Question

Can anyone please help me!? Help!

Subject: Expanding and Simplifying Expressions


7th-grade Mathematics!


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Question #1: Write an expression that is equivalent to 2/3 (4x + 9).


A) 8/3x + 6


B) 8/3x + 9


C) 2/3x + 6


D) 2/3x + 9


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Question #2: Which expression is equivalent to 1/3p + 15?


A) 1/3(p + 45)


B) 1/3(p + 5)


C) 3(p + 45)


D) 3(p + 5)

Answer 1

`\large\boxed{Q\#1.\ A)\ (8)/(3)x+6}\\\boxed{Q\#2.\ A)\ (1)/(3)(p+45)}`

Explanation:

`Q\#1:\\\\(2)/(3)(4x+9)\qquad\text{use the distributive property}\\\\=\left((2)/(3)\right)(4x)+\left((2)/(3)\right)(9)=(8)/(3)x+(2)(3)=(8)/(3)x+6\\\\Q\#2:\\\\(1)/(3)p+15=(1)/(3)p+(1)/(3)\cdot(3)(15)=(1)/(3)p+(1)/(3)\cdot45=(1)/(3)(p+45)`