Middle School

Which algebraic expression is equivalent to the expression below?

15(9 + 5x) + 16

A. 75x - 151
B. 75x + 151
C. 75x + 119
D. 5x + 151

Answer :

so first distibute using distributive porperty

distributive property=
a(b+c)=ab+ac

so 15(9+5x)=135+75x

135+75x+16
group like terms
75x+151

the answer is the second option
Simplify:
15 (5x+9)+16

15 (5x+9) = 75x+135:
75x+135+16


75x+(135+16) = 75x + 151
Answer = 75x + 151

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