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. It does not have an equality sign.

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 arithmetic operations.

Front

What does it mean to evaluate an expression at a given value?

Back

Evaluating an expression at a given value means substituting the specified value for the variable(s) in the expression and simplifying.

Front

Evaluate the expression \(\frac{q}{3}+4\) at \(q=18\).

Back

10

Front

Evaluate the expression \(v + w\) at \(v = 2\) and \(w = 5\).

Back

7

Front

Evaluate the expression \(16 - x\) at \(x = 5\).

Back

11

Front

Evaluate the expression \(\frac{xy}{z}\) at \(x = 4\), \(y = 6\), and \(z = 3\).

Back

8

Front

Evaluate the expression \(p^3\) at \(p = 2\).

Back

8

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, usually a letter, that represents an unknown value in an algebraic expression.