Consider the following procedure:

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Pick a number $\\rightarrow$ add $\\var{add1}$ $\\rightarrow$ multiply by $\\var{mult1}$ $\\rightarrow$ subtract $\\var{sub1}$

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If I start with the number $\\var{x[1]}$, what number do I end with? [[0]]

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If I end with the number $\\var{fx[2]}$, what number(s) could I start with? [[1]]

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If I end with the number $\\var{fx[3]}$, what number(s) could I start with? [[2]]

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If I start with the number $a$, what do I end with? [[3]]

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Consider the following procedure:

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Pick a number $\\rightarrow$ add $\\var{add2}$ $\\rightarrow$ square $\\rightarrow$ subtract $\\var{sub2}$

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If I start with the number $\\var{ymax[0]}$, what number do I end with? [[0]]

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If I start with the number $\\var{ymin[0]}$, what number do I end with? [[1]]

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If I end with the number $\\var{gy[3]}$, what number(s) could I start with?

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[[2]]

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If I end with the number $\\var{gy[2]}$, what number(s) could I start with?

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[[3]]

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If I start with the number $p$, what do I end with? [[4]]

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Solve the equation $(d+\\var{add2})^2 - \\var{sub2} = \\var{gy[0]}$.

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[[5]]

"}], "ungrouped_variables": [], "extensions": ["jsxgraph"], "metadata": {"description": "

Simple procedures are given and student is asked to carry them out or un-do them.

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Version 1: bi and bii have the same answer. biii and biv both have two answers.

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Version 4: bi and bii have the same answer. biii has one answer, biv has two answers.