Question

Which expression is equivalent to 1/2 x+ + (-7) -2 1/4 x -(-2)​

a) 1/4x−5
b) 1/4x−9
c) 3/4x−5
d) 3/4x−9

Answer 1

The expression 1/2 x + (-7) -2 1/4 x -(-2) can be simplified by combining like terms and subtracting the coefficients. The simplified expression is d) -7/4 x.

Step-by-step explanation:

The expression 1/2 x+ + (-7) -2 1/4 x -(-2) can be simplified by combining like terms and performing the necessary operations.

First, distribute the negative sign to each term within the parentheses, which gives: 1/2 x + (-7) -2 1/4 x + 2.

Then, combine the x terms together by subtracting the coefficients: (1/2 x - 2 1/4 x).

Simplify the coefficients by finding a common denominator, which is 4.

Multiply and divide each coefficient by the necessary factor to get 2/4 and 9/4.

The expression can then be simplified to: (2/4 x - 9/4 x).

Finally, subtract the coefficients: (2/4 - 9/4) x = -7/4 x. Therefore, the answer is d) -7/4 x.