Algebra 2
4.7-4.10 Quadratics Practice Quiz
Name______________
#1-4 Solve each equation using the given method.
1. Quadratic Formula
2. Quadratic Formula
6-2x2=9x+15
7x2 + 4x = -2
3. Completing the Square
x2 – 6x + 4 = 0
#5-8Solve using method of choice
5. x 2  6 x  18  0
4. Completing the Square
4x2 + 8x + 3
6. 12 x  5  2 x 2  13
7. 3(x + 1)2 + 4 = 22
8. 2x2 + 7x + 3 = 0
For problems 8 and 9, write the quadratic function in vertex form. Then identify the vertex.
8. y = x2 -8x + 19
9. y = 5x2 +10x +7
Vertex Form____________
Vertex_________________
Vertex Form____________
Vertex_________________
10. What is the discriminant of
3x2 - 5x – 2 = 0
11. Use the discriminant to
describe the nature of the roots.
y = 7x2 + 6x + 2
12. Sketch an example of a
quadratic equation that has 2 real
solutions.
13. Sketch an example of a
quadratic equation that has 1 real
solution.
14. Sketch an example of a
quadratic equation that has 2
imaginary solutions.
Graph the following inequalities. Do not solve.
15. y > x2 – 2x + 1
16. y > x2 + 2x + 1
y < x2 – 4x + 4
Vertex________________
Vertex (top)________________
Bounded/Unbounded Feasible Region/Other
Vertex(bottom)________________
Explain
Bounded/Unbounded Feasible Region/Other
Explain
17.
y  2 x2
y   x2 1
Vertex (top)________________
Vertex(bottom)________________
Bounded/Unbounded Feasible Region/Other
Expalin
18. Solve the inequality algebraically. Put
answers in Set Builder Notation.
19. Solve the inequality algebraically. Put answers
in Interval Notation.
x2 – 4 < 0
x2 + 3x – 18 > 0
Set Builder Notation____________________
Interval Notation______________________
34. A contestant tosses a horseshoe from one pit to another with an initial vertical velocity of 50 feet per
second. The horseshoe is released 3 feet above the ground.
Use the model h =  16t2 + 50t + 3 where h is the height (in feet) and t is the time (in seconds).
a) How many seconds until the maximum height is reached?________________
b) What will be the maximum height?____________.
c) Approximately, how many seconds until the object hits the ground?______________