Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

Step-by-step explanation:

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

Mathematically this is expressed as:

4(x + 3) + 2x = 6(x + 2)

Verifying the options

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

When x = 3

4(x + 3) + 2x = 6(x + 2)

4(3 + 3) + 2(3)= 6(3 + 2)

24 + 6 = 6(5)

30 = 30

When x = 5

4(x + 3) + 2x = 6(x + 2)

4(5 + 3) + 2(5)= 6(5 + 2)

4(8) + 10 = 6(7)

42 = 42

Statement in option a is correct

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

When x = 1

4(1 + 3) + 2x = 6(x + 2)

4(1 + 3) + 2(1)= 6(1 + 2)

4(4) + 2 = 6(3)

18 = 18

When x = 8

4(8 + 3) + 2x = 6(8 + 2)

4(11) + 2(8)= 6(8 + 2)

44 + 16 = 6(10)

60 = 60

Statement in option b is correct

c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

When x = 2

4(x + 3) + 2x = 6(x + 2)

4( 2 + 3) + 2(2)= 6(2 + 2)

4(5)+ 4 = 6(4)

20 + 4 = 6(4)

24 = 24

4(x + 3) + 2x = 6(x + 2)

4(6 + 3) + 2(6)= 6(6 + 2)

4(9) + 12 = 6(8)

48 = 48

Statement in Option c is wrong

Hence, Statement in Option a and b is correct