Algebraic Expressions and One Step Equations

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What does it mean to factor an expression?

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Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression. For example, factoring 12x + 9 gives 3(4x + 3).

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What is a variable in algebra?

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A variable is a symbol, usually a letter, that represents an unknown number. For example, in the expression x + 5, 'x' is the variable.

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

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What is the solution to the equation x + 12 = 20?

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The solution is x = 8.

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What is the first step to solve the equation -16 + x = -15?

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The first step is to add 16 to both sides of the equation.

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What does the term 'addition' mean in algebra?

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In algebra, 'addition' refers to the operation of combining two or more numbers or expressions to get a total. It can be represented by the symbol '+'.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What is the purpose of solving an equation?

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The purpose of solving an equation is to find the value of the variable that makes the equation true.

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What does it mean to isolate a variable?

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To isolate a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.