Cards (20)

    • What process must be performed when expanding brackets for the product of two expressions?
      Multiply each term
    • Collecting like terms in the expansion of (𝑥 + 2)(𝑥 + 3) results in 𝑥! + 5𝑥 + 6.
      True
    • When expanding (𝑥 + 2)(𝑥 + 3), the result is 𝑥! + 3𝑥 + 2� + 6
    • Expanding (𝑞 + 1)(𝑞 + 2) results in 𝑞! + 3� + 2
    • What is the expanded form of 3(𝑝 + 3)(𝑝 + 2) after simplifying?
      3𝑝! + 15𝑝 + 18
    • (𝑞! + 3𝑞 + 2)(𝑞 + 3) expands to 𝑞" + 6𝑞! + 11𝑞 + 6.
      True
    • Steps to factorise a quadratic expression of the form 𝑎𝑥! + 𝑏𝑥 + 𝑐
      1️⃣ Calculate the product of 𝑎 × 𝑐.
      2️⃣ Find two factors of 𝑎 × 𝑐 that add up to 𝑏.
      3️⃣ Rewrite the expression, substituting 𝑏𝑥 with the two factors found.
      4️⃣ Factorise the first two terms and the last two terms of the rewritten expression.
      5️⃣ Simplify by taking out the common factor.
    • What is the reverse process of expanding brackets called?
      Factorising
    • When factorising 𝑥! + 5𝑥 + 6, the two factors of 𝑎 × 𝑐 that add up to 𝑏 are 3 and 2
    • (𝑥 + 2)(𝑥 + 3) is the factorised form of 𝑥! + 5𝑥 + 6.
      True
    • What is the second term in the first expression of (𝑥 + 2)(𝑥 + 3)?
      2
    • The common factor of both terms in the expression 4𝑥 + 24 is 4
    • (𝑥!𝑦")" simplifies to �*𝑦-
    • Given that 𝑠 = 𝑡!, express 𝑠&$ in terms of 𝑡
    • What is the simplified form of 𝑥' × 𝑥"?
      𝑥(
    • 𝑎&# = 1 is true for any non-zero number 𝑎.
      True
    • One rule for surds is that √𝑎𝑏 = √𝑎 × √𝑏
    • What are surds classified as?
      Irrational numbers
    • Rationalising the denominator involves eliminating irrational numbers from the denominator.
      True
    • What do you multiply the numerator and denominator by to rationalise a fraction of the form 𝑎 + √𝑏?
      𝑎 − √𝑏