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.

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.

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!

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Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Develop an initial conceptual understanding of different uses of variables.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

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

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.