Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 Expand 5(x + 2). (as a simplified expression)
Show worked solution
5 × x and 5 × 2 → 5x + 10.
2 Solve 2(x + 3) = 16.
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x + 3 = 8, so x = 5. Check: 2(5 + 3) = 16 ✓
3 Solve 4(x − 1) = 20.
Show worked solution
x − 1 = 5, so x = 6. Check: 4(6 − 1) = 20 ✓
Level 2 · Core
4 Expand −3(x + 4). (as a simplified expression)
Show worked solution
−3 × x = −3x and −3 × 4 = −12 → −3x − 12.
5 Expand −4(x − 2). (as a simplified expression)
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−4 × x = −4x and −4 × (−2) = +8 → −4x + 8.
6 Solve 4(2x + 1) = 36.
Show worked solution
2x + 1 = 9 → 2x = 8 → x = 4. Check: 4(9) = 36 ✓
Level 3 · Challenge
7 Solve 2(x − 3) + 4 = 14.
Show worked solution
2x − 2 = 14 → 2x = 16 → x = 8.
8 Solve 5(x − 2) = 3(x + 4).
Show worked solution
5x − 10 = 3x + 12 → 2x = 22 → x = 11.
9 Solve 3(2x − 1) = 2(x + 6) + 1.
Show worked solution
6x − 3 = 2x + 13 → 4x = 16 → x = 4.