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Linear inequalities in context

The starter and exit quiz of the lesson “Linear inequalities in context”, 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. The solution to the inequality 3a-8 \le 7 is when a \le ___.
  2. Which of these satisfies the inequality 20 > 5(b-3) ?
  3. Which of these represents the inequality x<3 or x \ge 5 on a number line ?
  4. Which of these is the solution to the inequality 4 < 2x+2 < 10 ?
  5. The length of a rectangle is double its width. If the width is x which of these is an expression for the perimeter of the rectangle?
  6. Which of these is the solution to the inequality 2x+5 < x+8 < 3x+4 ?
  7. Match the inequalities to the written descriptions.
  8. Which of these represents positive numbers less than 10?
  9. Izzy wants her sofa to be a distance from her TV which is exactly 1.2 times the screen size. She can put her sofa a maximum of 2.4 metres from her TV. Which inequality represents the TV she can get?
  10. Izzy wants her sofa to be a distance from her TV which is exactly 1.2 times the screen size. She can put her sofa a maximum of 2.4 metres from her TV. What size TV screen can she buy?
  11. Sofia and Laura start with the same positive number. Sofia adds 1 then multiplies by 3. Laura multiplies by 2 then adds 5 and ends up with a larger number than Sofia. Which inequality represents this?
  12. Sofia and Laura start with the same positive number. Sofia adds 1 then multiplies by 3. Laura multiplies by 2 then adds 5 and ends up with a larger number than Sofia. What could their start value be?

License: OGL

Linear inequalities in context · Examplary