Algebra I Chapter 9 TEST
1. Write the quadratic formula:
2. Explain how you can determine the solution(s) to a quadratic equation from its graph.
Simplify the expression (leave in radical form).
80
9
3.
75
4. 3 24
5.
32
8
6.
7.
27
8. 16
9.
300
10. 5 12
11. Find the coordinates of the vertex and determine whether the graph opens up or down.
a) y = -2x2 – 8x + 3
12.
b) y = 2x2 + 12x + 5
A quadratic equation can have 2 solutions, 1 solution or no solutions. Give an example of how the graph of
a quadratic equation would look if it had:
2 solutions
1 solution
no solution
SHOW WORK
Use the quadratic formula to solve. Simplify to decimal (hundredth) or integer form. If it has no solution write no
solution.
13. x2 + 16x + 60 = 0
14. 8x2 + 40x + 12 = 0
15. x2 - 6x + 8 = 0
16. 3x2 – 12x – 36 = 0
17. 6x2 + 7x – 10 = 0
18. -3x2 + 6x = -8
20.
Your friend is standing on a 45-foot balcony. He asks you to throw a baseball up to him. You throw the
baseball with an initial velocity of 50 feet per second. Assuming that you released the baseball 6 feet above
the ground, did it reach your friend? (hint: h = -16t2 + vt + s)
23.
The number of recreational vehicles (RV's) sold in the United States from 1985 to 1991 can be modeled by
N = -9.5t2 + 48.9t + 343.5, where N represents the number of vehicles sold (in thousands)
and t represents the number of years since 1985. According to the model, in what year will the
number of RV's sold in the United States drop to 0?
24.
You throw a ball downward with an initial speed of 15 feet per second out a window 50 feet above ground.
How long will it take the ball to hit the ground? (hint: h = -16t2 + vt + s)
25.
You throw a rock up in the air from an initial height of 6 feet at an initial velocity of 30 feet per second.
How long will it take the rock to reach the ground? (hint: h = -16t2 + vt + s)