Simplify by combining like terms: 3x squared + 7x + 9 + 7x squared + 9x + 8.
A10x squared + 16x + 17
B10x squared + 17x + 16
C21x squared + 16x + 17
D10x squared + 16x + 1
Answer & Solution
Correct answer: A. 10x squared + 16x + 17
1. Group the like terms: the x squared terms, the x terms, and the constants.
2. Combine the x squared terms: 3x squared plus 7x squared equals 10x squared.
3. Combine the x terms: 7x plus 9x equals 16x.
4. Combine the constants: 9 plus 8 equals 17.
5. The result is 10x squared plus 16x plus 17.
6. The option ending in 17x plus 16 swaps the two sums, and 21x squared multiplies the coefficients 3 and 7 instead of adding them.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_
Related questions
Is zero a positive number or a negative number?Add: 37 + (-53).Simplify: 30 divided by 5, plus 10 times (3 minus 2).The saying "Please Excuse My Dear Aunt Sally" helps students remember what?List the multiples of 9 and the multiples of 12. What is the first number to appear on botFind the prime factorization of 80.Check 4,962 with the divisibility tests for 2, 3, 5, 6, and 10. Which complete list of thoRound 23,658 to the nearest hundred.