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 technique used to simplify expressions. It involves adding or subtracting coefficients of the same variable to consolidate terms into a simpler form. For example, in the equation 0.5x + 4/3x, both terms contain the variable x, allowing us to combine them into a single term.
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Isolating the Variable
Isolating the variable is a key step in solving equations, where the goal is to get the variable on one side of the equation and all other terms on the opposite side. This often involves performing inverse operations, such as addition, subtraction, multiplication, or division, to both sides of the equation. For instance, after combining like terms, you would isolate x by moving all x terms to one side and constant terms to the other.
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Equations with Two Variables
Balancing Equations
Balancing equations is a principle that states that both sides of an equation must remain equal after any operation is performed. This means that whatever you do to one side of the equation, you must do to the other side to maintain equality. This concept is crucial when solving equations, as it ensures that the solution derived is valid and satisfies the original equation.
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Categorizing Linear Equations