MAT 101 FINAL EXAM | COLLEGE ALGEBRA | ACTUAL
QUESTIONS AND ANSWERS 100% CORRECT |
STRAIGHTERLINE | 2026 UPDATE
Document Information
Course: MAT 101 - College Algebra
Institution: Straighterline
Academic Year: 2025/2026
Total Questions: 200
Format: Multiple Choice with Correct Answers and Rationales
SECTION 1: LINEAR EQUATIONS AND INEQUALITIES (Questions 1-
20)
Question 1
Solve the equation: 3x - 7 = 11
A. 4
B. 6
C. 8
D. 18
,Correct Answer: B. 6
Rationale: Add 7 to both sides to get 3x = 18. Divide by 3 to get x = 6. Choices A, C, and D
are the result of incorrect arithmetic operations.
Question 2
Find the slope of the line passing through the points (2, 5) and (4, 9).
A. 2
B. 4
C. 1/2
D. -2
Correct Answer: A. 2
Rationale: The slope formula is m = (y₂ - y₁)/(x₂ - x₁). Substituting the points gives m = (9
- 5)/(4 - 2) = 4/2 = 2.
Question 3
What is the equation of the line with a slope of 3 and a y-intercept of -4?
A. y = 3x - 4
B. y = -4x + 3
C. y = 3x + 4
D. y = -3x - 4
Correct Answer: A. y = 3x - 4
Rationale: The slope-intercept form of a linear equation is y = mx + b, where m is the
slope and b is the y-intercept. Substituting m = 3 and b = -4 yields y = 3x - 4.
,Question 4
Solve the inequality: 2x - 5 < 9
A. x < 7
B. x > 7
C. x < 14
D. x > 14
Correct Answer: A. x < 7
Rationale: Add 5 to both sides: 2x < 14. Divide by 2: x < 7. The inequality sign remains the
same because we divided by a positive number.
Question 5
Solve the inequality: -3x + 7 ≤ 22
A. x ≤ -5
B. x ≥ -5
C. x ≤ 5
D. x ≥ 5
Correct Answer: B. x ≥ -5
Rationale: Subtract 7 from both sides: -3x ≤ 15. Divide by -3 and REVERSE the inequality
sign: x ≥ -5. Remember to reverse the inequality when multiplying or dividing by a
negative number.
, Question 6
Solve for x: (x + 3)/4 = (x - 1)/2
A. 5
B. 6
C. 7
D. 8
Correct Answer: A. 5
Rationale: Cross-multiply: 2(x + 3) = 4(x - 1). Expand: 2x + 6 = 4x - 4. Subtract 2x: 6 = 2x -
4. Add 4: 10 = 2x. Divide by 2: x = 5.
Question 7
Solve for x: 5x - 7 = 3x + 9
A. 6
B. 7
C. 8
D. 9
Correct Answer: C. 8
Rationale: Subtract 3x from both sides: 2x - 7 = 9. Add 7 to both sides: 2x = 16. Divide by
2: x = 8.
Question 8
Solve for x: 3(x + 2) = 5x - 8
QUESTIONS AND ANSWERS 100% CORRECT |
STRAIGHTERLINE | 2026 UPDATE
Document Information
Course: MAT 101 - College Algebra
Institution: Straighterline
Academic Year: 2025/2026
Total Questions: 200
Format: Multiple Choice with Correct Answers and Rationales
SECTION 1: LINEAR EQUATIONS AND INEQUALITIES (Questions 1-
20)
Question 1
Solve the equation: 3x - 7 = 11
A. 4
B. 6
C. 8
D. 18
,Correct Answer: B. 6
Rationale: Add 7 to both sides to get 3x = 18. Divide by 3 to get x = 6. Choices A, C, and D
are the result of incorrect arithmetic operations.
Question 2
Find the slope of the line passing through the points (2, 5) and (4, 9).
A. 2
B. 4
C. 1/2
D. -2
Correct Answer: A. 2
Rationale: The slope formula is m = (y₂ - y₁)/(x₂ - x₁). Substituting the points gives m = (9
- 5)/(4 - 2) = 4/2 = 2.
Question 3
What is the equation of the line with a slope of 3 and a y-intercept of -4?
A. y = 3x - 4
B. y = -4x + 3
C. y = 3x + 4
D. y = -3x - 4
Correct Answer: A. y = 3x - 4
Rationale: The slope-intercept form of a linear equation is y = mx + b, where m is the
slope and b is the y-intercept. Substituting m = 3 and b = -4 yields y = 3x - 4.
,Question 4
Solve the inequality: 2x - 5 < 9
A. x < 7
B. x > 7
C. x < 14
D. x > 14
Correct Answer: A. x < 7
Rationale: Add 5 to both sides: 2x < 14. Divide by 2: x < 7. The inequality sign remains the
same because we divided by a positive number.
Question 5
Solve the inequality: -3x + 7 ≤ 22
A. x ≤ -5
B. x ≥ -5
C. x ≤ 5
D. x ≥ 5
Correct Answer: B. x ≥ -5
Rationale: Subtract 7 from both sides: -3x ≤ 15. Divide by -3 and REVERSE the inequality
sign: x ≥ -5. Remember to reverse the inequality when multiplying or dividing by a
negative number.
, Question 6
Solve for x: (x + 3)/4 = (x - 1)/2
A. 5
B. 6
C. 7
D. 8
Correct Answer: A. 5
Rationale: Cross-multiply: 2(x + 3) = 4(x - 1). Expand: 2x + 6 = 4x - 4. Subtract 2x: 6 = 2x -
4. Add 4: 10 = 2x. Divide by 2: x = 5.
Question 7
Solve for x: 5x - 7 = 3x + 9
A. 6
B. 7
C. 8
D. 9
Correct Answer: C. 8
Rationale: Subtract 3x from both sides: 2x - 7 = 9. Add 7 to both sides: 2x = 16. Divide by
2: x = 8.
Question 8
Solve for x: 3(x + 2) = 5x - 8
