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This printable supports Common Core Mathematics Standard HSA-REI.A.2

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Solving Rational Equations, Practice #2 (Grades 11-12)

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Solving Rational Equations, Practice #2

1.
Solve for x.
$(x-17)/(x)=108$
1. x = 17/107
2. x = -19/267
3. x = -17/107
4. x = -23/84
2.
Solve for $m$. $(2m)/(m+3) = 4$
1. $m=2$
2. $m = -6$
3. $m=3$
4. $m = 3/7$
3.
If $(x-1)/x = 4$, then $x =$
1. $3$
2. $-3$
3. $-1/6$
4. $-1/3$
4.
Solve for $x$.
$(2x-3)/(x-5)=3$
1. $12$
2. $21/7$
3. $2$
4. $2/3$
5.
Solve for $y$.
$(20y-12)/(4y)=4$
1. $3$
2. $5$
3. $2$
4. $-1$
6.
Find the value of $y$ in $1/(4y) - 1/(3y)=3/16$ .
1. $4/9$
2. $9/4$
3. $-9/4$
4. $-4/9$
7.
Solve for all possible values of $x$. $(6x-12)/(x-2)=6-x$
1. 0
2. 2, 12
3. 2, 0
4. No Solution
8.
Solve for all possible values of $x$.
$(3x+6)/(x+2) = x/3$
1. No Solution
2. -2, 9
3. -2, 3
4. 9
9.
Solve the equation $5/(2x-3)=3/(x+5)$.
1. $x=16$
2. $x=4$
3. $x=19$
4. $x=34$
10.
Solve. Check for extraneous solutions.

$x/(x-1)=(x+3)/(-2x+2)$
1. $x=-1 or x=-2$
2. $x=-1$
3. $x=1$
4. $x=1 or x=-1$
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