In mathematics, a term is a single mathematical expression. It could be a number, a variable, or a combination of numbers, variables, and operations. Understanding terms is essential when working with algebraic expressions and equations.

**Constant Terms:**These are terms that contain only a number, such as 5, -3, 1.2, etc.**Variable Terms:**These are terms that contain only a variable, such as x, y, a, b, etc.**Coefficient:**The coefficient of a term is the numerical factor of the term. For example, in the term 3x, the coefficient is 3.**Like Terms:**Like terms are terms that have the same variable(s) raised to the same power. For example, 4x and -2x are like terms.

When given an algebraic expression, it's important to be able to identify the individual terms within the expression. For example, in the expression 2x + 3y - 5, the terms are 2x, 3y, and -5.

When simplifying algebraic expressions, it's often necessary to combine like terms. This involves adding or subtracting the coefficients of like terms while keeping the variables unchanged. For example, to simplify 3x + 2x, you would combine the coefficients to get 5x.

Here are some key points to remember about terms in mathematics:

- Terms are individual mathematical expressions.
- They can be constant, variable, or a combination of both.
- Like terms have the same variables raised to the same power.
- Coefficients are the numerical factors of terms.
- When simplifying expressions, combine like terms by adding or subtracting their coefficients.

Practice identifying terms in algebraic expressions and combining like terms to strengthen your understanding of this concept.

Remember, understanding terms is crucial when working with algebra, so take your time to master this concept!

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Introduction to Algebra Worksheet/Answer key

Introduction to Algebra Worksheet/Answer key

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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.