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Common Core Standard HSA-REI.A.1 Questions

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

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Grade 9 Linear Equations CCSS: HSA-REI.A.1
Simplify as much as possible $3x-5=15-2x$
1. $x=4$
2. $x=1$
3. $x=2$
4. $x=5$
Simplify as much as possible $x+2x^2-3=-5x+x^2-12$
1. $x=0$
2. $x=-3$
3. $x^2=-9$
4. $x=6$
$x+2x^2-3=4x+x^2+2$ is equivalent to
1. $3x^2-x+5=0$
2. $x^2-3x=5$
3. $x^2-5=-3x$
4. $x^2-5=3x$
$1/2x-x^2=4-2x$ is equivalent to
1. $2 1/2x-4=x^2$
2. $x^2=4x-5/2$
3. $x^2-4=2 1/2x$
4. $x^2=2 1/2x+4$
Simplify as much as possible $2x-x^2=4-2x-x^2$
1. $x=1/2$
2. $x=2$
3. $x=1$
4. $x^2=2$