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Practice set · Grades 9 to 11

Algebra 2 practice problems

10 problems with answers, grouped by topic.

Stuck? Open the Algebra 2 hub for the worked examples.

Quadratic equations

Solve each problem. Then open the answer to check.

$x^2 - 6x + 8 = 0$

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$x = 2,\ x = 4$
$x^2 + 4x + 3 = 0$

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$x = -1,\ x = -3$
$x^2 - 16 = 0$

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$x = 4,\ x = -4$
$x^2 + 5x + 6 = 0$

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$x = -2,\ x = -3$

Factoring

Solve each problem. Then open the answer to check.

$x^2 - 25$

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$(x - 5)(x + 5)$
$x^2 - 36$

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$(x - 6)(x + 6)$
$4x^2 - 1$

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$(2x - 1)(2x + 1)$

Rational exponents and radicals

Solve each problem. Then open the answer to check.

$27^{1/3}$

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$3$
$\sqrt{x - 1} = 3$

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$x = 10$
$\sqrt{2x} = 6$

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$x = 18$

Need the method?

Every Algebra 2 topic has worked examples, step by step.

Open the Algebra 2 hub