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

How do you simplify an expression?

Back

To simplify an expression, combine like terms and perform operations in the correct order according to the order of operations (PEMDAS/BODMAS).

Front

What is the order of operations?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a variable in algebra?

Back

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

Front

What does it mean to substitute a value in an expression?

Back

Substituting a value in an expression means replacing the variable with a specific number to evaluate the expression.

Front

What is the result of evaluating the expression -8 + (15 - 3) ÷ 4?

Back

The result is -5.

Front

How do you evaluate the expression 4y when y = 3?

Back

Substitute 3 for y: 4(3) = 12.

Front

What is the value of the expression 4m - 2 when m = 4?

Back

The value is 14.

Front

How do you evaluate the expression 2r + 1 if r = -3?

Back

Substitute -3 for r: 2(-3) + 1 = -6 + 1 = -5.