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. Factorise completely: 6x² + 9x.

    Answer: 3x(2x + 3)

    The HCF of 6x² and 9x is 3x, giving 3x(2x + 3).

  2. If 3(m + 2) = 21, what is the value of m?

    Answer: 5

    m + 2 = 7, so m = 5.

  3. Which expression is equivalent to (x + 3)(x − 3)?

    Answer: x² − 9

    Using difference of two squares: (x + 3)(x − 3) = x² − 9.

  4. Two less than three times a number equals 13. What is the number?

    Answer: 5

    3n − 2 = 13, so 3n = 15 and n = 5.

  5. Simplify: (5x³y²) ÷ (x²y).

    Answer: 5xy

    Subtract exponents: x³÷x² = x and y²÷y = y, giving 5xy.

  6. What value of x satisfies 2x + 7 = 15?

    Answer: 4

    2x = 15 − 7 = 8, so x = 4.

  7. Expand and simplify: (2x + 1)².

    Answer: 4x² + 4x + 1

    (2x + 1)² = 4x² + 2(2x)(1) + 1 = 4x² + 4x + 1.