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Chapter 1: Q 127. (page 39)

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

The sum of 3 and -15, increased by 7.

Short Answer

Expert verified

The given statement can be translated as 3+-15+7and the simplified value is -5.

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 3 and -15be written as

3+-15

Then, it is given that the sum of 3 and -15, that is, 3+-15is increased by 7. Write it as a mathematical expression.

3+-15+7

03

Step 3. Simplify. 

Start with the grouping symbol. Rewrite 3+-15by using the subtraction property a+-b=a-b.a+-b=a-b.

Subtract 15 from 3 inside the brackets.

3+-15+7=3-15+7=-12+7

04

Step 4. Perform Addition. 

Add -12and 7 in the obtained expression.

-12+7=-5

05

Step 5. Conclusion. 

The given statement can be translated as 3+-15+7and the simplified value is -5.

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