h)2 + k y = a(x + 1)2 + 4 -4 = a(-3 + 1)2 + 4 -4 = 4a + 4 4a = -8 a = -2 y = -2(x + 1)2 + 4

9) Directions: A parabola passes the points (1,3), (-1,5), (0,3). Write a system of equations that can be solved to find the coefficients of the quadratic equation that passes through these points.

Answer: A parabola passes the points (1,3), (-1,5), (0,3). Write a system of equations that can be solved to find the coefficients of the quadratic equation that passes through these points. 3 = a + b + c 5 = a – b + c 3 = c

Good luck on your test tomorrow! The End!