##### Notes

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

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# Radical and Rational Equations (Grades 11-12)

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## Radical and Rational Equations

1.
Solve for all possible values of $x$: $(6x-12)/(x-2)=6-x$
1. 0
2. 2, 12
3. 2, 0
4. No Solution
2.
Solve for all possible values of $x$: $sqrt(x^2-3x+2)=sqrt(42)$
1. -3, 2
2. No Solution
3. 8, -5
4. -5, 8
3.
Solve for all possible values of $x$: $sqrt(x+2)=sqrt(x)+2$
1. No Solution
2. $(7+-sqrt66)/4$
3. All real numbers
4. $(-7+-sqrt33)/4$
4.
Solve for all possible values of $x$: $x/sqrtx=sqrtx$
1. All real numbers
2. $x>=sqrtx$
3. $x>0$
4. No Solution
5.
Solve for all possible values of $x$: $(sqrt(x+1))/(x+1)=sqrtx+1$
1. 0
2. 0, 1
3. All real numbers
4. 1
6.
Solve for all possible values of $x$: $(sqrt(x+3))/9=sqrt(x+1)$
1. $3, 9$
2. $-39/40$
3. $78/80$
4. $3$
7.
Solve for all possible values of $x$: $sqrt(x+4)=4sqrt(4+x)$
1. All real numbers
2. 4
3. -4
4. No Solution
8.
Solve for all possible values of $x$: $(sqrt(x+6))/(sqrt(x-2))=(sqrt(4+x))/(sqrt(x-3))$
1. 4, 2
2. $-4/3$
3. $3/4$
4. 10
9.
Solve for all possible values of $x$: $sqrt(x^2+4x-16)=4$
1. No Solution
2. $-8, 4$
3. All real numbers
4. $-4, 16$
10.
Solve for all possible values of $x$: $(3x+6)/(x+2) = x/3$
1. No Solution
2. -2, 9
3. -2, 3
4. 9
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