Expressions, Equations, Substitution and Word Problems

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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 is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 12x, 12 is the coefficient.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 12x - 7, -7 is the constant.

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How do you represent the difference of two numbers in algebra?

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The difference of two numbers can be represented as 'first number - second number'. For example, the difference of 19 and x is written as 19 - x.

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What does the term 'quotient' mean in mathematics?

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The quotient is the result of dividing one number by another. For example, the quotient of 8 and 2 is written as 8 / 2.

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What type of expression is 5 + 7x?

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5 + 7x is a variable expression because it contains a variable (x) and a constant (5).

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What is substitution in algebra?

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Substitution is the process of replacing a variable in an expression with a specific value. For example, if x = 2, then in the expression 3x + 1, substituting gives 3(2) + 1 = 7.

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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 an equal sign '='. For example, 2x + 3 = 7 is an equation.

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What is a one-step equation?

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A one-step equation is an equation that can be solved in a single step. For example, x + 5 = 10 can be solved by subtracting 5 from both sides.