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Solving simultaneous linear equations by substitution

The starter and exit quiz of the lesson “Solving simultaneous linear equations by substitution”, from the unit “Simultaneous equations: 2 variables” (Year 10 Maths) by Oak National Academy.

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12 questions

  1. Which multiplier would match the y coefficients for equations 1) 15x + 2y = a and 2) 2x + 6y = b:
  2. Which multiplier would match the y coefficients for equations 1) 12x + 8y = a and 2) 2x + y = b:
  3. Which multiplier would match the y coefficients for equations 1) 3x + 4y = a and 2) 6x + 12y = b:
  4. What is the value of y for simultaneous equations 2x + 8y = 14 and 2x + 3y = -1
  5. What is the value of y for simultaneous equations 3x + 4y = 10 and 8x + 8y = 16
  6. What is the value of x for simultaneous equations 9x + 9y = 63 and 2x + y = 9
  7. Using substitution, what is the value of x for simultaneous equations 3x + 2y = 16 and x + 3y = 17?
  8. Using substitution, what is the value of x for simultaneous equations 3x + 2y = 32 and x + 3y = 34?
  9. Using substitution, what is the value of y for simultaneous equations 5x + 4y = 28 and x + 3y = 10?
  10. Using substitution, what is the value of y for simultaneous equations 7x + 2y = 3 and 2x + y = 3?
  11. Using substitution, what is the value of y for simultaneous equations 7x + 2y = 36 and 2x + y = 15?
  12. Using substitution, what is the value of y for simultaneous equations 2y - 2x = -2 and 3x + y = 19?

License: OGL

Solving simultaneous linear equations by substitution · Examplary