Chapter 1: Q. 413 (page 92)

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 4$ and $- 9,$ increases by $23 .$

Short Answer

Expert verified

The algebraic expression is $(- 4) + (- 9) + 23 .$

The simplified value is $10 .$

Step by step solution

Step 1. Given information

The given phrase is " the sum of $- 4$ and $- 9$ , increased by $23 .$

Step 2. Translate to an algebraic expression

The sum of $- 4$ and $- 9$ is $(- 4) + (- 9)$

increased by $23$ means,

add $23$ to the above expression.

Hence,

The algebraic expression is

$(- 4) + (- 9) + 23$

Step 3. Simplify

$(- 4) + (- 9) + 23 = - 4 - 9 + 23 = - 13 + 23 = 10$

The algebraic expression is simplified to $10 .$

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.

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 4$ and $- 9,$ increases by $23 .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate to an algebraic expression

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Logic and Functions

Probability and Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to an algebraic expression and simplify if possible.The sum of -4and -9,increases by 23.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate to an algebraic expression

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Logic and Functions

Probability and Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to an algebraic expression and simplify if possible.
The sum of $- 4$ and $- 9,$ increases by $23 .$