Examplary
Start for free
Oak MathsTest · Maths

Advanced problem solving with linear inequalities

The starter and exit quiz of the lesson “Advanced 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. 5x+15y=1200 is an equation whereas 5x+15y<1200 is an ___.
  2. (5,2) is the point of ___ of these two linear equations.
  3. A young person starts with £50 savings and then saves £15 per week. Which inequality represents the time when they will have more than £500 in savings?
  4. Which of these values satisfy this inequality? {8x+12y}\le{480}
  5. Which of these values satisfy both of these inequalities simultaneously? y>2x+3 and y<12
  6. Which of these values satisfy both of these inequalities simultaneously? y>2x+3 and y\le12-x
  7. These inequalities model a company's packaging and production constraints. The values (15,20) satisfy both inequalities __________.
  8. These inequalities model a company's packaging and production constraints. Which of these points satisfies the production constraint but not the packaging constraint?
  9. These inequalities model a company's packaging and production constraints. Which of these points satisfy both the production and the packaging constraints?
  10. These inequalities model a company's packaging and production constraints. Which coordinate pair is the point where both production and packaging are optimised? ___
  11. This model has three constraints. x represents the number of standard games produced, y the number of deluxe ones. What is the maximum number of games that can be made? ___
  12. This model has three constraints. x = standard games, making £4 profit. y = deluxe games, making £9 profit. What is the maximum profit achievable? £___

License: OGL

Advanced problem solving with linear inequalities · Examplary