High School Maths Examples and Questions

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Answers − Substitution into Formulae − 2

  1.   What is the value of 7 + 2a2 when a = 6?

   7 + 2a2= 7 + 2(62)
     = 7 + (2 × 36)
     = 7 + 72
     = 79

  2.   What is the value of 2x2 + 3 when x = 60?

   2x2 + 3= 2(602) + 3
     = (2 × 3600) + 3
     = 7200 + 3
     = 7203

  3.   What is the value of 35 + 4y2 when y = −5?

   35 + 4y2= 35 + 4(−52)
     = 35 + (4 × 25)
     = 35 + 100
     = 135

  4.   What is the value of 10 + 3a2 + b when a = 4 and b = −7?

  5.   What is the value of 4 + x2y + z when x= −3, y = −7 and z = 6?

  6.   What is the value of 2a2 + 10ab − 3b2 when a = 7 and b = −3?

  7.   What is the value of 3a + 4a2 + 6b − b2 when a = 5 and b = 9?

  8.   What is the value of 9a + 2a2 + 20ab + 7b − b2 when a = 3 and b = 4?


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