Here are the essential concepts you must grasp in order to answer the question correctly.
Combining Like Terms
Combining like terms is a fundamental algebraic process where terms with the same variable and exponent are added or subtracted. In the expression 7x + 5x, both terms are 'like' because they contain the variable x raised to the first power. This allows us to simplify the expression by adding the coefficients (7 and 5) together.
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Coefficients
Coefficients are the numerical factors that multiply the variables in algebraic expressions. In the expression 7x + 5x, the coefficients are 7 and 5. Understanding coefficients is essential for simplifying expressions, as they determine how many units of the variable are present in each term.
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Algebraic Expressions
Algebraic expressions are combinations of numbers, variables, and operations that represent a value. They can include constants, coefficients, and various mathematical operations. Simplifying algebraic expressions, like 7x + 5x, is a key skill in algebra that helps in solving equations and understanding mathematical relationships.
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Introduction to Algebraic Expressions