Chapter 1: Q11. (page 17)

Evaluate the expression when $x = 4 and y = 2$
localid="1648624739300" $x^{2} - y$

Short Answer

Expert verified

The value of the expression is14.

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 – Evaluate the exponent

In order to evaluate the given expression, first substitute 4 for x and 2 for y and then expand the exponent as shown below

$\begin{array}{l} x^{2} - y \\ = 4^{2} - 2 \\ = 16 - 2 \end{array}$

Step-3 – Subtract the numbers

Now to simplify further, subtract the resulting numbers to get

$\begin{array}{l} 16 - 2 \\ = 14 \end{array}$

Thus, the value of the expression is 14.

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Evaluate the expression when $x = 4 and y = 2$
localid="1648624739300" $x^{2} - y$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the exponent

Step-3 – Subtract the numbers

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Evaluate the expression when x=4andy=2localid="1648624739300" x2−y

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the exponent

Step-3 – Subtract the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Evaluate the expression when $x = 4 and y = 2$
localid="1648624739300" $x^{2} - y$