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Accompanying the practice problems is a full answer key, which details the step-by-step factorisation process for each equation and the corresponding roots for variables, providing immediate feedback for self-assessment and mastery in secondary-level 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 ) = 0 | x =   or   |\n| --- | --- | --- | --- |\n| 2) | y2 – 15y + 14 = 0 |  |  |\n| 3) | z2 – 8z – 20 = 0 |  |  |\n| 4) | a2 – 7a – 30 = 0 |  |  |\n| 5) | b2 – 16b + 28 = 0 |  |  |\n| 6) | c2 + 15c – 34 = 0 |  |  |\n| 7) | d2 – 9d – 36 = 0 |  |  |\n| 8) | e2 – 10e + 25 = 0 |  |  |\n| 9) | f2 – 64 = 0 |  |  |\n| 10) | g2 – 11g – 42 = 0 |  |  |\n| 11) | h2 + 22h + 40 = 0 |  |  |\n| 12) | i2 – 14i – 32 = 0 |  |  |\n| 13) | j2 – 13j + 42 = 0 |  |  |\n| 14) | k2 + 3k – 54 = 0 |  |  |\n| 15) | m2 + 12m – 45 = 0 |  |  |\n| 16) | n2 – 13n + 40 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 8 ANSWERS  \n\n| 1) | x2 – 10x + 24 = 0 | (x – 6)(x – 4) = 0 | x = 4 or 6 |\n| --- | --- | --- | --- |\n| 2) | y2 – 15y + 14 = 0 | (y – 14)(y – 1) = 0 | y = 1 or 14 |\n| 3) | z2 – 8z – 20 = 0 | (z – 10)(z + 2) = 0 | z = 10 or-2 |\n| 4) | a2 – 7a – 30 = 0 | (a – 10)(a + 3) = 0 | a = 10 or-3 |\n| 5) | b2 – 16b + 28 = 0 | (b – 14)(b – 2) = 0 | b = 2 or 14 |\n| 6) | c2 + 15c – 34 = 0 | (c + 17)(c – 2) = 0 | c = -17 or 2 |\n| 7) | d2 – 9d – 36 = 0 | (d – 12)(d + 3) = 0 | d = 12 or-3 |\n| 8) | e2 – 10e + 25 = 0 | (e – 5)(e – 5) = 0 or (e – 5)2 = 0 | e = 5 |\n| 9) | f2 – 64 = 0 | (f + 8)(f – 8) = 0 | f = 8 or-8 |\n| 10) | g2 – 11g – 42 = 0 | (g – 14)(g + 3) = 0 | g = 14 or-3 |\n| 11) | h2 + 22h + 40 = 0 | (h + 20)(h + 2) = 0 | h = -20 or-2 |\n| 12) | i2 – 14i – 32 = 0 | (i – 16)(i + 2) = 0 | i = 16 or-2 |\n| 13) | j2 – 13j + 42 = 0 | (j – 7)(j – 6) = 0 | j = 6 or 7 |\n| 14) | k2 + 3k – 54 = 0 | (k + 9)(k – 6) = 0 | k = -9 or 6 |\n| 15) | m2 + 12m – 45 = 0 | (m + 15)(m – 3) = 0 | m = -15 or 3 |\n| 16) | n2 – 13n + 40 = 0 | (n – 8)(n – 5) = 0 | n = 5 or 8 |","cbCaitmZFmMfprc1","https://ap.wps.com/l/cbCaitmZFmMfprc1","pdf",140461,"English","# Practice Problems\n## Quadratic Equations List\n# Answer Key\n## Solutions to Equations","[{\"question\":\"What is the objective of this worksheet?\",\"answer\":\"The primary objective is to practice factorising sixteen different quadratic equations and determining their roots.\"},{\"question\":\"Are there solutions provided for the practice problems?\",\"answer\":\"Yes, the document includes a comprehensive answer key that lists the factorised form and the solved values for all sixteen equations.\"},{\"question\":\"What is the specific method shown for solving these equations?\",\"answer\":\"The worksheet demonstrates the standard method of factorising quadratic expressions into two binomial factors set to zero to solve for the unknown variable.\"}]","Factorising Quadratic Equations - Sheet 8 | PDF",1792674278]