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QUESTION 26

Write an algebraic expression for the statement given below. Let [tex]\( x \)[/tex] represent the unknown quantity.

Six times the sum of 11 and a number.

[tex]\( 6(11 + x) \)[/tex]

Sagot :

GinnyAnsweridn
Sure, let's break down the statement to create an algebraic expression:

1. We need to identify the components of the statement:
- "A number" is represented by the variable [tex]\( x \)[/tex].
- The sum of 11 and this number ([tex]\( x \)[/tex]) is expressed as [tex]\( (11 + x) \)[/tex].

2. Next, we need to consider the phrase "six times":
- Multiplying an expression by 6 is represented by placing the number 6 in front of the entire sum.

3. Combine these components:
- We need to multiply the sum [tex]\( (11 + x) \)[/tex] by 6.

So, the algebraic expression for "six times the sum of 11 and a number" is:

[tex]\[ 6 \cdot (11 + x) \][/tex]

Or more simply written as:

[tex]\[ 6(11 + x) \][/tex]
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