Evaluating Expressions

Front

What is the difference of squares formula?

Back

The difference of squares formula states that 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 into the expression and perform the arithmetic operations according to the order of operations.

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.

Front

How do you simplify the expression 5m + 9n when m = -7 and n = 4?

Back

Substituting the values gives 5(-7) + 9(4) = -35 + 36 = 1.

Front

What is the formula for evaluating a rational expression?

Back

To evaluate a rational expression, substitute the values for the variables and simplify the fraction if possible.

Front

How do you evaluate the expression (12xy)/(x - y) for x = 3 and y = -1?

Back

Substituting the values gives (12(3)(-1))/(3 - (-1)) = (-36)/(4) = -9.

Front

What is the significance of negative numbers in expressions?

Back

Negative numbers can affect the outcome of expressions, especially in multiplication and addition, where they can change the sign of the result.

Front

How do you evaluate the expression 10c - cd + d³ for c = -6 and d = 2?

Back

Substituting the values gives 10(-6) - (-6)(2) + (2)³ = -60 + 12 + 8 = -40.

Front

What is a polynomial expression?

Back

A polynomial expression is a mathematical expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

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

Back

Substituting the values gives 4² - (-2)² = 16 - 4 = 12.