Chapter 1: Q61. (page 36)

Evaluate the expression when $x = 6 and y = 12$ . (Lesson 1.3)
localid="1649147588022" $7 x - (y + 1)$

Short Answer

Expert verified

The value of the expression is29.

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 expression inside grouping symbol

To evaluate the expression $7 x - (y + 1)$ , substitute 6 for x and 12 for y in the given expression and simplify the expression inside the parenthesis as follows

$\begin{matrix} 7 x - (y + 1) = 7 \cdot 6 - (12 + 1) \\ = 7 \cdot 6 - (13) \\ = 7 \cdot 6 - 13 \end{matrix}$

Step-3 – Multiply from left to right

Now to simplify further, multiply the first two numbers to get

$\begin{matrix} 7 x - (y + 1) = 7 \cdot 6 - 13 \\ = 42 - 13 \end{matrix}$

Step-4 – Subtract the numbers

Now to simplify further, subtract the numbers to get

$\begin{matrix} 7 x - (y + 1) = 42 - 13 \\ = 29 \end{matrix}$

Thus, the value of the expression is 29.

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 the expression when $x = 6 and y = 12$ . (Lesson 1.3)
localid="1649147588022" $7 x - (y + 1)$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate expression inside grouping symbol

Step-3 – Multiply from left to right

Step-4 – Subtract the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Logic and Functions

Discrete Mathematics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression when x=6andy=12. (Lesson 1.3)localid="1649147588022" 7x-y+1

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate expression inside grouping symbol

Step-3 – Multiply from left to right

Step-4 – Subtract the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Logic and Functions

Discrete Mathematics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression when $x = 6 and y = 12$ . (Lesson 1.3)
localid="1649147588022" $7 x - (y + 1)$