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# Common Core Standard HSA-REI.A.2 Questions

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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Grade 9 Linear Equations CCSS: HSA-REI.A.2
Solve for all possible values of $x$: $sqrt(x^2+4x-16)=4$
1. No Solution
2. $-8, 4$
3. All real numbers
4. $-4, 16$
Grade 9 Linear Equations CCSS: HSA-REI.A.2
Grade 9 Linear Equations CCSS: HSA-REI.A.2
Grade 9 Linear Equations CCSS: HSA-REI.A.2
Solve for all possible values of $x$: $(sqrt(x+3))/9=sqrt(x+1)$
1. $3, 9$
2. $-39/40$
3. $78/80$
4. $3$
Solve for all possible values of $x$: $x/sqrtx=sqrtx$
2. $x>=sqrtx$
3. $x>=0$
Solve for all possible values of $x$: $sqrt(x+2)=sqrt(x)+2$
2. $(7+-sqrt66)/4$
4. $(-7+-sqrt33)/4$