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

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

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. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you substitute a value into an algebraic expression?

Back

To substitute a value into an algebraic expression, replace the variable with the given value and then simplify the expression.

Front

What is the result of evaluating the expression 12 ÷ a + 8 when a = 4?

Back

The result is 11.

Front

How do you simplify the expression 2x + 5(y - 1) when x=8 and y=5?

Back

First, substitute x and y: 2(8) + 5(5 - 1) = 16 + 20 = 36.

Front

What is the value of the expression 13 + 6x for x = 2?

Back

The value is 25.

Front

How do you evaluate the expression 6a + 2(c - b) when a = 2, b = 1, c = 9?

Back

Substituting the values gives: 6(2) + 2(9 - 1) = 12 + 16 = 28.

Front

What is the expression 2x + x² evaluated for x = 3?

Back

The expression evaluates to 15.

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 algebraic expression.