Evaluating Expressions

Front

What is the process of evaluating an expression?

Back

Evaluating an expression involves substituting the values of the variables into the expression and performing the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Front

What does PEMDAS stand for in the context of evaluating expressions?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to evaluate expressions.

Front

How do you evaluate an expression with multiple variables?

Back

To evaluate an expression with multiple variables, substitute each variable with its corresponding value and then perform the arithmetic operations.

Front

What is the value of the expression 6 + 7b - 3a when a = 2 and b = 8?

Back

The value is 56.

Front

How do you evaluate the expression r^3 + 2s^2 for r = -3 and s = 4?

Back

Substituting the values gives (-3)^3 + 2(4)^2 = -27 + 32 = 5.

Front

What is the result of the expression 9a - ab + 5b when a = 2 and b = 7?

Back

The result is 39.

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 the difference of squares?

Back

The difference of squares is given by a^2 - b^2 = (a - b)(a + b).

Front

Evaluate the expression a^2 - b^2 for a = 4 and b = -2.

Back

The evaluation gives 4^2 - (-2)^2 = 16 - 4 = 12.

Front

What is the significance of substituting values in algebraic expressions?

Back

Substituting values allows us to compute the numerical result of an expression, making it easier to understand and solve real-world problems.