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Algebraic Reasoning Flashcards

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

Read the first 7 Algebraic Reasoning flashcards as text

  1. If 3x + 5 = 20, what is the value of x?

    Answer: 5

    Subtracting 5 from both sides gives 3x = 15, then dividing by 3 gives x = 5.

  2. Which expression represents '7 less than 4 times a number n'?

    Answer: 4n - 7

    '4 times a number n' is 4n, and '7 less than' means subtract 7 from it, giving 4n - 7.

  3. What is the value of 3² + 4 × 2 - 6 ÷ 3?

    Answer: 15

    Using order of operations: 3² = 9, then 4×2 = 8 and 6÷3 = 2, giving 9 + 8 - 2 = 15.

  4. If f(x) = 2x - 3, what is f(4)?

    Answer: 5

    Substituting x = 4: f(4) = 2(4) - 3 = 8 - 3 = 5.

  5. Which inequality represents 'a number x is at least 12'?

    Answer: x ≥ 12

    'At least 12' means x can equal 12 or be greater, which is written as x ≥ 12.

  6. What is the next term in the arithmetic sequence: 2, 5, 8, 11, ___?

    Answer: 14

    Each term increases by 3 (the common difference is 3), so 11 + 3 = 14.

  7. Which of the following is a variable expression?

    Answer: 5n + 2

    5n + 2 contains the variable n, making it a variable expression; the others consist only of numbers.

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