Evaluating Expressions

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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

The value of 2^4 is 16.

To simplify 24 ÷ 3, divide 24 by 3, which equals 8.

The result is 16 - 8 + 1 = 9.

To substitute a value into an algebraic expression, replace the variable with the given value and then simplify the expression.

Substituting -2 for x gives 3(-2) + 4 = -6 + 4 = -2.

When y = 3, 4y = 4(3) = 12.

If p = -6, then p + 4 = -6 + 4 = -2.

Substituting gives 3(3) + 2(2) = 9 + 4 = 13.