Question

for each expression, select all equivalent expressions from the list. (a) 4(9x - 2) (b) 11y + 4y+9y 36x - 2 36x - 8 13x - 2 49x - 42 11y + 13y 24 + y 24y 13y - 11y

Explanation:

Step1: Simplify 4(9x - 2)

Use the distributive property \(a(b - c)=ab - ac\), so \(4(9x - 2)=4\times9x-4\times2 = 36x - 8\) and \(4\times9x-4\times2\) is also equivalent.

Step2: Simplify 11y + 4y+9y

Combine like - terms. \(11y + 4y+9y=(11 + 4+9)y=24y\)

Answer:

(a) 36x - 8, 4·9x - 4·2
(b) 24y