Algebra

Across

4. Values: Values where a function's derivative is zero or undefined.
6. Division: A shortcut method for dividing polynomials.
8. Side: The position of a ray after rotation in an angle.
12. of Functions: Combining two functions where the output of one becomes the input of the other.
16. Function: A function where the variable is an exponent, e.g., f(x)=axf(x)=ax.
17. Reciprocal of sine.
18. In a right triangle, opposite side divided by the hypotenuse.
25. The amount of space inside a two-dimensional shape.
26. Circle: A circle with radius 1 centered at the origin; used to define trigonometric functions.
27. A symbol (often x, y, or z) representing a value that can change.
28. Measure: An angle’s measure in radians, where 2π2π radians equals 360°.
30. To break an expression into simpler expressions that multiply to the original.
32. The horizontal axes of the coordinate plane.
33. Form A quadratic function written as y=a(x−h)2+ky=a(x−h)2+k, where (h, k) is the vertex.
36. Side (of an angle): The starting position of a ray before rotation.
37. Form (of an Equation): A way of writing equations (e.g., linear: Ax+By=CAx+By=C; quadratic: ax2+bx+cax2+bx+c).
38. A line that a graph approaches but never touches.
39. Rate of Change: How much a quantity changes, on average, over time (often slope).
42. A comparison of two quantities using division.
43. A relation in which each input has exactly one output.
44. A rectangular array of numbers used in algebra to represent systems and transformations.
46. Function: A function that contains a root, such as a square root.
47. Variation: A relationship where the product of two variables is constant (e.g., xy=kxy=k).
50. In a right triangle, adjacent side divided by the hypotenuse.

Down

1. (Angle): A unit for measuring angles, with 360° in a full rotation.
2. Part of the quadratic formula under the square root; determines the nature of roots.
3. A number multiplied by a variable.
5. Value: The distance of a number from zero on the number line; always non-negative.
7. Functions: Functions formed by applying one function to the result of another.
9. Formed by two rays with a common endpoint, measured in degrees or radians.
10. Theorem: Describes the expansion of powers of a binomial.
11. Function: A function that "undoes" another function.
13. Reciprocal of cosine.
14. Half the distance between the maximum and minimum values of a periodic function.
15. Function: A function in the form f(x)=1xf(x)=x1.
19. A type of conic section formed by intersecting a double cone with a plane.
20. The vertical axes of the coordinate plane.
21. The inverse of exponentiation; log⁡b(x)=ylogb(x)=y means by=xby=x.
22. In a right triangle, opposite side divided by adjacent side.
23. Radical Form: A radical expression simplified so no perfect square factors remain under the root.
24. An algebraic expression with two terms.
29. Position (of an Angle): An angle with its vertex at the origin and the initial side along the x-axis.
31. Reciprocal of tangent.
34. Angles: Angles that share the same terminal side but differ by full rotations.
35. Solution: A solution that arises from solving an equation but does not satisfy the original equation.
40. A binomial formed by changing the sign between two terms (e.g., a+ba+b and a−ba−b).
41. Function: A function that is the ratio of two polynomials.
45. Relation: The set of ordered pairs obtained by swapping x and y in the original relation.
48. Distance from the center of a circle to any point on the circle.
49. A unit for measuring angles based on the radius of a circle.