Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

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

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical value.

Front

Evaluate the expression 2x + 3 when x = 4.

Back

2(4) + 3 = 8 + 3 = 11.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 5y, 'y' is the variable.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 7x, 7 is the coefficient.

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What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 4x + 5, the number 5 is a constant.

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How do you simplify the expression 3(x + 2)?

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To simplify, distribute the 3: 3(x) + 3(2) = 3x + 6.

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What is the difference between an expression and an equation?

Back

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.

Front

Evaluate the expression 5a - 2b when a = 3 and b = 1.

Back

5(3) - 2(1) = 15 - 2 = 13.

Front

What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.