Algebra I Vocabulary

3. A set of two or more equations with the same variables.
4. A linear equation written in the form y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
7. In an exponential function, the base b when b > 1, indicating exponential growth.
10. The highest or lowest point on a parabola.
13. In an exponential function, the base b when 0 < b < 1, indicating exponential decay.
15. A function in which the variable is an exponent, typically written as y = ab^x.
16. A formula that provides the solutions to a quadratic equation: x = [-b ± √(b² - 4ac)] / (2a).
17. The set of all possible input values (x-values) for a function.
18. The set of all possible output values (y-values) for a function.
19. A relation where each input has exactly one output.
22. A mathematical statement that compares two expressions using inequality symbols.
24. A measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points (rise over run).
25. The process of writing a polynomial as a product of its factors.
27. A number multiplied by a variable in an algebraic expression.
28. A function that can be written in the form y = ax² + bx + c, where a ≠ 0.
29. A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.
30. A linear equation written in the form y = mx + b, where m is the slope and b is the y-intercept.

1. A linear equation written in the form Ax + By = C, where A, B, and C are constants.
2. A way to name a function using symbols, typically written as f(x).
5. The variable that represents the input of a function, often denoted as x.
6. The U-shaped graph of a quadratic function.
8. A value that does not change.
9. The point where a line crosses the y-axis on a graph.
11. A symbol, usually a letter, that represents an unknown number.
12. The set of values that satisfy all equations in the system.
14. A mathematical phrase that can include numbers, variables, and operation symbols.
20. A vertical line that divides a parabola into two mirror images.
21. The variable that represents the output of a function, often denoted as y.
23. An equation that graphs as a straight line.
26. A mathematical statement that two expressions are equal.