Q23. - Algebra 1

Question

Evaluate each expression.

$29-3\left(9-4\right)$

Step-by-Step Solution

Answer

The value of the expression $\mathbf{29}\mathbf{-}\mathbf{3}\left(9-4\right)$ is 14.

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate the expression inside the bracket.

$29-3\left(9-4\right)=29-3\cdot 5$

Step 3. Multiply 3 by 5.

As per the order of operations, now multiply 3 by 5.

$\begin{array}{l}29-3\left(9-4\right)=29-3\cdot 5\\ =29-15\end{array}$

Step 4. Apply subtraction operation.

Subtract 15 from 29.

$\begin{array}{c}29-3\left(9-4\right)=29-3\cdot 5\\ =29-15\\ =14\end{array}$

Therefore, the expression is equal to 14.