Question

Which algebraic expression represents this word description? The product of seven and the difference between a number and ten:

a) 7(x-10)
b) 10-7x
c) 7x-10
d) 7(10-x)

Answer 1

The correct algebraic expression corresponding to 'The product of seven and the difference between a number and ten' is 7(x-10), which is option a.

Step-by-step explanation:

The algebraic expression that represents the word description 'The product of seven and the difference between a number and ten' is written as 7(x-10). To create this expression, we first identify 'the difference between a number and ten' as (x-10), assuming 'x' represents the number. Then, we multiply this difference by seven, which is expressed as the product, or 7 times (x-10). Therefore, the correct answer is option a) 7(x-10).