Which expression in equivalent to 2/3 (4x - 9)?
(8x/3) - (18/3)
To find an expression equivalent to 2/3 (4x - 9), you can distribute the 2/3 to both terms inside the parentheses.
First, multiply 2/3 by 4x:
(2/3) * 4x = (8/3)x
Then, multiply 2/3 by -9:
(2/3) * -9 = -6
Therefore, the expression equivalent to 2/3 (4x - 9) is (8/3)x - 6.
Could it be 8x - 18 / 3
No, the expression 8x - 18 / 3 is not equivalent to 2/3 (4x - 9). To correctly distribute the 2/3, you need to multiply it to both terms inside the parentheses.
So, distributing 2/3 to 4x: (2/3) * 4x = (8/3)x
And distributing 2/3 to -9: (2/3) * -9 = -18/3 = -6
Therefore, the correct expression equivalent to 2/3 (4x - 9) is (8/3)x - 6.
The options are 8x - 18 / 3, 8x - 9 / 3, 8/3(x + 18), 8/3(x - 12)
Apologies for the earlier incorrect response. The expression equivalent to 2/3 (4x - 9) is indeed 8x - 18 / 3.
To distribute the 2/3 to both terms inside the parentheses:
(2/3) * 4x = (8/3)x
(2/3) * -9 = -18/3 = -6
Combining these results, we have: 8x - 18 / 3.
3(4x + 3)
To find an expression equivalent to 3(4x + 3), you can distribute the 3 to both terms inside the parentheses.
First, multiply 3 by 4x:
3 * 4x = 12x
Then, multiply 3 by 3:
3 * 3 = 9
Therefore, the expression equivalent to 3(4x + 3) is 12x + 9.
Which expression is equivalent to 2(2x + 7)?
To find an expression equivalent to 2(2x + 7), you can distribute the 2 to both terms inside the parentheses.
First, multiply 2 by 2x:
2 * 2x = 4x
Then, multiply 2 by 7:
2 * 7 = 14
Therefore, the expression equivalent to 2(2x + 7) is 4x + 14.