Which expression is equivalent to 1/4x − 36? A- 1/4(x+144)
B- 1/4(x-144)
C- 1/4(x-9)
D- 4x-9
To find the equivalent expression, we can distribute the 1/4 to each term inside the parentheses, then simplify.
Distributing:
1/4(x) - 1/4(36)
Simplifying:
(1/4)x - 9
Therefore, the equivalent expression is C- 1/4(x-9).
To find the equivalent expression, we can distribute the 1/4 to each term within the parenthesis:
1/4 * x = (1/4) * x = x/4
1/4 * (-36) = (1/4) * (-36) = -9
Therefore, the equivalent expression is x/4 - 9.
Among the given options, the expression x/4 - 9 is equivalent to option C - 1/4(x-9).
To find the equivalent expression for 1/4x − 36, we need to manipulate the given expression and simplify it. Here's how you can do it:
The given expression is 1/4x − 36. To combine the two terms, we need to find a common denominator for the fraction.
The denominator of 1/4x is 4, so we can rewrite the expression as (1/4)x − 36.
Now, let's try to find a common denominator for the fraction part. The denominator is already 4, so we don't need to do anything.
To combine the two terms, we keep the denominator the same and subtract the numerators. (1/4)x − 36 becomes (1/4)x − (4/4) * 36.
Simplifying further, we get (1/4)x − (4/4) * 36 = (1/4)x − 144/4.
Now, we can see that the expression (1/4)x − 144/4 is equivalent to 1/4x − 36.
From the answer choices provided, we can see that option A- 1/4(x+144) is equivalent to (1/4)x + 36. Hence, it is not the correct answer.
Option B- 1/4(x-144) is equivalent to (1/4)x - 36. Hence, it is not the correct answer.
Option C- 1/4(x-9) is not equivalent to (1/4)x - 36, so it is also incorrect.
Option D- 4x-9 is completely different from the original expression, so it is not the correct answer.
Therefore, the correct answer is A- 1/4(x+144).