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Eight decreased by three times the sum of a number and six

Write as an algebraic expression

2 Answers

4 votes

Final answer:

The algebraic expression for 'eight decreased by three times the sum of a number and six' is written as 8 - 3(x + 6).

Step-by-step explanation:

The algebraic expression for 'eight decreased by three times the sum of a number and six' would be represented by:
8 - 3(x + 6).

To break this down: 'eight decreased' points to the number 8 starting the expression. The word 'by' signals subtraction. 'Three times' suggests multiplication by 3. 'The sum of a number and six' would be translated as (x + 6), where x is the variable representing the number in question. Therefore, we have three times the sum which is 3(x + 6), and eight decreased by this quantity, giving us the complete expression 8 - 3(x + 6).

User Ampawd
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4.2k points
3 votes
8-3(x+6)

explanation:

it just makes sense lol but also bc “8 decreased by three” means “8 minus 3”

then “times” means “multiply”

then “a sum” means “addition”

then “a number” since we don’t know what a number is then we use “x”

“and” means “addition”

“a number and six” means “x+6”
User Mladen Mihajlovic
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4.7k points