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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Is 7 a solution of x > 5?
Show worked solution
Yes — 7 > 5.
2 For x ≤ 4, is the circle at 4 open or filled?
Show worked solution
Filled — ≤ includes the boundary value.
3 Solve x + 3 > 10.
Show worked solution
x > 7.
Level 2 · Core
4 Solve 3x + 2 > 14.
Show worked solution
3x > 12, so x > 4.
5 Solve x/2 − 1 ≤ 3.
Show worked solution
x/2 ≤ 4, so x ≤ 8.
6 Write "at most 50 kg" as an inequality using x. (as an inequality)
Show worked solution
x ≤ 50 — "at most" includes the boundary.
Level 3 · Challenge
7 Solve −2x > 10.
Show worked solution
Divide by −2 and flip: x < −5.
8 Solve 5 − 2x ≥ 1.
Show worked solution
−2x ≥ −4 → x ≤ 2. Check x = 0: 5 ≥ 1 ✓
9 A lift holds at most 8 people and 3 are already inside. At most how many MORE can get in?
Show worked solution
3 + x ≤ 8 → x ≤ 5, so at most 5 more people.