Chapter 1: Q27. (page 18)

Evaluate the expression when $x = 3, y = 4, and z = 5$
localid="1648720626886" $y + {(z - 1)}^{2}$

Short Answer

Expert verified

The value of expression is20.

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 $y + {(z - 1)}^{2}$ , substitute 4 for y and 5 for z in the given expression, and simplify further using the order of operations as shown below,

$\begin{matrix} y + {(z - 1)}^{2} = 4 + {(5 - 1)}^{2} \\ = 4 + {(4)}^{2} \\ = 4 + 16 \end{matrix}$

Step-3 – Add the numbers

To simplify further, add the resulting numbers to get

$\begin{matrix} y + {(z - 1)}^{2} = 4 + {(5 - 1)}^{2} \\ = 4 + {(4)}^{2} \\ = 4 + 16 \\ = 20 \end{matrix}$

So, the value of the expression is 20.

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Evaluate the expression when $x = 3, y = 4, and z = 5$
localid="1648720626886" $y + {(z - 1)}^{2}$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Substitute the values

Step-3 – Add the numbers

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Evaluate the expression when x=3, y=4, andz=5localid="1648720626886" y+(z−1)2

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Substitute the values

Step-3 – Add the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Statistics

Logic and Functions

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression when $x = 3, y = 4, and z = 5$
localid="1648720626886" $y + {(z - 1)}^{2}$