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30 random questions |30 minutes | Questions are randomized every attempt. Good luck!


ACT Math - Algebra Practice Test

Test your ACT algebra skills with 30 random practice test questions. Great for students preparing for the ACT math section!

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1. What does it mean graphically if the discriminant = 0?

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2. What is the domain of f(x) = √(x - 4)?

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3. Solve: 3/x = 6/8

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4. What is the value of (x-1)(x+1)(x²+1) when x=2?

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5. If h(x) = x² - 4x, what is h(6)?

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6. What is the intersection of y=x+1 and y=x²-1?

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7. What is the product of roots of x² - 5x + 6 = 0?

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8. Simplify: (x + y)² - (x - y)²

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9. Simplify: 3x² + 2x - x² + 4x

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10. If f(x) = 2ˣ, what is f(3)?

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11. Factor: 5x²-20

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12. Simplify: (x⁴)/(x²)

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13. What is the quadratic with roots -3 and 7?

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14. If f(x) = 2x + 3, what is f⁻¹(x)?

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15. What is the value of log₅(125)?

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16. Solve: 3x-4 ≥ 2x+1

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17. Solve: e^x = e³

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18. Simplify: √50 + √18

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19. What is the slope of 4x + 2y = 8?

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20. Simplify: log(x²) - log(x)

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21. Solve: 3x/4 = 9

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22. Simplify: (x+2)/(x²-4)

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23. If f(x)=3x+k and f(2)=11, what is k?

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24. If f(x)=x+3 and g(x)=2x, what is (g∘f)(x)?

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25. Solve: 3x+5 > 4x-2

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26. If f(x) = √(x + 9), what is the domain?

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27. If f(x) = x² and g(x) = 2x - 1, what is g(f(3))?

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28. Solve: x² + 4x + 4 = 0

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29. Solve: 5^(x-1)=25

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30. Simplify: (4x³y²) / (2xy)

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