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 4(x + 5). (as a simplified expression)
Show worked solution
4 × x and 4 × 5 → 4x + 20.
2 Expand 3(2a − 1). (as a simplified expression)
Show worked solution
3 × 2a = 6a; 3 × (−1) = −3 → 6a − 3.
3 Use the distributive law mentally: 6 × 102.
Show worked solution
6(100 + 2) = 600 + 12 = 612.
Level 2 · Core
4 Expand y(y + 8). (like y2+8y; type y^2+8y)
Show worked solution
y × y = y2; y × 8 = 8y → y2 + 8y.
5 Expand −2(m + 6). (as a simplified expression)
Show worked solution
−2 × m and −2 × 6 → −2m − 12.
6 Expand −5(x − 3). (as a simplified expression)
Show worked solution
−5 × (−3) = +15 → −5x + 15.
Level 3 · Challenge
7 Expand 3a(2a + 5b). (like 6a2+15ab; type 6a^2+15ab)
Show worked solution
3a × 2a = 6a2; 3a × 5b = 15ab → 6a2 + 15ab.
8 Simplify 5(x + 2) + 3(x − 4). (as a simplified expression)
Show worked solution
5x + 10 + 3x − 12 = 8x − 2.
9 Simplify 4(2y − 1) − 2(y − 3). (as a simplified expression)
Show worked solution
8y − 4 − 2y + 6 = 6y + 2. The −2 flips −3 to +6.