The expressions that simplify into one single term are: b. 14 + 3y + 7 - 3y and c. 4x + 9 - 3x - x.
How to simplify an expression?
To find which of the expressions will simplify into one single term, let's simplify each of the options given as follows:
a. 5xy - 5x cannot be simplified further. It remains the same.
b. 14 + 3y + 7 - 3y
Combine like terms:
14 + 7 + 3y - 3y
21 + 0
= 21 [single term]
c. 4x + 9 - 3x - x
Combine like terms
4x - 3x - x + 9
0 + 9
= 9 [single term]
d. 8y - 6x + 2y - 6x
Combine like terms:
8y + 2y - 6x - 6x
10y - 12x [two terms]
Thus, the answer is options B and C.
Complete Question:
What expressions simplify into one single term
a. 5xy - 5x
b. 14 + 3y + 7 - 3y
c. 4x + 9 - 3x - x
d. 8y - 6x + 2y - 6x