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algebraic expressions working model project - maths tlm - maths project - diy - simple and easy steps
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Algebraic expressions are mathematical expressions that consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.
Key components of algebraic expressions:
Variables: Variables are represented by letters or symbols (e.g., x, y, a, b) and represent unknown or changing quantities. They can take on different values in different contexts. In algebraic expressions, variables are often used to represent quantities that can vary.
Constants: Constants are fixed numbers that have specific values and do not change within a given context. For example, the number 5 is a constant because its value is always 5.
Coefficients: Coefficients are the numerical factors that multiply variables in an algebraic expression. For example, in the expression 3x, the coefficient is 3.
Terms: Terms are individual components of an algebraic expression separated by addition or subtraction. For example, in the expression 2x + 3y - 5, there are three terms: 2x, 3y, and -5.
Like Terms: Like terms are terms that have the same variable(s) raised to the same exponent(s). They can be combined through addition or subtraction. For example, in the expression 2x + 3y + 4x - 2y, the like terms are 2x and 4x, and 3y and -2y.
Exponents: Exponents are used to indicate the power to which a variable or constant is raised. For example, in the expression x^2, the variable x is raised to the power of 2.
Examples of algebraic expressions:
3x + 5: This expression has two terms (3x and 5) and a variable (x) with a coefficient of 3.
2y^2 - 7y + 1: This expression has three terms (2y^2, -7y, and 1) and a variable (y) with a coefficient of 2 and -7.
4a + 2b - 3c: This expression has three terms (4a, 2b, and -3c) and three variables (a, b, and c) with coefficients of 4, 2, and -3, respectively.
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