Question

If + = x, - = ^, x = -, evaluate: 5 - 2 × 3 + 1

• A. 22
• B. 23
• C. 24
• D. 25

Answer 1

Answer:

A. 22

Mathematical Operation Substitution Strategy

• Analyze the given transformations: Replace the operators according to the specified rules:
  • The subtraction sign (-) is transformed into the exponentiation operator (^).
  • The multiplication sign (x) is transformed into the subtraction operator (-).
  • The addition sign (+) is transformed into the multiplication operator (x).
• Translate the expression: Based on the rules provided, the expression 5 - 2 x 3 + 1 is rewritten as follows:
  • Replace - with ^: 5 ^ 2
  • Replace x with -: 2 - 3
  • Replace + with x: 3 x 1
  • Resulting expression: 5 ^ 2 - 3 x 1
• Apply the Order of Operations (BODMAS/PEMDAS): Solve the new expression strictly adhering to the standard mathematical hierarchy:
  • Step 1 (Exponents): Calculate 5 ^ 2, which equals 25. The expression becomes 25 - 3 x 1.
  • Step 2 (Multiplication): Perform the multiplication next: 3 x 1 = 3. The expression becomes 25 - 3.
  • Step 3 (Subtraction): Finally, compute the subtraction: 25 - 3 = 22.