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Chapter 1: Q 128. (page 39)

In the following exercises, translate to an algebraic expression and simplify if possible.

The sum of -8and -9, increased by 23.

Short Answer

Expert verified

The given statement can be translated as-8+-9+23and the simplified value is 6.

Step by step solution

01

Step 1. Concept Used. 

The phrase "The sum of aand b" and "a increased by b" indicates the operation of addition and rewritten as a+b.

02

Step 2. Write the given statement using mathematical notations. 

The sum of -8and -9can be written as

-8+-9

Then, it is given that the sum of -8and -9, that is, -8+-9, is increased by 23. Write it as a mathematical expression.

-8+-9+23

03

Step 3. Simplify.

Start with the grouping symbol. Add -8and -9inside the brackets.

-8+-9+23=-17+23

04

Step 4. Perform Addition.

Add -17and 23.

-17+23=6

05

Step 5. Conclusion.

The given statement can be translated as-8+-9+23and the simplified value is 6.

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