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Algebra and Patterns Flashcards

7 cards from real ICAS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Algebra and Patterns flashcards as text

  1. A shop charges $4 per item plus a $6 delivery fee. Which equation represents the total cost C for n items?

    Answer: C = 4n + 6

    The total is $4 multiplied by the number of items plus the fixed $6 fee: C = 4n + 6.

  2. What is the missing term in the pattern: 2, 6, 18, __, 162?

    Answer: 54

    Each term is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162.

  3. If y = 2x − 7 and x = 5, what is y?

    Answer: 3

    Substitute x = 5: y = 2(5) − 7 = 10 − 7 = 3.

  4. A pattern of triangles is built with toothpicks: 1 triangle uses 3, 2 triangles share a side and use 5, 3 use 7. How many toothpicks are needed for 8 triangles?

    Answer: 17

    The rule is T = 2n + 1, so for n = 8: T = 16 + 1 = 17.

  5. Which expression has the same value as 4x + 2x − 3 + 5?

    Answer: 6x + 2

    Combine like terms: 4x + 2x = 6x and −3 + 5 = 2, giving 6x + 2.

  6. The rule for a function is f(x) = x² + 3. What is f(4)?

    Answer: 19

    Substitute x = 4: f(4) = 4² + 3 = 16 + 3 = 19.

  7. If 3a + 7 = 28, what is 2a?

    Answer: 14

    Subtract 7: 3a = 21, so a = 7, and 2a = 14.