Algebra 2 Foundations Worksheet
This worksheet covers foundational concepts in Algebra 2, including solving quadratic equations, understanding function notation, and working with inequalities, designed for grade 9 students.
Includes
Standards
Topics
Algebra 2 Foundations
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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 a quadratic equation?
$$2x + 5 = 11$$
$$3x^2 - 4x + 1 = 0$$
$$4x^3 + 2x = 7$$
$$\frac{5}{x} + 2 = 9$$
2. If $$f(x) = x^2 - 3x + 2$$, what is $$f(-1)$$?
$$-2$$
$$0$$
$$6$$
$$8$$
3. The solutions to a quadratic equation are also known as the or .
4. A linear inequality with one variable can be represented on a .
5. Solve the quadratic equation by factoring: $$x^2 + 5x + 6 = 0$$
6. Graph the inequality $$y > 2x - 1$$ on a coordinate plane.
7. The graph of a quadratic function is always a parabola.
True
False
8. The discriminant of a quadratic equation can be used to determine the number of real solutions.
True
False
Match the term with its definition.
9. Vertex
a. A polynomial with the highest degree of 2.
10. Discriminant
b. The point where a parabola changes direction.
11. Quadratic
c. The value $$b^2 - 4ac$$ in the quadratic formula.