Unit 5 - Algebraic Expressions Mid Chapter Flashcard

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2n + 3 is an algebraic expression.

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What does it mean to double a number in algebra?

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To double a number means to multiply it by 2. For example, if n is a number, doubling it would be represented as 2n.

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How do you express 'the sum of a number and 8' in algebraic form?

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The sum of a number n and 8 is expressed as n + 8.

Front

What is the exponential form of multiplying a number by itself multiple times?

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The exponential form represents repeated multiplication. For example, 5 x 5 x 5 x 5 can be written as 5^4.

Front

How do you evaluate an expression with variables?

Back

To evaluate an expression with variables, substitute the values of the variables into the expression and perform the operations. For example, for (ac)^b with a=2, b=3, c=4, substitute to get (2*4)^3 = 512.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 3n, n is the variable.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is the coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable. For example, in 4n, 4 is the coefficient.

Front

What is the constant in an algebraic expression?

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A constant is a fixed value that does not change. For example, in the expression 3n + 5, 5 is the constant.