Bluebook SAT Test Cheat Sheet 2026

The 30 highest-yield Bluebook SAT Test facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. A car uses 6 liters of fuel per 100 km. If fuel costs $1.80 per liter, how much does it cost to drive 350 km? → $37.80
2. Which of the following is equivalent to (3x − 5)² − (3x + 5)²? → −60x
3. A train travels at 90 kilometers per hour. How many meters does it travel in 40 seconds? (1 km = 1,000 m; 1 hour = 3,600 seconds) → 1,000 m
4. Which of the following is equivalent to x² − 9? → (x + 3)(x − 3)
5. The parabola y = x² − 4x + 7 and the line y = 2x + k intersect at exactly one point. What is k? → −2
6. For f(x) = 5x − 9 and g(x) = 3x + 1, what is the x-value where f(x) = g(x)? → 5
7. A square has the same area as a circle with radius 6. What is the approximate side length of the square? (Use π ≈ 3.14) → 10.63
8. Serena handed the invitation to both Marcus and _______. → them
9. A circle has center (0, 0) and radius 5. What is the circumference? → 10π
10. If 3x + 7 = 22, what is the value of x? → 5
11. Which point is in the region defined by y > 2x − 3 AND y < −x + 6? → (1, 2)
12. Dataset: {4, 6, 8, 10, 12}. Each value is multiplied by 3. What happens to the mean and standard deviation? → Mean triples; standard deviation triples
13. The equation |2x − 5| = |x + 4| has two solutions. What is the sum of those solutions? → 7
14. Which of the following equals 5^(1/2) × 20^(1/2)? → 10
15. A linear model predicts plant height (y, cm) from days of growth (x): y = 1.8x + 5. What is the predicted height at day 10? → 23 cm
16. Which expression is equivalent to (x³ − 8)/(x² − 4), given that x ≠ 2 and x ≠ −2? → (x² + 2x + 4)/(x + 2)
17. How many distinct points of intersection exist between the circle x² + y² = 25 and the parabola y = x² − 5? → 3
18. The Mars rover transmitted data for six years before ______ battery finally failed. → its
19. A bucket holds 8 balls: 3 orange and 5 gray. Three balls are drawn one at a time with replacement. What is the probability all three are gray? → 125/512
20. Which expression is equivalent to 3(2x − 1)² − 3? → All of the above
21. A linear function has the values shown: f(−2) = 8 and f(4) = −4. What is f(1)? → 2
22. The function f(x) = (x² − 1)/(x + 1) has a removable discontinuity at x = −1. What value would make f continuous there? → −2
23. A linear function f satisfies f(3) = 7 and f(7) = 3. What is the value of f(f(5))? → 5
24. Which expression is equivalent to √(50x⁴)? → 5x²√2
25. A data set has 7 values with a median of 18. A new value of 5 is added to the dataset, making it 8 values total. What is the new median? → It cannot be determined without knowing all values.
26. In the equation y = 2x + c, the line passes through the origin. What is the value of c? → 0
27. In triangles ABC and DEF, AB = DE = 6, BC = EF = 10, and angle B = angle E = 40°. By which congruence rule are they congruent? → SAS
28. Three angles on a straight line are x, 2x, and 3x. What is x? → 30°
29. If 3x² − 27 = 0, which factored form represents the left side? → 3(x − 3)(x + 3)
30. A sphere has volume (500/3)π cm³. What is the radius? → 5 cm