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

SAT Math - Algebra Practice Test

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

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1. The average of x, x+2, x+4, x+6, x+8 is 20. What is x?

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2. A jar has dimes and quarters totaling $4.05 and 24 coins. How many dimes?

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3. If the line kx + 3y = 12 has slope -4, what is k?

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4. The function f(x) = 2^(x-1) + 3. Domain and range:

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5. If x + y = 6 and x − y = 2, then xy =

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6. A boat travels 60 km upstream in 3 hrs and 60 km downstream in 2 hrs. Speed of current:

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7. Solve: log₂(x)+log₂(x-6)=4

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8. If f(1)=1 and f(n+1)=f(n)+2n+1 for all n≥1, what is f(10)?

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9. Solve: 6x - 2 = 4x + 8

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10. How many integer values of k make x² + kx + 16 factorable over integers?

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11. What is the minimum value of x²+y²+z² subject to x+y+z=1?

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12. How many integer solutions exist for |x-3|+|x+3|<10?

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13. If f(x)=x/(x+1) for x≠-1, what is f⁻¹(x)?

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14. A store marks up a $45 item by 60%. Selling price:

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15. If g(x) = x² - 5, what is g(3)?

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16. For f(x) = ax² + bx + c with a > 0, vertex at (h, k), and x-intercepts at r and s. Which is true?

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17. Solve the inequality: x² − 5x + 6 < 0

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18. Solve: 3x+7=x+19

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19. If 3^(x+1) = 9^(x-1), what is x?

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20. If |a-b| = |a| - |b|, which must be true?

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21. Find c such that x² + 10x + c is a perfect square trinomial.

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22. For f(x)=3x-7 and g(x)=x²+2, what is (f-g)(x)?

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23. A population doubles every 5 years. Starting at 200, when does it first exceed 3000?

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24. What is the slope of a line perpendicular to y=4x-3?

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25. If g(x) = -2x + 8, for what x does g(x) = 0?

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26. For f(x)=|x|−x and g(x)=|x|+x, what is f(x)+g(x)?

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27. For f(x) = 2x and g(x) = x + 3, solve f(g(x)) = g(f(x)) + 2.

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28. For f(x) = ax + b, if f(2) = 7 and f(5) = 13, find f(10).

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29. A gym offers two plans: Plan A costs $40/month, Plan B costs $10 + $5/visit. For how many visits per month do the plans cost the same?

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30. Which inequality represents 'twice a number exceeds 14'?

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