Writing and 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 + 4 is an algebraic expression.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, usually a letter, that represents an unknown value. In the expression 3x + 4y, x and y are variables.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 15p + 12, the number 12 is a constant.

Front

How do you translate a phrase into an algebraic expression?

Back

To translate a phrase into an algebraic expression, identify the operations and variables involved. For example, '8 less than the product of 4 and a number' translates to 4m - 8.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers. For example, evaluating 2x + 3 when x = 2 gives 2(2) + 3 = 7.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: 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 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, indicated by an equality sign (e.g., 2x + 3 = 7).

Front

How do you identify the coefficient in an algebraic expression?

Back

The coefficient is the numerical factor that multiplies a variable in an expression. In 5x + 3, the coefficient of x is 5.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a product of numbers and variables. For example, in 3x + 4y - 7, the terms are 3x, 4y, and -7.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form. For example, 2x + 3x simplifies to 5x.