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, 3x + 5 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical result.

Front

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

Back

0

Front

What is the first step in evaluating the expression (3 + 4) 9 + 3?

Back

Calculate the value inside the parentheses: (3 + 4) = 7.

Front

What is the second step in evaluating the expression (3 + 4) 9 + 3?

Back

Multiplication: 7 * 9 = 63.

Front

Evaluate the expression: 3x + 8 when x = 2.

Back

14

Front

Evaluate the expression: 2x + 3 + x² for x = 4.

Back

27

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.

Front

Evaluate the expression: 2 + (12 - 5x) ⋅ 2y when x = 2 and y = 5.

Back

22

Front

What is a variable in an algebraic expression?

Back

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