Evaluating Expressions

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

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, calculate the exponent first, then perform the remaining operations in the order of operations.

Front

What is the value of 4 squared?

Back

4 squared (4^2) is 16.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, perform the operations inside the parentheses first, then apply the order of operations to the rest of the expression.

Front

What is the result of multiplying a negative number by a positive number?

Back

The result of multiplying a negative number by a positive number is always negative.

Front

What is the value of x in the expression 3x + 4 when x = -2?

Back

When x = -2, the expression 3x + 4 evaluates to -2.

Front

How do you evaluate an expression with both addition and subtraction?

Back

To evaluate an expression with both addition and subtraction, perform the operations from left to right after any parentheses and exponents have been resolved.

Front

What is the result of (-2)^2 - (-5)^2?

Back

The result of (-2)^2 - (-5)^2 is -21.

Front

How do you handle division in an expression?

Back

When handling division in an expression, perform the division operation as indicated, following the order of operations.

Front

What is the value of 8 divided by 4?

Back

8 divided by 4 is 2.