Evaluating Algebraic Expressions Using Substitution

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: a² - b² when a = 4 and b = 2.

Back

12

Front

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

Back

22

Front

Evaluate: 3x + 8 when x = 2.

Back

14

Front

Evaluate: 2x + 3 + x² when x = 4.

Back

27

Front

Evaluate: bc + 5a when a = 3, b = 4, and c = -6.

Back

-9

Front

What is substitution in algebra?

Back

Substitution in algebra is the process of replacing a variable with a number or another expression.

Front

What is the order of operations in evaluating expressions?

Back

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

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.