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

The quotient of -6and the sum of aand b.

Short Answer

Expert verified

The given statement can be translated as-6a+b.

Step by step solution

01

Step 1. Given Information.

The given statement is "the quotient of -6and the sum of aand b".

02

Step 2. Concept Used.

The phrase "the sum of xand y" indicates the operation of addition is written as x+y.

The phrase "the quotient of xand y" indicates the division operation and is written as x÷yor xy.

03

Step 3. Write the given statement using mathematical notations.  

Write the sum of aand busing the mathematical notation.

a+b

To write the quotient of -6and the sum of aand b, divide -6by the sum of aand b.

-6÷a+b=-6a+b

04

Step 4. Conclusion.

The given statement can be translated as-6a+b.

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