Creating Algebraic Expressions: Answers

Click any answer below to watch the solution video.

1. Basic Expressions:

   1. Pool length: w + 15 ▶ View Solution
   2. Kilometres left: 10 − k ▶ View Solution

2. Number Patterns:

   1. 20, 21, 22, 23, 24, 25, 26 ▶ View Solution
   2. 100, 85, 70, 55, 40, 25 ▶ View Solution (Subtract 15)
   3. 10, 6, 2, −2, −6, −10 ▶ View Solution (Subtract 4)
   4. 5.0, 4.5, 4.0, 3.5, 3.0, 2.5 ▶ View Solution

3. Ambiguous Patterns (3, 6, ...):

   1. If rule is "Add 3": 9, 12, 15... ▶ View Solution
   2. If rule is "Multiply by 2": 12, 24, 48... ▶ View Solution

4. Using the rule (y = 3x):

   1. 30th term: 90 sticks ▶ View Solution (3 × 30)
   2. Term for 150 sticks: 50th term ▶ View Solution (150 ÷ 3)

5. Pentagon Patterns:

   1. Table values: 5, 10, 15 ▶ View Solution
   2. 4th term: 20 toothpicks ▶ View Solution
   3. Relationship: Multiply term by 5 ▶ View Solution
   4. y = 5x ▶ View Solution
   5. 100th term: 500 toothpicks ▶ View Solution

6. Sarah's Cards:

   1. Relationship: Day number plus 11 ▶ View Solution
   2. c = d + 11 ▶ View Solution
   3. 50th Day: 61 cards ▶ View Solution
   4. 92 cards: Day 81 ▶ View Solution

7. Movie Tickets:

   1. Table: 1=$12, 2=$24, 3=$36, 4=$48 ▶ View Solution
   2. C = 12t ▶ View Solution
   3. Cost for 8: $96 ▶ View Solution

8. Geometry Formulas:

   1. P = 3s ▶ View Solution
   2. P = 6h ▶ View Solution
   3. h = 10 cm ▶ View Solution (60 ÷ 6)

9. Number Machine:

   1. Rule in words: Subtract 5 from input ▶ View Solution
   2. y = x − 5 ▶ View Solution
   3. Input 150: Output = 145 ▶ View Solution

10. The Savings Pattern:

    1. After 3 weeks: $65 ▶ View Solution
    2. Rule: S = 5w + 50 ▶ View Solution or S = 50 + 5w
    3. After 10 weeks: $100 ▶ View Solution (5 × 10 + 50)