Practice Test Geeks(BECE) Basic Education Certificate Examination Practice Test
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Algebraic Expressions and Equations Flashcards

7 cards from real BECE 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 Expressions and Equations flashcards as text

  1. Solve the simultaneous equations: x + y = 10 and x − y = 4.

    Answer: x = 7, y = 3

    Adding the equations: 2x = 14, x = 7; substituting: y = 10 − 7 = 3.

  2. Which expression represents 'five more than twice a number k'?

    Answer: 2k + 5

    'Twice a number' is 2k; 'five more than' means add 5, giving 2k + 5.

  3. Simplify the algebraic fraction: (6x²y) / (3xy²).

    Answer: 2x/y

    6÷3 = 2, x²÷x = x, y÷y² = 1/y, giving 2x/y.

  4. A rectangle has length (2x + 3) and width x. Which expression gives its perimeter?

    Answer: 6x + 6

    Perimeter = 2(length + width) = 2(2x + 3 + x) = 2(3x + 3) = 6x + 6.

  5. If 4(x − 1) = 2(x + 5), what is x?

    Answer: 7

    4x − 4 = 2x + 10, so 2x = 14 and x = 7.

  6. What is the HCF of 12x²y and 8xy²?

    Answer: 4xy

    HCF of 12 and 8 is 4; lowest power of x is x¹; lowest power of y is y¹ → 4xy.

  7. Solve for t: (t − 2)/3 = 4.

    Answer: 14

    Multiply both sides by 3: t − 2 = 12, then t = 14.