Question

Tell whether each statement is True or False.

a. 2(3 - 4y) = 6 - 4y
b. 3 + 5/9 + 2n) = 48 + 5n
c. 9 - 3ly - 2) = 3 - 3y
d. 3(6x - 2) - 7 = 18x - 13

Answer 1

a. FALSE

b. FALSE

c. FALSE

d. TRUE

Explanation:

Statement a.

2 (3 - 4 y) = 6 - 4 y

use distributive property on the left:

6 - 8 y which is NOT 6 - 4 y then, FALSE statement

Statement b.

3 + 5 (9 + 2 n) = 48 + 5 n

apply distributive property on the left:

3 + 45 + 10 n = 48 + 10 n which is NOT 48 + 5 n then , FALSE statement

Statement c.

9 - 3 (y - 2) = 3 - 3 y

apply distributive property on the left:

9 - 3 y + 6 = 15 - 3 y which is NOT 3 - 3 y then, FALSE statement

Statement d.

3 (6 x - 2) - 7 = 18 x - 13

apply distributive property on the left:

18 x - 6 - 7 = 18 x - 13 which IS the same as 18 x - 13 then , TRUE statement