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Evaluate: 5 × (3 + 2^2) - 4

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Question: Evaluate: 5 × (3 + 2^2) - 4

Options:

  1. 21
  2. 25
  3. 17
  4. 15

Correct Answer: 21

Solution: 

First, calculate inside the parentheses: 3 + 2^2 = 3 + 4 = 7. Then, 5 × 7 - 4 = 35 - 4 = 31.

Evaluate: 5 × (3 + 2^2) - 4

Practice Questions

Q1
Evaluate: 5 × (3 + 2^2) - 4
  1. 21
  2. 25
  3. 17
  4. 15

Questions & Step-by-Step Solutions

Evaluate: 5 × (3 + 2^2) - 4
  • Step 1: Calculate the exponent: 2^2 = 2 × 2 = 4.
  • Step 2: Add the result to 3: 3 + 4 = 7.
  • Step 3: Multiply 5 by the result from Step 2: 5 × 7 = 35.
  • Step 4: Subtract 4 from the result in Step 3: 35 - 4 = 31.
  • Order of Operations – The question tests the understanding of the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed.
  • Exponents – The question includes an exponent (2^2), testing the ability to evaluate powers correctly before performing addition.
  • Basic Arithmetic – The question requires basic arithmetic skills, including addition, multiplication, and subtraction.
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