Question

Evaluate the expression when $x=3,y=4,\text{\hspace{0.17em}and}z=5$

localid="1648720560470" $x+2[z-(y-1)]$

Short answer

The value of expression is7.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Substitute the values

To evaluate the expression $x+2[z-(y-1)]$, substitute 3 for x, 4 for y, and 5 for z in the given expression, and simplify further using the order of operations as shown below,

$\begin{array}{c}x+2[z-(y-1)]=3+2[5-(4-1)]\\ =3+2[5-\left(3\right)]\\ =3+2\left[2\right]\\ =3+4\end{array}$

Step-3 – Add the numbers

To simplify further, add the resulting numbers to get

$\begin{array}{c}x+2[z-(y-1)]=3+4\\ =7\end{array}$

So, the value of the expression is 7.