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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. Solve: x²+y²=10 and x-y=2 simultaneously.

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2. What is the value of 3x - 2y when x = 4, y = 3?

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

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4. The number of real solutions to x^4 − 4x^2 + 5 = 0 is:

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

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6. Solve: x^(2/3) = 4

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7. A function satisfies f(2x) = 2f(x) - 3. If f(4) = 9, what is f(2)?

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8. If h(x) = 2x − 1, what is h(h(3))?

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

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10. Solve: x/4-x/6=1

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11. A worker earns $15/hr for first 40 hrs and $22.50/hr for overtime. To earn $750, how many overtime hours?

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

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13. The number of real solutions to x=2^x:

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14. Two cars travel toward each other from 420 miles apart at 60 and 90 mph. When do they meet?

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15. If x + y = 8 and xy = 15, what is x² + y²?

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

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

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18. A system: x² + y² = 25 and y = x + 1. How many real intersection points?

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19. For x > 0, the minimum of x + 4/x + 9/(x+2) is achieved at:

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20. The parabola y=a(x-2)²+3 passes through (4,7). What is a?

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21. Solve: log₂(x) = 5

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22. Solve: 2^(x+3)=4^(x-1)

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23. If f(x) = 5 − x and g(x) = x + 3, what is (f∘g)(2)?

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24. If f(x+1/x)=x²+1/x², what is f(3)?

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

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26. Solve the system: y = x² and y = 2x + 3

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27. Find all x satisfying both x²-5x+6=0 and x²-3x+2=0.

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28. For a polynomial p(x) of degree n with leading coefficient a, the limit of p(x)/x^n as x→∞ is:

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29. A business earns P = 15n - 300 profit. For what minimum n is profit positive?

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

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