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

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: a² - b² when a=4 and b=2.

Back

12

Front

Evaluate the expression: xy - 4(2) when x=7 and y=4.

Back

20

Front

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

Back

27

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

Parenthesis (calculate 3 + 4 first).

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). This is 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. For example, in the expression 3x + 2, x is the variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the expression 5x, 5 is the coefficient.