Evaluating Expressions

Front

What is the process of evaluating an expression?

Back

Evaluating an expression involves substituting the values of variables into the expression and performing the necessary arithmetic operations to simplify it to a single numerical value.

Front

How do you evaluate the expression 4y when y = 3?

Back

Substitute 3 for y: 4 * 3 = 12.

Front

What is the value of the expression bc + 5a when a = 3, b = 4, and c = -6?

Back

Substituting the values: 4 * -6 + 5 * 3 = -24 + 15 = -9.

Front

How do you evaluate the expression 2a + 4b if a = 10 and b = 6?

Back

Substituting the values: 2 * 10 + 4 * 6 = 20 + 24 = 44.

Front

What is the result of evaluating 6y - 13 when y = 4?

Back

Substituting 4 for y: 6 * 4 - 13 = 24 - 13 = 11.

Front

How do you evaluate the expression z^2 - 2x when x = 5 and z = 4?

Back

Substituting the values: 4^2 - 2 * 5 = 16 - 10 = 6.

Front

What is the importance of following the order of operations when evaluating expressions?

Back

Following the order of operations (PEMDAS/BODMAS) ensures that expressions are evaluated correctly, prioritizing parentheses, exponents, multiplication and division, and addition and subtraction.

Front

What does the term 'variable' mean in mathematics?

Back

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

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

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

Back

Combine like terms: 3x + 2x = 5x.