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Oak MathsTest · Maths

Problem solving with linear inequalities

The starter and exit quiz of the lesson “Problem solving with linear inequalities”, from the unit “Inequalities” (Year 11 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. 15x+25y=1500 is an equation whereas 15x+25y<1500 is an ___.
  2. Which of these is the point of intersection of these two linear equations?
  3. For the equation c=10+6m what is the value of c when m=9? c=___.
  4. Solve 5x<x+28.
  5. Which of these values satisfy this inequality? {3x+6y}\le{450}
  6. A taxi firm charge a fixed rate of £4 per journey plus £1.50 per mile travelled. The cost of your journey cannot exceed £16. Which inequality models this scenario?
  7. The graph shows the charges of three taxi firms. The coordinate pair (3,9) is the point of __________ of the graphs of taxi firms 'a' and 'b'.
  8. In what region does taxi firm 'a' charge less than taxi firm 'b'?
  9. In what region does taxi firm 'c' charge less than taxi firm 'a'?
  10. These inequalities model a company's packaging and production constraints. Which of these points satisfies the production constraint but not the packaging constraint?
  11. These inequalities model a company's packaging and production constraints. Which of these points satisfy both the production and the packaging constraints?
  12. These inequalities model a company's packaging and production constraints. Which coordinate pair is the point where both production and packaging are optimised? ___

License: OGL

Problem solving with linear inequalities · Examplary