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Which is a correct way of evaluating the expression 25x + 40x for x = 4?
25x + 40x = x(25 + 40)
= 4(25 + 40)
= 4 • 65
= 260
25x + 40x = 25(x + 40)
= 25(4 + 40)
= 25 • 44
= 1,100
25x + 40x = x²(25 + 40)
= 4²(25 + 40)
= 16 • 65
= 1,040
25x + 40x = 254 + 404
= 658
To evaluate the expression (25x + 40x) for (x = 4), we first combine the like terms:
[
25x + 40x = (25 + 40)x = 65x
]
Now substituting (x = 4):
[
65x = 65 cdot 4 = 260
]
So the correct evaluation is:
25x + 40x = x(25 + 40) = 4(25 + 40) = 4 • 65 = 260
This method correctly combines the coefficients of (x), making it straightforward to evaluate for (x = 4). Great work identifying the right approach! If you need further assistance, feel free to check the extended services page.