Simplify by combining like terms: 2x squared + 3x + 7 + x squared + 4x + 5.
A3x squared + 7x + 12
B3x squared + 7x + 5
C6x squared + 7x + 12
D3x squared + 12x + 12
Answer & Solution
Correct answer: A. 3x squared + 7x + 12
1. Group the like terms together: the x squared terms, the x terms, and the constant terms.
2. Combine the x squared terms: 2x squared plus x squared equals 3x squared.
3. Combine the x terms: 3x plus 4x equals 7x.
4. Combine the constants: 7 plus 5 equals 12.
5. Putting the groups back together gives 3x squared plus 7x plus 12.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_
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