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 used when 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

How do you evaluate the expression a^2 - b^2 when a = 4 and b = -2?

Back

Substituting the values gives: 4^2 - (-2)^2 = 16 - 4 = 12.

Front

What is the formula for the sum of squares?

Back

The sum of squares formula is x^2 + y^2 = (x + yi)(x - yi), where i is the imaginary unit.

Front

How do you evaluate the expression |10p - 7q| when p = 9 and q = 2?

Back

Substituting the values gives: |10(9) - 7(2)| = |90 - 14| = |76| = 76.

Front

What is the significance of absolute value in expressions?

Back

Absolute value measures the distance of a number from zero on the number line, always resulting in a non-negative value.

Front

How do you evaluate the expression bc + 5a when a = 3, b = 4, and c = -6?

Back

Substituting the values gives: (4)(-6) + 5(3) = -24 + 15 = -9.

Front

What is the formula for evaluating linear expressions?

Back

A linear expression can be evaluated by substituting the variable values into the expression and simplifying.

Front

How do you evaluate the expression 4h + 2g + 4 when g = 3 and h = 9?

Back

Substituting the values gives: 4(9) + 2(3) + 4 = 36 + 6 + 4 = 46.