Q. Which of the following is equal to (5x+9)+(3x−11)?Choose 1 answer:(A) 2x−2(B) 2x+20(C) 8x−2(D) 8x+20
Breakdown of Expressions: We have the expressions (5x+9) and (3x−11). To add them, we add the coefficients of x together and the constant terms together.(5x+9)+(3x−11)=5x+3x+9−11
Combine Coefficients and Constants: Now we combine the coefficients of x: 5x+3x=8x. And we combine the constant terms: 9−11=−2. So, (5x+9)+(3x−11)=8x−2.
Check Answer Choices: We check the answer choices to see which one matches our result:(A) 2x−2 (B) 2x+20 (C) 8x−2 (D) 8x+20The correct answer is (C) 8x−2, which matches our result.