Developing Algebraic Rules: Answers

Click any answer below to watch the solution video.

1. Baking Muffins:

   1. Missing value: 18 muffins ▶ View Solution
   2. m = 6t ▶ View Solution
   3. 35 trays: 210 muffins ▶ View Solution
   4. 168 muffins: 28 trays ▶ View Solution

2. Square Tables at a Party (Visual Pattern):

   1. Missing values: 6, 8 ▶ View Solution

3. Using the Party Tables Pattern:

   1. p = 2t + 2 ▶ View Solution
   2. 15 tables: 32 people ▶ View Solution
   3. 42 people: 20 tables ▶ View Solution

4. Lego Tower:

   1. Table: 5, 8, 11 ▶ View Solution
   2. Words: Multiply level by 3, add 2 ▶ View Solution
   3. b = 3n + 2 ▶ View Solution
   4. 20 levels: 62 blocks ▶ View Solution
   5. 95 blocks: Level 31 ▶ View Solution

5. Bead Necklace:

   1. Table: 5, 8, 11 ▶ View Solution
   2. y = 3x + 2 ▶ View Solution
   3. 20 Blue beads: 62 Silver beads ▶ View Solution
   4. 107 Silver beads: 35 Blue beads ▶ View Solution

6. Stadium Seating:

   1. Table: 10, 12, 14, 16, 18 ▶ View Solution
   2. s = 2r + 8 ▶ View Solution
   3. 10th Row: 28 seats ▶ View Solution
   4. 81 seats? No, seat numbers are always even ▶ View Solution

7. Bike Rental:

   1. Table costs: $25, $35, $45 ▶ View Solution
   2. C = 10h + 15 ▶ View Solution
   3. 8 hours: $95.00 ▶ View Solution

8. The Burning Candle:

   1. Pattern: Decreases by 2 each time ▶ View Solution
   2. y = 30 − 2h ▶ View Solution
   3. 5 hours: 20 cm ▶ View Solution

9. Number Machine:

   1. Gap: 4 ▶ View Solution (9 to 13 to 17)
   2. Rule: p = 4n + 5 ▶ View Solution
   3. Input 10: 45 ▶ View Solution

10. Which Rule is Correct?

    1. Correct Rule: C) C = 40h + 50 ▶ View Solution
    2. 3-hour job: $170 ▶ View Solution (40 × 3 + 50)