Evaluating Expressions

Front

What is the formula for the difference of squares?

Back

The difference of squares is given by the formula a² - b² = (a - b)(a + b).

Front

How do you evaluate an expression with given values for variables?

Back

To evaluate an expression, substitute the given values for the variables and perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Front

What is the order of operations in mathematics?

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 or BODMAS.

Front

How do you simplify the expression (18 - ab) + 4b?

Back

To simplify, substitute the values of a and b into the expression, then perform the arithmetic operations.

Front

What does it mean to evaluate x² - xy for specific values of x and y?

Back

It means to substitute the specific values of x and y into the expression and calculate the result.

Front

What is the result of evaluating 2x + 5(y - 1) when x=8 and y=5?

Back

The result is 36, calculated by substituting x and y into the expression and simplifying.

Front

How do you handle negative numbers in expressions?

Back

When evaluating expressions with negative numbers, treat them as you would positive numbers, but remember that subtracting a negative is equivalent to adding a positive.

Front

What is the significance of the expression (12xy)/(x - y) in evaluating expressions?

Back

This expression demonstrates how to handle division and multiplication of variables, and how to evaluate them with specific values.

Front

What is the result of evaluating a² - b² when a=4 and b=-2?

Back

The result is 12, calculated by substituting a and b into the expression and simplifying.

Front

How do you evaluate expressions with multiple variables?

Back

Substitute the values of all variables into the expression and perform the operations step by step.