240 SAT Math Questions & Answers from
800 Scorer 2026/2027
1. Solve for x: 3x + 7 = 22
A. x = 3
B. x = 4
C. x = 5
D. x = 6
Correct Answer: C
Rationale: 3x + 7 = 22. Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.
2. Solve for x: 2x - 5 = 3x + 4
A. x = -9
B. x = -1
C. x = 1
D. x = 9
Correct Answer: A
Rationale: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both
sides: -9 = x.
3. Solve for x: 4(x + 2) = 3x + 10
A. x = 0
B. x = 1
C. x = 2
D. x = 3
Correct Answer: C
Rationale: 4x + 8 = 3x + 10. Subtract 3x from both sides: x + 8 = 10. Subtract 8 from
both sides: x = 2.
4. Solve for x: (x + 3)/2 = 5
,A. x = 5
B. x = 7
C. x = 10
D. x = 13
Correct Answer: B
Rationale: (x + 3)/2 = 5. Multiply both sides by 2: x + 3 = 10. Subtract 3 from both
sides: x = 7.
5. Solve for x: |2x - 3| = 7
A. x = 2 or x = -2
B. x = 5 or x = -2
C. x = 5 or x = -5
D. x = 2 or x = 5
Correct Answer: B
Rationale: 2x - 3 = 7 or 2x - 3 = -7. 2x - 3 = 7 → 2x = 10 → x = 5. 2x - 3 = -7 → 2x = -4
→ x = -2.
6. Solve the system: x + y = 10 and 2x - y = 5
A. x = 5, y = 5
B. x = 6, y = 4
C. x = 4, y = 6
D. x = 7, y = 3
Correct Answer: A
Rationale: Add the equations: 3x = 15 → x = 5. Substitute into x + y = 10: 5 + y = 10 →
y = 5.
7. Solve the system: 2x + 3y = 12 and x - y = 1
A. x = 3, y = 2
B. x = 4, y = 3
C. x = 2, y = 1
D. x = 5, y = 4
Correct Answer: A
Rationale: From x - y = 1, x = y + 1. Substitute into 2x + 3y = 12: 2(y + 1) + 3y = 12 →
2y + 2 + 3y = 12 → 5y = 10 → y = 2. x = 2 + 1 = 3.
, 8. What is the slope of the line y = 3x + 5?
A. -3
B. 3
C. 5
D. -5
Correct Answer: B
Rationale: The equation is in slope-intercept form y = mx + b, where m is the slope. The
slope is 3.
9. What is the slope of the line 2x + 4y = 8?
A. -1/2
B. 1/2
C. 2
D. -2
Correct Answer: A
Rationale: 2x + 4y = 8 → 4y = -2x + 8 → y = -1/2x + 2. The slope is -1/2.
10. What is the equation of a line with slope 2 passing through (1, 3)?
A. y = 2x + 1
B. y = 2x + 3
C. y = 2x - 1
D. y = x + 2
Correct Answer: A
Rationale: y - y₁ = m(x - x₁) → y - 3 = 2(x - 1) → y = 2x - 2 + 3 → y = 2x + 1.
11. Solve for x: x² - 5x + 6 = 0
A. x = 2, 3
B. x = -2, -3
C. x = 1, 6
D. x = -1, -6
Correct Answer: A
Rationale: x² - 5x + 6 = (x - 2)(x - 3) = 0. x = 2 or x = 3.
12. Solve for x: 2x² - 8x = 0
800 Scorer 2026/2027
1. Solve for x: 3x + 7 = 22
A. x = 3
B. x = 4
C. x = 5
D. x = 6
Correct Answer: C
Rationale: 3x + 7 = 22. Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.
2. Solve for x: 2x - 5 = 3x + 4
A. x = -9
B. x = -1
C. x = 1
D. x = 9
Correct Answer: A
Rationale: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both
sides: -9 = x.
3. Solve for x: 4(x + 2) = 3x + 10
A. x = 0
B. x = 1
C. x = 2
D. x = 3
Correct Answer: C
Rationale: 4x + 8 = 3x + 10. Subtract 3x from both sides: x + 8 = 10. Subtract 8 from
both sides: x = 2.
4. Solve for x: (x + 3)/2 = 5
,A. x = 5
B. x = 7
C. x = 10
D. x = 13
Correct Answer: B
Rationale: (x + 3)/2 = 5. Multiply both sides by 2: x + 3 = 10. Subtract 3 from both
sides: x = 7.
5. Solve for x: |2x - 3| = 7
A. x = 2 or x = -2
B. x = 5 or x = -2
C. x = 5 or x = -5
D. x = 2 or x = 5
Correct Answer: B
Rationale: 2x - 3 = 7 or 2x - 3 = -7. 2x - 3 = 7 → 2x = 10 → x = 5. 2x - 3 = -7 → 2x = -4
→ x = -2.
6. Solve the system: x + y = 10 and 2x - y = 5
A. x = 5, y = 5
B. x = 6, y = 4
C. x = 4, y = 6
D. x = 7, y = 3
Correct Answer: A
Rationale: Add the equations: 3x = 15 → x = 5. Substitute into x + y = 10: 5 + y = 10 →
y = 5.
7. Solve the system: 2x + 3y = 12 and x - y = 1
A. x = 3, y = 2
B. x = 4, y = 3
C. x = 2, y = 1
D. x = 5, y = 4
Correct Answer: A
Rationale: From x - y = 1, x = y + 1. Substitute into 2x + 3y = 12: 2(y + 1) + 3y = 12 →
2y + 2 + 3y = 12 → 5y = 10 → y = 2. x = 2 + 1 = 3.
, 8. What is the slope of the line y = 3x + 5?
A. -3
B. 3
C. 5
D. -5
Correct Answer: B
Rationale: The equation is in slope-intercept form y = mx + b, where m is the slope. The
slope is 3.
9. What is the slope of the line 2x + 4y = 8?
A. -1/2
B. 1/2
C. 2
D. -2
Correct Answer: A
Rationale: 2x + 4y = 8 → 4y = -2x + 8 → y = -1/2x + 2. The slope is -1/2.
10. What is the equation of a line with slope 2 passing through (1, 3)?
A. y = 2x + 1
B. y = 2x + 3
C. y = 2x - 1
D. y = x + 2
Correct Answer: A
Rationale: y - y₁ = m(x - x₁) → y - 3 = 2(x - 1) → y = 2x - 2 + 3 → y = 2x + 1.
11. Solve for x: x² - 5x + 6 = 0
A. x = 2, 3
B. x = -2, -3
C. x = 1, 6
D. x = -1, -6
Correct Answer: A
Rationale: x² - 5x + 6 = (x - 2)(x - 3) = 0. x = 2 or x = 3.
12. Solve for x: 2x² - 8x = 0
