Q66. - Algebra 1

Question

Evaluate each expression. (Lesson 1 - 2)

$4^2\cdot 3-5(6+3)$

Step-by-Step Solution

Answer

The value of this expression is 3.

Step 1. Use the order of operations.

The order of operations is the sequence of steps with which we solve any given algebraic expression, order is as follows:

Step 1: Evaluate the expressions inside grouping symbols.

Step 2: Evaluate all powers.

Step 3: Multiply and/or divide in order from left to right.

Step 4: Add and/or subtract in order from left to right.

Step 2. Solve the expression.

We are given that the expression $4^2\cdot 3-5\left(6+3\right)$

First, we open the brackets and then solve the indexes as shown:

 $\begin{array}{l}{4}^2\cdot 3-5\left(6+3\right)\\ =16\cdot 3-5\cdot 9\end{array}$

Step 3. Simplify the expression.

Next, we perform multiplication:

 $\begin{array}{l}16\cdot 3-5\cdot 9\\ =48-45\end{array}$

Lastly, we perform subtraction

 $\begin{array}{l}48-45\\ =3\end{array}$

Thus, the answer is 13.