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## Questions and Answers

What is an equation in algebra?

What is the general form of a linear equation?

What is a quadratic equation?

What is a solution to an equation?

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What is an inequality?

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## Study Notes

### Algebra

#### Equations and Inequalities

- An equation is a statement that says two mathematical expressions are equal
- A solution to an equation is a value that makes the equation true
- Linear equations: ax + by = c, where a, b, and c are constants
- Quadratic equations: ax^2 + bx + c = 0, where a, b, and c are constants
- Inequalities: statements that compare two expressions using >, <, ≥, or ≤

#### Functions

- A function is a relation between a set of inputs (domain) and a set of possible outputs (range)
- Functions can be represented algebraically, graphically, or numerically
- Domain and range of a function can be restricted or extended
- Types of functions: linear, quadratic, polynomial, exponential, trigonometric

#### Graphing

- Graphing is a visual representation of a function or relation
- Coordinates (x, y) are used to plot points on a graph
- Graphs can be used to identify key features: intercepts, asymptotes, maxima/minima
- Graphing methods: plotting points, using tables, and graphing calculators

### Geometry

#### Points, Lines, and Planes

- A point is a location in space, represented by a set of coordinates
- A line is a set of points extending infinitely in two directions
- A plane is a flat surface that extends infinitely in all directions
- Intersections: points, lines, and planes can intersect at single points or along lines

#### Angles and Measurements

- Angles: formed by two rays sharing a common endpoint (vertex)
- Angle measurements: degrees, radians, and right angles (90°)
- Types of angles: acute, obtuse, straight, and reflex
- Properties of angles: supplementary, complementary, and corresponding

#### Shapes and Solids

- Two-dimensional shapes: triangles, quadrilaterals, polygons, circles
- Three-dimensional shapes: pyramids, prisms, spheres, cylinders
- Properties of shapes: congruence, similarity, and symmetry
- Formulas for perimeter, area, and volume of various shapes

### Algebra

#### Equations

- An equation is a statement that says two mathematical expressions are equal.
- A solution to an equation is a value that makes the equation true.

#### Linear Equations

- The general form of a linear equation is ax + by = c, where a, b, and c are constants.

#### Quadratic Equations

- The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

#### Inequalities

- Inequalities are statements that compare two expressions using >, <, ≥, ≤, or ≠.

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## Description

Test your understanding of algebraic concepts, including equations, inequalities, and functions. Learn to solve linear and quadratic equations, and understand the basics of functions.