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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. Which sequence follows the rule 'subtract 5 each time'? Starting term: 40

    Answer: 40, 35, 30, 25, 20

    Subtracting 5 each time: 40, 35, 30, 25, 20.

  2. The cost to rent a bicycle is $3 per hour plus a $5 flat fee. If Maria paid $20, how many hours did she rent the bicycle?

    Answer: 5

    Set up 3h + 5 = 20, subtract 5: 3h = 15, so h = 5.

  3. What is the value of the expression 2m² when m = 3?

    Answer: 18

    Substitute m = 3: 2 × 3² = 2 × 9 = 18.

  4. A number pattern increases by the same amount each step: 7, 13, 19, 25, ... What is the 8th term?

    Answer: 49

    The common difference is 6; the nth term = 6n + 1, so the 8th term = 48 + 1 = 49.

  5. If 4(x − 2) = 24, what is x?

    Answer: 8

    Divide both sides by 4: x − 2 = 6, then add 2: x = 8.

  6. Which of the following is a geometric sequence?

    Answer: 3, 6, 12, 24, 48

    A geometric sequence has a constant ratio; 3×2=6, 6×2=12, 12×2=24, 24×2=48.

  7. If y = −3x + 10 and y = 1, what is x?

    Answer: 3

    Substitute y = 1: 1 = −3x + 10, so 3x = 9, giving x = 3.