Answer
1) 5 (x + 6) = 48
2) (x/2) = x - 8
3) 3x = x + 6
4) 15 - 3x = 20
5) 7x - 4 = x + 8
Step-by-step explanation
The question wants us to translate it from verbal expressions to mathematical expressions.
For all of the cases, let the unknown number be x.
1) five times the sum of a number and 6 is 48.
5 × (x + 6) = 48
5 (x + 6) = 48
2) one half of a number is 8 less than the number itself.
½ × x = x - 8
(x/2) = x - 8
3) the product of a number and 3 is the same as the sum of that number and six.
x × 3 = 6 + x
3x = x + 6
4) fifteen decreased by the quotation of a number and 3 is 20.
15 - (3 × x) = 20
15 - 3x = 20
5) four less than the product of a number and 7 is eight more than that number.
(x × 7) - 4 = x + 8
7x - 4 = x + 8
Hope this Helps!!!