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If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?

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Question: If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?

Options:

  1. 12
  2. 15
  3. 18
  4. 21

Correct Answer: 15

Solution: 

Substituting gives 2(2^2) + 3(3) = 8 + 9 = 17.

If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?

Practice Questions

Q1
If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?
  1. 12
  2. 15
  3. 18
  4. 21

Questions & Step-by-Step Solutions

If a = 2 and b = 3, what is the value of the expression 2a^2 + 3b?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 3.
  • Step 2: Substitute the values of a and b into the expression 2a^2 + 3b.
  • Step 3: Calculate a^2. Since a = 2, a^2 = 2^2 = 4.
  • Step 4: Multiply 2 by a^2. So, 2 * 4 = 8.
  • Step 5: Calculate 3b. Since b = 3, 3 * 3 = 9.
  • Step 6: Add the results from Step 4 and Step 5. So, 8 + 9 = 17.
  • Algebraic Expression Evaluation – The question tests the ability to evaluate an algebraic expression by substituting given values for variables.
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