1. An integer "x" is multiplied by 3 and the result is then decreased by 3. That result is then increased by 4. Finally, that result is decreased by 2. In terms of x", what is the final result SHOW YOUR WORK and write a BRIEF explanation that justifies your answer. HINT: Your 15 marks answer must show a step by step solution that reflects the above statement.

Question

1. An integer "x" is multiplied by 3 and the result is then decreased by 3. That result is then increased by 4. Finally, that result is decreased by 2. In terms of x", what is the final result SHOW YOUR WORK and write a BRIEF explanation that justifies your answer. HINT: Your 15 marks answer must show a step by step solution that reflects the above statement.

Possible Final Results:

a)x+3 (b) 3x-1 (c) x+2 (d) 3x-3 (c) x

Answer 1

Let's denote the integer x as x.

Step 1: x is multiplied by 3
Result: 3x

Step 2: The result is then decreased by 3
Result: 3x - 3

Step 3: The result is then increased by 4
Result: 3x - 3 + 4 = 3x + 1

Step 4: The result is then decreased by 2
Result: 3x + 1 - 2 = 3x - 1

Therefore, the final result in terms of x is 3x - 1.

This answer is justified by following the given steps in the problem statement and evaluating the expression at each step.