Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

Define a variable in the context of algebraic expressions.

Back

A variable is a symbol, often a letter, that represents an unknown value in an algebraic expression.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is the difference between a constant and a variable?

Back

A constant is a fixed value that does not change, while a variable can represent different values.

Front

How do you simplify an algebraic expression?

Back

To simplify an algebraic expression, combine like terms and perform any operations to reduce it to its simplest form.

Front

What is the formula for the difference of squares?

Back

The difference of squares formula is a² - b² = (a - b)(a + b).

Front

Evaluate the expression 4x when x = 5.

Back

When x = 5, 4x = 4 * 5 = 20.

Front

What is the value of b² + 4 when b = 3?

Back

When b = 3, b² + 4 = 3² + 4 = 9 + 4 = 13.

Front

How do you substitute values into an algebraic expression?

Back

To substitute values, replace the variables in the expression with the given numbers.

Front

What is the result of evaluating (9x²)/a for a = 9 and x = 3?

Back

When a = 9 and x = 3, (9x²)/a = (9 * 3²)/9 = 9.