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Oak MathsTest · Maths

Problem solving with linear equations

The starter and exit quiz of the lesson “Problem solving with linear equations”, from the unit “Solving linear equations” (Year 8 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. 4(7x-13) is an ___ for the perimeter of this square.
  2. Evaluate 2(3x-4)+2(5x+9) when x=6. The value of the expression is ___.
  3. Expand and simplify 2(6x-4)+2(x-7).
  4. The solution to the equation 4(7x-3)=128 is x=___.
  5. Solve 4x+7=8x-9.
  6. Laura thinks of a number. She multiplies it by 8 and subtracts 12. Her answer is 60. Laura's number is ___.
  7. The perimeter of this square is 80 units. You can find the value of x using the ___ 4(7x-8)=80.
  8. The perimeter of this square is 80 units. What is the value of x? x=___.
  9. Find the perimeter of this square. P=___.
  10. An electrician has a call-out fee of £120 and then charges an hourly rate for their work. For a six hour job they charge £480. Calculate their hourly rate.
  11. Sofia thinks of a number. She multiplies it by 6 and then subtracts 24. Sofia multiplies her original number by 4 and adds 6. She gets the same answer both times. Sofia's number is ___.
  12. Three children share 65 sweets. Lucas takes 5 more sweets than Jacob does. Izzy takes four times as many sweets as Jacob does. Jacob takes ___ sweets.

License: OGL

Problem solving with linear equations · Examplary