1. 𝑥 −2 10𝑥 +10
An object is launched at 19.6 meters per second (m/s) from a 58.8 meter tall platform. The equation for the object’s height s at time t seconds after the launch is s(t) = -4.9t t , where s is in meters. When does the object strike the ground?

2. 6 seconds
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The equation for the object’s height s at time t seconds after the launch is s(t) = -16t2 + 64t How long will it take for the object to reach its maximum height?

3. 2 seconds
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The equation for the object’s height s at time t seconds after the launch is s(t) = -16t2 + 64t What will the object’s maximum height be?

4. 144 feet
Solve the equation using the square root method. 5x2 – 11 = 234

5. ±7
Solve the equation using the square root method. 2x2 – 52 = 0

6. ± 26
Solve by factoring. 2x2 + 7x= 42 – x

7. x = -7 and x = 3
Factor the quadratic expression. 4x2 + 44x + 96

8. 4(x + 3)(x + 8)
Simplify the following expression. 9 −45

9. ±27i 5
Simplify the expression below. ( i) – (1 – 2i)

10. i
Simplify the expression below i 3 + i

11. i 5
Solve by completing the square. 3x2 – 6x – 45 = 0

12. X = -3 and x = 5
Simplify the expression below. (4 – i)(9 + 5i)

13. i
Solve by completing the square. x2 – 4x – 45 = 0

14. x = -5 and x = 9
Solve using the quadratic formula. x2 + 5x + 8 = 0

15. -5 ± i 7 2
The cost per person to rent a mountain cabin varies inversely to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

16. $22.50
The distance traveled varies directly with the time of travel. If the time traveled is 250 meters in 25 seconds, find the distance traveled in 60 seconds.

17. 600 meters
Find the discriminant of the equation, then determine the number of type of roots. -x2 + 4x – 11 = 0

18. -28, 2 imaginary roots
Find the discriminant of the equation, then determine the number and type of roots. 4x2 – 20x + 25 = 0

19. 0, 1 rational & real root
The table below shows the hourly temperatures, for a city in Ohio on February 10, 2012, as predicted by the weatherman at the local news station. (Use a 24-hour clock to represent times after noon, for example: 1 p.m. = 13) Write an equation for the curve line of best fit. (Quadratic Regression)
Time
10 a.m.
11 a.m.
12 p.m.
1 p.m.
2 p.m.
3 p.m.
Temp (∘F) 18 20 22 23 25

20. y = -.446x x –
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting rectangle is 126 in2. What was the original side length of the square?

21. 10 inches
Use the coordinate plane to the right to answer the following: Point B is translated 6 units to the right and 5 units down. What are the new coordinates for B’?

22. (9, -3)
If the figure to the right is reflected over the x-axis, which quadrant will the new image be in?

23. IV
What is the solution set for the quadratic equation graphed to the right.

24. x = -4 and x = 0
What is the only transformation that changes the SIZE of the original image? (translation, rotation, reflection, dilation)

25. Dilation
The point (6, -4) is rotated 270∘ clockwise about the origin and then dilated by a scale factor of 2. What are the new coordinates of the resulting image?

26. (8, 12)
The triangle ABC has coordinates of A(5, 7), B(8, 5) and C(2, -4). The image is rotated 180∘ counter clockwise. What are the coordinates for B’?

27. (-8, -5)
Determine if the graph’s vertex is a maximum or minimum. Then, state the coordinates of the vertex.

28. (-2, -3)
Write a function that represents the parent function, y = x2 after it has been translated 10 units down and 4 units to the left.

29. y = (x + 4)2 – 10
What is the axis of symmetry for the quadratic function below: 3x2 – 18x + 20

30. x = 3
Find the translation rule that describes the translation from W(3, -5) to X (-2, 6).

31. (x -5, y + 11)
Solve the equation and check for extraneous solutions. −7 𝑥+1 =−14

32. x = 3
Simplify. ( 𝑥 − 10 )2