Evaluating Expressions

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

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 and performing the operations.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you substitute a value into an expression?

Back

To substitute a value into an expression, replace the variable with the given number and then simplify the expression.

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one, such as 2x + 3.

Front

What is a quadratic expression?

Back

A quadratic expression is an algebraic expression in which the highest power of the variable is two, such as x^2 + 3x + 2.

Front

How do you evaluate an expression with multiple variables?

Back

To evaluate an expression with multiple variables, substitute each variable with its corresponding value and then simplify the expression.

Front

What is the significance of parentheses in expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

What is the result of evaluating the expression 2x + 3 when x = 4?

Back

The result is 2(4) + 3 = 8 + 3 = 11.

Front

How do you handle negative numbers in expressions?

Back

When evaluating expressions with negative numbers, apply the rules of arithmetic carefully, especially with addition and subtraction.