Question

Write an expression to match each phrase.

1. four times a number, decreased by six
2. the product of two and a number, divided by five
3. seven less than a number
4. the quotient of four and e
5. six times the sum of nine and a number
6. the difference of thirteen and six, multiplied by a number
7. the sum of ten timmes a number and 12
8. the quotient of 20 and x, increased by seven
9. the difference of 16 and a number, divided by 2
10. 8 fewer than the sum of 14 and a number
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Answer 1

Expressions matching phrases include 4n - 6, (2n) / 5, and 10n + 12 for examples like 'four times a number, decreased by six' and 'the product of two and a number, divided by five'. Each expression corresponds to the verbal description using variables and arithmetic operations.

Step-by-step explanation:

Writing expressions to match each phrase involves understanding the relationship between words and mathematical symbols. Here is a list corresponding to each phrase provided:

1. Four times a number, decreased by six can be written as 4n - 6, where n represents the number.
2. The product of two and a number, divided by five can be written as (2n) / 5.
3. Seven less than a number can be written as n - 7.
4. The quotient of four and e can be written as 4 / e.
5. Six times the sum of nine and a number can be written as 6(9 + n).
6. The difference of thirteen and six, multiplied by a number can be written as (13 - 6)n or 7n.
7. The sum of ten times a number and 12 can be written as 10n + 12.
8. The quotient of 20 and x, increased by seven can be written as (20 / x) + 7.
9. The difference of 16 and a number, divided by 2 can be written as (16 - n) / 2.
10. Eight fewer than the sum of 14 and a number can be written as (14 + n) - 8.

It's important to apply proper mathematical rules to ensure the expressions correctly represent the phrases.