Answer:
The algebraic expression will be:
Explanation:
Given the statement in English words
''8 less than the product of 6 and a number is the same as 5 more than the number''.
Let us break down the statement into an algebraic expression
FIRST PART
Let 'n' be the number
- In Mathematics, product means multiply
so
The product of '6' and a number 'n' = 6n
∵Because 6 is a coefficient and n is a variable
now
8 less than the product of 6 and a number 'n' will be: 8-6n
2ND PART
5 more than the number 'n' means we need to add '5' into a number 'n'
i.e
5+n
COMBINE STATEMENT
Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:
8-6n = 5+n
Thus, the algebraic expression will be:
VERIFICATION:
Let us verify by finding the value of n
8-6n = 5+n
8-5 = 7n
7n = 3
n = 3/7
substituting n=3/7 in the equation
8-6n = 5+n
8 - 6(3/7) = 5+(3/7)
38/7 = 38/7
TRUE
Thus, the equation is true.