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Algebra 2 Chapter 5 Review Sophomore Davis
Section 1: Graphing Quadratic Functions and Quadratic Inequalities
Graph each of the quadratic functions. Write each equation in vertex form, state the vertex, axis
of symmetry, and x-intercepts of each graph. (3 pts for each function)
1. 1
( 1)( 5)3
y x x
Vertex Form: _____________________
Vertex: ______________
Axis of Symmetry: ______________
x-intercepts: ______________
2. 22 8 5y x x
Vertex Form: _____________________
Vertex: ______________
Axis of Symmetry: ______________
x-intercepts: ______________
3. 2( 3) 1y x
Vertex Form: _____________________
Vertex: ______________
Axis of Symmetry: ______________
x-intercepts: _____________
Section 2: Zero Product Property
Solve the quadratic equation by factoring. (3 points each)
4. 33 108 0x x
5. 29 6 1x x
6. 24 15 28x x
Section 3: Simplifying Expressions
Simplify the expression. Write any complex numbers in standard form.
(2 points each)
7. 72
8. 8 4 162
9. 98
3
10. 7 9 8i
11. (7 9 ) (11 13 )i i
12. 9
3 i
Algebra 2 Chapter 5 Review Sophomore Davis
Section 4: Finding Zeros
Determine the value(s) of the zero(s) of each function. (3 points each)
13. 2 8 3y x x
14. 213 42y x x
Section 5: The Discriminant
Determine the value of the discriminant of the equation and state the number and type of
solutions of the equation. (3 points each)
15. 27 10 0x x
Discriminant = _______________
Number and Type of Solutions: __________________
16. 2 8 5 0x x
Discriminant = _______________
Number and Type of Solutions: __________________
17. 22 18 13 0x x
Discriminant = _______________
Number and Type of Solutions: __________________
Section 6: Solving Quadratic Equations
Solve the quadratic equation using any method. Show all work!! (3 points each)
18. 25 60 180 0x x
19. 2 25 6 7 4x x x x
20. 23( 9) 81x
21. 25 22 13x
Section 7: Powers of i
Evaluate the expression. The only degree of i allowed in any expression is 1. (2 pts)
22. 23 2 375 14 4i i i
23. 23,479i
24. 2 415 4i i
Section 8: Grab Bag Answer each question completely. Be sure to show all work.
There will also be one word problem and one mystery problem.
Study the following extra problems from the book:
p.254 #51, 52, 53; p.262 #101; p.268 #71, 73; p.288 #90, 91
p.316 #33-35
