- An Expression is a mathematical statement comprising variables, numbers, and operators.
- An expression can be of two types - numerical expression and algebraic expression.
- A numerical expression involves only numbers and mathematical operators (no variables). Example: .
- An algebraic expression involves numbers, variables, and mathematical operators. Example: .
- Below are some of the laws obeyed by the algebraic expressions:
- Commutative law:
- Associative law:
- Distributive law:
- To simplify an algebraic expression, perform the following steps as applicable:
- First, express the given expression in expanded form, if possible.
- Then, identify and combine like terms to get a simplified expression.
- An algebraic expression can be evaluated by following the two steps mentioned below:
- First, replace variables with their respective values.
- Then, apply the correct order of operations to get the final result.
Question 1: Simplify the given algebraic expression.
Question 2: Simplify the given algebraic expression.
Question 3: Evaluate when .
Question 4: Find the value of if and .
- An algebraic expression is a mathematical statement that contains numbers, variables, and mathematical operators.
- To evaluate an algebraic expression, we replace the variable(s) with the given values and simplify to find the value of the expression.
- An algebraic expression follows commutative laws, associative laws, and distributive laws.
- When substituting values into algebraic expressions, it is good practice to put the substituted value in parentheses to prevent committing any mistake.