Question

What is the answer to this algebra homework 3[2(8+1)-3*2]?

Answer 1

 

To simplify the expression follow the order of operations: (PEMDAS)

1. Evaluate the expressions inside Brackets/Parenthesis (P).
2. Evaluate Powers/Exponents (E).
3. Multiply and/or Divide in order from left to right (MD).
4. Add and/or Subtract in order from left to right (AS).

A simple technique for remembering the order pf operations is turned into phrase

“Please Excuse My Dear Aunty Sally”

First operation is multiplycation

Evaluate the expressions inside Brackets/Parenthesis

= 3[ (2(8 + 1) - 3 * 2 ]

= 3[ (2(9) -3 * 2 ]               (Add 8 and 1 : 8 + 1 = 9)

Next operation is multiplycation.

= 3(18 - 6)                          (2 * 9 = 18 and 3 * 2 = 6)

Next operation is subtraction.

= 3(12)                               (18 - 6 = 12)

Again next operation is multiplication.

= 36.                                   (3 * 12 = 36)