Chapter 1: Q11. (page 8)

Evaluate each expression if $x = 4, y = - 2,$ and $z = 6$
$x + {(y - 1)}^{3}$

Short Answer

Expert verified

Expression $x + {(y - 1)}^{3}$ results into $- 23$ .

Step by step solution

- Order of simplification

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.

- Substitute given values

Simplify parentheses by subtracting 1 from $y$ .

Simplify power and then add resultant with $x$ .

Substitute 4 for $x$ and $- 2$ for $y$ into given expression

$x + {(y - 1)}^{3} = 4 + {(- 2 - 1)}^{3}$

- Simplify 4+-2-13

Follow order of simplification

$- 2 - 1 = - 3$

Then

$\begin{matrix} {(- 2 - 1)}^{3} = {(- 3)}^{3} \\ = - 27 \end{matrix}$

Finally

$4 + (- 27) = - 23$

Thus, $x + {(y - 1)}^{3} = - 23$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate each expression if $x = 4, y = - 2,$ and $z = 6$
$x + {(y - 1)}^{3}$

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 4+-2-13

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Applied Mathematics

Discrete Mathematics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if x=4,y=−2,and z=6x+y-13

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 4+-2-13

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Applied Mathematics

Discrete Mathematics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $x = 4, y = - 2,$ and $z = 6$
$x + {(y - 1)}^{3}$