SAT Mathematics Practice Test 5

Question : 19 of 58

Marks: +1, -0

${2x+6}/(x+2)^2-2/{x+2}$
The expression above is equivalent to

a/(x+2)^2

where a is a positive constant and

x≠−2.

What is the value of

a

Solution:

The given expression can be rewritten as

{2x+6}/(x+2)^2-{2x+4}/(x+2)^2

, which is equivalent to

{2x+6-2x-4}/(x+2)^2

, or

2/(x+2)^2

. This is in the form

a/(x+2)^2

; therefore,

a=2.

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