Algebra Test Cheat Sheet 2026

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

1. What is the leading coefficient of -5x⁴ + 3x² - x + 8? → -5
2. Multiply: (x - 4)(x + 4). → x² - 16
3. Simplify: (3x² + 2x - 1) + (x² - 4x + 5). → 4x² - 2x + 4
4. What is the degree of 4x³ - 2x² + 7x - 1? → 3
5. What is the solution to -x ≥ 3? → x ≤ -3
6. What is the x-intercept of f(x) = 2x - 8? → x = 4
7. What is √72 in simplified radical form? → 6√2
8. Factor completely: 3x³ - 12x. → 3x(x + 2)(x - 2)
9. A system with exactly one solution is called: → Consistent and independent
10. Solve for x: 5(x - 2) = 15 → x = 5
11. Which of the following is a trinomial? → x³ + 2x - 7
12. A negative leading coefficient on a quadratic function: → Makes it open downward
13. Solve: 2x + y = 8 and x + 2y = 7 → x = 3, y = 2
14. If y = 2x + 1, what is y when x = 4? → 9
15. When a system of two linear equations has no solution, geometrically the lines are: → Parallel
16. An even function satisfies: → f(-x) = f(x)
17. A student needs at least an 80 on the final exam to pass. Which models this? → s ≥ 80
18. Two linear equations with the same slope but different y-intercepts have: → No solution
19. How is x > 3 shown on a number line? → Open circle at 3, shading right
20. Simplify: (3x² + 2x - 1) + (x² - 4x + 5) → 4x² - 2x + 4
21. Which expression is equivalent to -(3x - 5)? → -3x + 5
22. Evaluate P(x) = 2x² - 3x + 1 at x = 2. → 3
23. Solve for y: 7y = 49 → y = 7
24. Which form of a quadratic is easiest for reading the roots directly? → Factored form
25. Divide: (6x³ - 3x) ÷ 3x. → 2x² - 1
26. What is the value of 5⁰? → 1
27. What notation means 'f composed with g'? → f ∘ g
28. Complete the square: x² + 6x + __ = (x + 3)² → 9
29. Solve by substitution: y = 2x and x + y = 9 → x = 3, y = 6
30. What is the vertex form of a quadratic equation? → y = a(x - h)² + k