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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 9
Standards: HSA-REI.A.1
Author: nsharp1
Last Modified: 21 days ago

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Polynomials and Rational Expressions Question

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

Is the solution to the equation correct? If not, identify which step contains an error and why this step is incorrect.

[math] 3x - 2 = 10 - x[/math]

Step 1:[math] 3x-2+x [/math][math]= \ \ 10-x+x[/math]
Step 2:[math]4x-2[/math][math]= \ \ 10 [/math]
Step 3:[math] 4x-2+2 [/math][math]= \ \ 10+2 [/math]
Step 4:[math]4x[/math][math]= \ \ 12 [/math]
Step 5:[math](4x)/4[/math][math]= \ \ 12 [/math]
Step 6:[math]x[/math][math]= \ \ 12 [/math]
  1. It is correct.
  2. Step 1 is incorrect because you have to start with getting rid of the -2.
  3. Step 1 is incorrect because you should divide by 3 on both sides.
  4. Step 5 is incorrect because you have to divide by 4 on both sides.
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