Gateway Quiz Section04FractionsTest

$\displaystyle{{w+1\over2}\over w+1} =$
A. $2$
B. $3w+3\over 2$
C. $(w+1)^2\over 2$
D. $1\over 2$
E. ${w(w+1)\over 2}+1$

${x-2\over x+2}+{x+2\over x-2} =$
A. $(x-2)^2+(x+2)^2\over(x+2)^2(x-2)^2$
B. $(x-2)^2\over(x+2)^2$
C. $2x\over x^2-4$
D. $1$
E. $2(x^2+4)\over x^2-4$

${\left(4-(x+h)^2\right)-\left(4-x^2\right)\over h} =$
A. $-2x^2+h^2\over h$
B. $-2x-h$
C. $-h$
D. $2x+h$
E. $-1$

$u+a+{u\over u+a} =$
A. $u^2+a^2+u\over u+a$
B. $1+u\over u+a$
C. $2u+a\over u+a$
D. $2u+a$
E. $u^2+(2a+1)u+a^2\over u+a$

$x^{-2}+{y^{-2}\over x^2} =$
A. $2\over x^2y^2$
B. $x^2+y^2\over x^2 y^2$
C. $1+y^2\over x^2y^2$
D. $x^2+1\over y^2$
E. $x^4+y^2\over x^2 y^2$

${(x+h)^2-x^2\over h} =$
A. $2x+h^2$
B. $1\over h$
C. $2x+h$
D. $h$
E. $-x^4-x^2$

The expression $-{2x^2-1\over 4-2x^2}$ can be written as $1 + {(\; )\over(\; )}$. What is the $(\; )\over(\; )$ term?

${r-e^r\over e^{2r}} =$
A. ${1 - e\over e^2}$
B. $e^{-3r} - e^{-r}$
C. ${1\over e^2} - {1\over 2}$
D. ${r\over e^{2r}} - {1\over e^{r}}$
E. none of the above is correct.

${1\over\sqrt y}-{\sqrt y\over2} =$
A. $1\over\sqrt y$
B. $2-y\over 2\sqrt y$
C. $1-\sqrt y\over \sqrt y - 2$
D. $2-\sqrt y\over \sqrt y$
E. $1-\sqrt y\over 2\sqrt y$

${1\over x+1}-{1\over (x+1)^2} =$
A. $0$
B. $-{1\over x^2+x+1}$
C. $x\over(x+1)^3$
D. $-{1\over x(x+1)}$
E. $x\over (x+1)^2$