In mathematics, a vertex is a point where two or more lines, curves, or edges meet. In the context of geometry, a vertex is the point where two or more line segments, rays, or lines meet to form an angle. The plural form of vertex is vertices.

In geometry, a vertex can refer to the point where the sides of a polygon meet or the point where the edges of a polyhedron meet. For example, in a triangle, each of the three corners is a vertex. In a cube, each of the eight corners is a vertex.

In algebra, the term "vertex" is often used in the context of quadratic functions. The vertex of a parabola is the highest or lowest point on the graph of the quadratic function. It is the point where the graph changes direction. The vertex of a parabola can be found using the formula:

**Vertex** = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic function in the form y = ax^2 + bx + c.

Here are some key points to remember about vertices:

- A vertex is a point where two or more lines, curves, or edges meet.
- In geometry, vertices are the points where the sides of a polygon or the edges of a polyhedron meet.
- In algebra, the vertex of a parabola is the highest or lowest point on the graph of a quadratic function.
- The vertex of a parabola can be found using the formula (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic function.

Understanding the concept of vertices is important in various areas of mathematics, including geometry and algebra. Practice identifying vertices in different shapes and graphs to solidify your understanding of this fundamental concept.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.