ALGEBRA ACTUAL QUESTIONS 100 PERCENT CORRECT ANSWERS AND DETAILED RATIONALES GRADED A+ 1. Solve for x: 3x - 7 = 14. A. 5 B. 7 C. 9 D. 11 Correct Answer: B. 7 Rationale: Add 7 to both sides to get 3x = 21. Divide both sides by 3 to get x = 7.

MAT 101 FINAL EXAM COLLEGE
ALGEBRA ACTUAL QUESTIONS 100
PERCENT CORRECT ANSWERS AND
DETAILED RATIONALES GRADED A+
1. Solve for x: 3x - 7 = 14.



A. 5

B. 7

C. 9

D. 11



Correct Answer: B. 7



Rationale: Add 7 to both sides to get 3x = 21. Divide both sides by 3 to get x = 7.
Choices A, C, and D are incorrect based on these algebraic steps.



2. Solve for x: 2(x + 4) = 18.



A. 3

B. 5

C. 7

,D. 9



Correct Answer: B. 5



Rationale: Distribute the 2 to get 2x + 8 = 18. Subtract 8 from both sides to get 2x
= 10, then divide by 2 to get x = 5. Choices A, C, and D are incorrect.



3. Solve for x: (x / 3) + 2 = 5.



A. 6

B. 7

C. 9

D. 12



Correct Answer: C. 9



Rationale: Subtract 2 from both sides to get x / 3 = 3. Multiply both sides by 3 to
get x = 9. Choices A, B, and D are incorrect.



4. Solve for x: 5x - 3 = 2x + 9.



A. 2

,B. 3

C. 4

D. 6



Correct Answer: C. 4



Rationale: Subtract 2x from both sides to get 3x - 3 = 9. Add 3 to both sides to get
3x = 12. Divide by 3 to get x = 4. Choices A, B, and D are incorrect.



5. Solve for x: -2x + 8 = 20.



A. -8

B. -6

C. 6

D. 8



Correct Answer: B. -6



Rationale: Subtract 8 from both sides to get -2x = 12. Divide by -2 to get x = -6.
Choices A, C, and D are incorrect.



6. Solve for x: 4(x - 1) = 2(x + 3).

, A. 3

B. 4

C. 5

D. 6



Correct Answer: C. 5



Rationale: Distribute to get 4x - 4 = 2x + 6. Subtract 2x and add 4 to both sides to
get 2x = 10. Divide by 2 to get x = 5. Choices A, B, and D are incorrect.



7. Solve for x: 3(2x - 1) = 5x + 4.



A. 5

B. 6

C. 7

D. 8



Correct Answer: C. 7



Rationale: Distribute to get 6x - 3 = 5x + 4. Subtract 5x and add 3 to both sides to
get x = 7. Choices A, B, and D are incorrect.