Algebra 2 Review
This worksheet covers key concepts in Algebra 2, including quadratic equations, functions, and systems of equations.
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Algebra 2 Review Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work.
1. What are the roots of the quadratic equation x² - 5x + 6 = 0?
x = 2, x = 3
x = -2, x = -3
x = 1, x = 6
x = -1, x = -6
2. Which of the following is the graph of y = (x - 2)² + 1?
Parabola opening upwards, vertex at (2, 1)
Parabola opening downwards, vertex at (2, 1)
Parabola opening upwards, vertex at (-2, 1)
Parabola opening downwards, vertex at (-2, 1)
3. The of a quadratic function is the highest or lowest point on its graph.
4. The imaginary unit 'i' is defined as the square root of .
5. Solve the system of equations:
y = 2x + 1
y = -x + 4
6. The discriminant of a quadratic equation can determine the number and type of roots.
True
False
Match the term with its definition.
7. Parabola
a. The solution(s) to an equation
8. Roots
b. The graph of a quadratic function