Question

1. which expression is equivalent to 9y + 2(1 - 5y)? a 4y + 2 b 19y + 2 c y + 2 d -y + 2

Explanation:

Step1: Distribute the 2

Using the distributive property \(a(b + c)=ab+ac\), we distribute the 2 in \(2(1 - 5y)\):
\(2\times1 - 2\times5y = 2 - 10y\)
So the original expression \(9y + 2(1 - 5y)\) becomes \(9y+2 - 10y\).

Step2: Combine like terms

Combine the \(y\)-terms \(9y\) and \(- 10y\):
\(9y-10y=(9 - 10)y=-y\)
So the simplified expression is \(-y + 2\).

Answer:

D. \(-y + 2\)