Q11. Evaluate the expression 2a+b2梅3... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q11. (page 12)

Evaluate the expression $2 a + (b^{2} 梅 3)$ if $a = 4, 鈥夆赌� b = 12$ .

Short Answer

Expert verified

The value of the expression $2 a + (b^{2} 梅 3)$ is 20.

Step by step solution

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression $5 b + (2 a^{2} 梅 3)$ where $a = 3, 鈥夆赌� b = 4$ can be written as

$\begin{array}{l} 5 b + (2 a^{2} 梅 3) = 5 (4) + ({2.3}^{2} 梅 3) \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� = (5 脳 4) 鈭� ((2 脳 9) 梅 3)) \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 20 鈭� (18 梅 3) \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 14 鈭� 6 \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 8 \end{array}$

Step 3. DESCRIPTION OF STEP.

Substituting $a = 4 and b = 12$ in $8 b 鈭� a$

$2 a + (b^{2} 梅 3) = 2 (4) + ({(6)}^{2} 梅 3)$

First, solve the expression $({(6)}^{2} 梅 3)$

$\begin{array}{l} ({(6)}^{2} 梅 3) \\ = (36 梅 3) (鈭� {(6)}^{2} = 36) \\ = 12 鈥夆赌夆€� (Divideby3) \end{array}$

Hence, $({(6)}^{2} 梅 3) = 12$

Now,

$\begin{array}{l} 2 (4) + ({(6)}^{2} 梅 3) \\ = 8 + 12 \\ = 20 \end{array}$

Therefore, $2 a + (b^{2} 梅 3) = 20, if a = 4 and b = 6$

Hence, $2 a + (b^{2} 梅 3) = 20$ if $a = 4 and b = 12$ .

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Evaluate the expression $2 a + (b^{2} 梅 3)$ if $a = 4, 鈥夆赌� b = 12$ .

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Mechanics Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

Evaluate the expression 2a+b2梅3if a=4,鈥夆赌�b=12.

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Mechanics Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate the expression $2 a + (b^{2} 梅 3)$ if $a = 4, 鈥夆赌� b = 12$ .