Coefficients

In mathematics, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. It is the number that is being multiplied by the variable. For example, in the expression 3x, the coefficient is 3. Coefficients are important in algebra, as they allow us to perform operations on variables and constants in equations and expressions.

Finding Coefficients

To find the coefficient of a term in an algebraic expression, you can look for the numerical value that is being multiplied by the variable. For example, in the expression 5xy, the coefficient is 5. In the expression -2ab, the coefficient is -2.

Study Guide

Here are some key points to remember about coefficients:

A coefficient is the numerical factor of a term in an algebraic expression.
It is the number that is being multiplied by the variable.
Coefficients can be positive, negative, or zero.
In the expression 3x, the coefficient is 3.
In the expression -4y, the coefficient is -4.

Understanding coefficients is important in simplifying expressions, solving equations, and manipulating algebraic terms.

Practice identifying coefficients in different algebraic expressions to strengthen your understanding of this concept.

Hope this helps!

◂Math Worksheets and Study Guides Seventh Grade. Measurement, Perimeter, and Circumference

Study Guide

Measurement, Perimeter, and Circumference

Worksheet/Answer key

Measurement, Perimeter, and Circumference

Worksheet/Answer key

Measurement, Perimeter, and Circumference

Worksheet/Answer key

Measurement, Perimeter, and Circumference

The resources above cover the following skills:

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 7 Focal Points (NCTM)

Measurement and Geometry: Students connect their work on proportionality with their work on area and volume by investigating similar objects. They understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related. Students apply their work on proportionality to measurement in different contexts, including converting among different units of measurement to solve problems involving rates such as motion at a constant speed. They also apply proportionality when they work with the circumference, radius, and diameter of a circle; when they find the area of a sector of a circle; and when they make scale drawings.