Algebra 2 Review
A comprehensive review worksheet for Algebra 2 covering functions, equations, and graphs.
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Algebra 2 Review
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is the graph of a quadratic function?
2. What is the solution to the equation |2x - 3| = 7?
x = 5 only
x = -2 only
x = 5 or x = -2
No solution
3. The of a parabola is the point where it changes direction.
4. A polynomial of degree 3 is called a polynomial.
5. Factor the quadratic expression: x² + 7x + 10.
6. Solve the system of equations: y = 2x + 1 and y = -x + 4.
7. The graph of y = 2^x has a y-intercept at (0, 2).
True
False
8. The domain of a rational function excludes values that make the denominator zero.
True
False
9. Graph the function f(x) = (x - 2)² + 1 on the coordinate plane below.
Match each term with its definition.
10. Asymptote
a. The highest power of the variable in a polynomial.
11. Degree
b. A line that a curve approaches as it heads towards infinity.
12. Vertex
c. The point where a quadratic function reaches its maximum or minimum value.