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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. Which of the following pairs of terms are like terms?

    Answer: 3xy and 7xy

    Like terms must have the same variable(s) and exponent(s); 3xy and 7xy both have xy.

  2. Solve the inequality 2x − 1 > 7.

    Answer: x > 4

    2x > 8, so x > 4.

  3. The sum of two consecutive integers is 47. What is the smaller integer?

    Answer: 23

    Let the integers be n and n+1; n + n + 1 = 47 gives n = 23.

  4. Simplify: 4m − 3n + 2m + 5n.

    Answer: 6m + 2n

    Combine like terms: (4m + 2m) + (−3n + 5n) = 6m + 2n.

  5. If p = 2 and q = −3, find the value of p² − 2pq.

    Answer: 16

    p² − 2pq = 4 − 2(2)(−3) = 4 + 12 = 16.

  6. Factorise: x² − 5x + 6.

    Answer: (x − 2)(x − 3)

    Find two numbers that multiply to 6 and add to −5: −2 and −3 give (x − 2)(x − 3).

  7. What is the degree of the polynomial 4x³ − 2x + 7?

    Answer: 3

    The degree is the highest exponent, which is 3 in 4x³.