Question

Which expressions are equivalent to z ⋅ 3 1/3

select all that apply!!!!!!!!!!!!!!

3z+1/3
6z−2/3z−3z+z
z ⋅ 4−2/3
z(4−2/3)
z(1/3+3)

Answer 1

Options 2), 4 , and 5 are CORRECT

Explanation:

Notice that z * 3 1/3 = z * (3 + 1/3) = z * (9/3 + 1/3) = z * 10/3 = 10/3 z

1) The first option is not good'

2) 6 z - 2/3 z - 3 z + z = 4 z - 2/3 z = 12/3 z - 2/3 z = 10/3 z So this option is CORRECT

3) z * 4 - 2/3 is not good since 2/3 is not multiplied by z

4) z ( 4 - 2/3) = z (12/3 - 2/3) = z * 10/3 so this one is CORRECT

5) z (1 / 3 + 3) = z ( 1/3 + 9/3 ) = z (10/3) So this one is also CORRECT