Question

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

Answer 1

Which expression is equivalent to -

-1/5(10x + 1/5) - 2?
Responses
A -2x – 1
B -2x – 4
C -2x – 3
D -2x – 5

Answer 2

The correct expression that is equivalent to 1/4x − 36 is A) 1/4 (x + 144).

Answer 3

To simplify the expression -1/5(10x + 1/5) - 2, we can start by distributing the -1/5 to both terms inside the parentheses:

-1/5(10x) - 1/5(-1/5) - 2

This simplifies to:

-2x - 1/25 - 2

Next, we can simplify -1/25 - 2 by finding a common denominator:

-2x - (1/25)(25/25) - (2)(25/25)

This simplifies to:

-2x - 25/25 - 50/25

The fraction -25/25 is equal to -1, and -50/25 is equal to -2, so the expression simplifies further to:

-2x - 1 - 2

Finally, we can combine like terms:

-2x - 3

Therefore, the expression -1/5(10x + 1/5) - 2 is equivalent to C) -2x - 3.