Junior Cycle Mathematics ALGEBRA - Equations from Words: Marcel has a number trick where

Question

Marcel has a number trick where he asks the audience to "think of a number." He calls this number $x$.

Marcel gives the audience the instructions in the table below and then "magically" tells them what answer they got.

Fill in the table to show the effect of each of the instructions.

| Instruction                             | Result of each instruction |
|-----------------------------------------|----------------------------|
| Think of a number.                     | $x$                        |
| Multiply the number by 3.              | $3x$                       |
| Add 2 to your answer.                  | $3x + 2$                   |
| Subtract your original number (i.e., $x$). | $3x + 2 - x = 2x + 2$    |
| Divide your answer by 2.               | $rac{2x + 2}{2} = x + 1$ |
| Subtract your original number.          | $(x + 1) - x = 1$         |

Marcel has a number trick where he asks the audience to "think of a number." He calls this number $x$ - Junior Cycle Mathematics - Question a - 2015

Worked Solution & Example Answer:Marcel has a number trick where he asks the audience to "think of a number." He calls this number $x$ - Junior Cycle Mathematics - Question a - 2015

Think of a number.

Multiply the number by 3.

Add 2 to your answer.

Subtract your original number (i.e., $x$).

Divide your answer by 2.

Subtract your original number.

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