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, 2x + 3 is an algebraic expression.

Front

How do you evaluate an algebraic expression?

Back

To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations according to the order of operations.

Front

What does it mean to substitute a value in an expression?

Back

Substituting a value means replacing a variable in an expression with a specific number.

Front

Evaluate: b² + 4 when b = 3.

Back

13

Front

Evaluate: 2(a - 5) + 2 when a = 15.

Back

22

Front

Evaluate: x² when x = -2.

Back

4

Front

Evaluate: 6a - 3d when a = 1 and d = 2.

Back

0

Front

Evaluate: 19 + h when h = -6.

Back

13

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). Often remembered by the acronym PEMDAS.

Front

What is a variable in algebra?

Back

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