Question

12 - (-9) + 2 ( 16 + 2 ^2) Evaluate each expression

Answer 1

Answer:To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations

Explanation:

Answer 2

It is required to evaluate the expression:

`12-(-9)+2(16+2^2)`

Recall that the order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

Hence, evaluate the expression in parentheses first:

`=12-(-9)+2(16+4)=12-(-9)+2(20)`

Since there are no exponents in the remaining expression, the next operation is multiplication, noting that the product of two negative signs is a positive sign:

`=12+9+40`

There is no division, so add the numbers:

`=61`

The answer is 61.