Question

Evaluate the following algebraic expressions using the given values below. Observe GEMDAS Rule.

a = 1 b = 2 c = 3 x = -3 y = -2 z = -1

2a + b + c = __________

Answer 1

The expression 12a + b + c evaluates to 17 when substituting a = 1, b = 2, and c = 3, following the correct order of operations without the need for considering exponents or grouping symbols.

Step-by-step explanation:

To evaluate the algebraic expression 12a + b + c, we need to follow the GEMDAS rule, which stands for Grouping symbols, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Since the expression only involves addition, we simply substitute the values and add them together. Given the values a = 1, b = 2, and c = 3, we substitute these into the expression.

So, 12a + b + c becomes 12(1) + 2 + 3. Performing the multiplication first, we get 12 + 2 + 3, and then we add the numbers together to get the final result: 12 + 2 + 3 = 17. Therefore, the value of the expression 12a + b + c when a = 1, b = 2, and c = 3 is 17.