MATH 110 FINAL EXAM/ ACTUAL EXAM
QUESTIONS AND CORRECT ANSWERS
GRADED A+ LATEST
MATH 110 — Final Exam
1. Evaluate: 7 + 3 × 4 − 6 ÷ 2
A. 16
B. 14
C. 13
D. 20
Answer: A
Rationale: Follow order of operations: 3×4=12; 6÷2=3; 7+12−3=16.
2. Simplify: (x^3)(x^−1)
A. x^2
B. x^4
C. x^−2
D. 1
Answer: A
Rationale: Add exponents: 3+(−1)=2 → x^2.
3. Which is a solution to 2x − 5 = 9?
A. 2
B. 5
C. 7
,D. −2
Answer: B
Rationale: 2x = 14 → x = 7? Wait recalc: 2x −5 =9 → 2x =14 → x=7. Correct
option C. Fix answer.
(Updated) Answer: C
Rationale: 2x = 14 → x = 7.
4. Factor completely: x^2 − 5x + 6
A. (x − 2)(x − 3)
B. (x + 2)(x + 3)
C. (x − 1)(x − 6)
D. Prime
Answer: A
Rationale: Find numbers −2 and −3 multiply to 6 and add to −5.
5. Solve for x: (x − 4)(x + 2) = 0
A. x = 4 only
B. x = −2 only
C. x = 4 or x = −2
D. x = 2 or x = −4
Answer: C
Rationale: Set each factor to zero.
6. Simplify: (2/3) ÷ (4/9)
A. 3/2
B. 1/3
C. 3/4
D. 9/8
,Answer: A
Rationale: Divide by fraction: (2/3) × (9/4) = 18/12 = 3/2.
7. Which ordered pair satisfies the system: y = 2x + 1 and y = −x + 4?
A. (1, 3)
B. (0, 1)
C. (2, 5)
D. (1, 2)
Answer: A
Rationale: Set 2x+1 = −x+4 → 3x = 3 → x =1 → y=3.
8. The slope of the line through (2,5) and (6,13) is:
A. 2
B. 8
C. 1
D. 4
Answer: A
Rationale: Slope = (13−5)/(6−2)=8/4=2.
9. Simplify: √(49)
A. 7
B. −7
C. 0
D. ±7
Answer: A
Rationale: Principal square root is positive 7.
10. Solve inequality: 3x + 2 < 11
, A. x < 3
B. x < 9
C. x > 3
D. x ≤ 3
Answer: A
Rationale: 3x < 9 → x < 3.
11. Evaluate function f(x) = x^2 − 2x + 1 at x = 3
A. 4
B. 1
C. 7
D. 9
Answer: C
Rationale: 3^2 − 6 +1 = 9 −6 +1 =4? Wait compute: 9−6+1=4. Correct option A.
Update.
(Updated) Answer: A
Rationale: f(3)=9−6+1=4.
12. Which expression is equivalent to (a^2 b^−3) / (a^−1 b^2)?
A. a^3 b^−5
B. a^1 b^−1
C. a^1 b^−5
D. a^3 b^5
Answer: A
Rationale: Subtract exponents: a^{2−(−1)} = a^3; b^{−3−2}=b^{−5}.
13. Solve quadratic: x^2 − 4x + 4 = 0
A. x = 2 (double root)
QUESTIONS AND CORRECT ANSWERS
GRADED A+ LATEST
MATH 110 — Final Exam
1. Evaluate: 7 + 3 × 4 − 6 ÷ 2
A. 16
B. 14
C. 13
D. 20
Answer: A
Rationale: Follow order of operations: 3×4=12; 6÷2=3; 7+12−3=16.
2. Simplify: (x^3)(x^−1)
A. x^2
B. x^4
C. x^−2
D. 1
Answer: A
Rationale: Add exponents: 3+(−1)=2 → x^2.
3. Which is a solution to 2x − 5 = 9?
A. 2
B. 5
C. 7
,D. −2
Answer: B
Rationale: 2x = 14 → x = 7? Wait recalc: 2x −5 =9 → 2x =14 → x=7. Correct
option C. Fix answer.
(Updated) Answer: C
Rationale: 2x = 14 → x = 7.
4. Factor completely: x^2 − 5x + 6
A. (x − 2)(x − 3)
B. (x + 2)(x + 3)
C. (x − 1)(x − 6)
D. Prime
Answer: A
Rationale: Find numbers −2 and −3 multiply to 6 and add to −5.
5. Solve for x: (x − 4)(x + 2) = 0
A. x = 4 only
B. x = −2 only
C. x = 4 or x = −2
D. x = 2 or x = −4
Answer: C
Rationale: Set each factor to zero.
6. Simplify: (2/3) ÷ (4/9)
A. 3/2
B. 1/3
C. 3/4
D. 9/8
,Answer: A
Rationale: Divide by fraction: (2/3) × (9/4) = 18/12 = 3/2.
7. Which ordered pair satisfies the system: y = 2x + 1 and y = −x + 4?
A. (1, 3)
B. (0, 1)
C. (2, 5)
D. (1, 2)
Answer: A
Rationale: Set 2x+1 = −x+4 → 3x = 3 → x =1 → y=3.
8. The slope of the line through (2,5) and (6,13) is:
A. 2
B. 8
C. 1
D. 4
Answer: A
Rationale: Slope = (13−5)/(6−2)=8/4=2.
9. Simplify: √(49)
A. 7
B. −7
C. 0
D. ±7
Answer: A
Rationale: Principal square root is positive 7.
10. Solve inequality: 3x + 2 < 11
, A. x < 3
B. x < 9
C. x > 3
D. x ≤ 3
Answer: A
Rationale: 3x < 9 → x < 3.
11. Evaluate function f(x) = x^2 − 2x + 1 at x = 3
A. 4
B. 1
C. 7
D. 9
Answer: C
Rationale: 3^2 − 6 +1 = 9 −6 +1 =4? Wait compute: 9−6+1=4. Correct option A.
Update.
(Updated) Answer: A
Rationale: f(3)=9−6+1=4.
12. Which expression is equivalent to (a^2 b^−3) / (a^−1 b^2)?
A. a^3 b^−5
B. a^1 b^−1
C. a^1 b^−5
D. a^3 b^5
Answer: A
Rationale: Subtract exponents: a^{2−(−1)} = a^3; b^{−3−2}=b^{−5}.
13. Solve quadratic: x^2 − 4x + 4 = 0
A. x = 2 (double root)
