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Practice set · Grades 8 to 9

Algebra 1 practice problems

10 problems with answers, grouped by topic.

Stuck? Open the Algebra 1 hub for the worked examples.

Solving linear equations

Solve each problem. Then open the answer to check.

$2x + 7 = 15$

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$x = 4$
$3x - 5 = 10$

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$x = 5$
$4x + 1 = 2x + 9$

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$x = 4$
$5x - 3 = 3x + 7$

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$x = 5$

Systems of equations

Solve each problem. Then open the answer to check.

$y = x + 1,\ x + y = 7$

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$x = 3,\ y = 4$
$y = 2x,\ x + y = 9$

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$x = 3,\ y = 6$
$y = x - 2,\ 3x + y = 10$

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$x = 3,\ y = 1$

Linear functions

Solve each problem. Then open the answer to check.

$(1, 1) \text{ and } (3, 7)$

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$m = 3$
$(2, 5) \text{ and } (4, 1)$

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$m = -2$
$\text{slope } 2 \text{ through } (1, 3)$

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$y = 2x + 1$

Need the method?

Every Algebra 1 topic has worked examples, step by step.

Open the Algebra 1 hub