Free Algebra Practice Test 2026 (With Answers & Solutions)
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Test your skills with 10 Algebra 1 & 2 questions — each with a worked solution — then keep practicing with free worksheets and study books.
What Does Algebra Cover?
Algebra is the foundation for almost every higher math course. The word comes from the Arabic al-jabr (“the reunion of broken parts”), and the subject uses symbols — usually letters like x and y — to represent numbers and relationships.
Elementary algebra (Algebra 1) covers the basics: variables and expressions, the order of operations, solving linear equations and inequalities, exponents, polynomials, factoring, and an introduction to functions and graphing lines.
Advanced algebra (Algebra 2) builds on that with systems of equations, quadratic equations, radical and rational expressions, exponential and logarithmic functions, and more complex graphing — preparing you for pre-calculus and college math.
A good algebra practice test mixes both levels so you can find weak spots quickly. Work the questions below, check the step-by-step solutions, then drill any topic you miss with the free worksheets.
A Simple 4-Week Algebra Study Plan
Free Algebra Practice Test
Work through 10 algebra questions one at a time. Answer, tap Show answer, then press Next.
Solve for x: 2x + 5 = 17.
- A) 4
- B) 6
- C) 11
- D) 22
Show answer
Simplify: 3(x + 4) − 2x.
- A) x + 12
- B) 5x + 4
- C) x + 4
- D) 5x + 12
Show answer
Factor: x² − 9.
- A) (x − 3)(x − 3)
- B) (x + 3)(x + 3)
- C) (x − 3)(x + 3)
- D) (x − 9)(x + 1)
Show answer
Solve: x² − 5x + 6 = 0.
- A) x = 1 or 6
- B) x = 2 or 3
- C) x = −2 or −3
- D) x = 5 or 6
Show answer
Simplify: x³ · x⁴.
- A) x⁷
- B) x¹²
- C) x¹
- D) 2x⁷
Show answer
Slope of the line through (2, 3) and (4, 11)?
- A) 2
- B) 3
- C) 4
- D) 8
Show answer
Solve: x + y = 10 and x − y = 4.
- A) x = 7, y = 3
- B) x = 6, y = 4
- C) x = 5, y = 5
- D) x = 8, y = 2
Show answer
Multiply: (2x²)(3x³).
- A) 5x⁵
- B) 6x⁵
- C) 6x⁷
- D) 5x⁷
Show answer
Solve: 3x − 2 > 7.
- A) x > 3
- B) x < 3
- C) x > 5
- D) x > 9
Show answer
If f(x) = 2x² − 1, what is f(3)?
- A) 11
- B) 17
- C) 18
- D) 35
Show answer
Nice work — you finished all 10!
Keep practicing with free algebra worksheets.
Practice by Topic
Find your weak spots, then drill each one with our free math worksheets:
Free Algebra Resources
Related Algebra Books
Browse our Algebra 1 library — scroll for more, or see all books.
Algebra Formulas You Should Know
- Slope: m = (y₂ − y₁) ÷ (x₂ − x₁).
- Slope-intercept: y = mx + b.
- Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a.
- Difference of squares: a² − b² = (a − b)(a + b).
- Perfect square: (a ± b)² = a² ± 2ab + b².
- Exponent rules: xᵃ·xᵇ = xᵃ⁺ᵇ; (xᵃ)ᵇ = xᵃᵇ.
Tips to Ace Your Algebra Test
- Do the same operation to both sides of an equation.
- Watch your signs — a dropped negative is the most common mistake.
- Check by substituting your answer back in.
- Factor first for quadratics; use the formula only if it won’t factor.