Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for the variables and performing the operations.

Front

What is the order of operations?

Back

The order of operations is a set of rules that tells you the sequence to follow when performing calculations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown number or value in an expression or equation.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 3x, 3 is the coefficient.

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What is a constant in algebra?

Back

A constant is a fixed value that does not change. For example, in the expression 2x + 5, the number 5 is a constant.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and perform operations to make the expression as simple as possible.

Front

What is a term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. For example, in 4x + 3y - 5, there are three terms: 4x, 3y, and -5.

Front

What is the result of (4 - 2) x 9 + 7?

Back

The result is 25. First, calculate (4 - 2) = 2, then 2 x 9 = 18, and finally 18 + 7 = 25.

Front

What is the result of (19 - 7) ÷ 4 + 11?

Back

The result is 14. First, calculate (19 - 7) = 12, then 12 ÷ 4 = 3, and finally 3 + 11 = 14.