Noah is having trouble solving two equations. In each case, he took steps that he thought were acceptable but ended up with statements that are clearly not true. Analyze Noah’s work on each equation and the moves he made. Were they acceptable moves? Why do you think he ended up with a false equation? Discuss your observations with your group and be prepared to share your conclusions. If you get stuck, consider solving each equation.

For the first one, Noah's actions were accecptable. For the second one, Noah made a mistake.

Step-by-step explanation:

In the second equation, Noah failed to get x on one side of the equal sign. In his third step, he should have subtracted  2x from both sides instead of 10. Correct answer below:

2(5 + x ) - 1 = 3x + 9            original equation

10 + 2x -1 = 3x + 9               apply the distributive property

10 - 1 = x + 9                        subtract 2x from both sides

9 = x + 9                              subtract 1 from 10

0 = x                                   subtract 9 from both sides

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b. 153 students do not participate in sports and seventy-five 12th graders were surveyed