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O-Level E-Maths Equations and Inequalities quiz (SEAB 4052) quiz

14questions. Pick an answer and you'll see why right away.

  1. Solve 3xβˆ’7=113x - 7 = 11.

  2. Solve x2+x3=5\dfrac{x}{2} + \dfrac{x}{3} = 5.

  3. Solve the simultaneous equations 2x+y=72x + y = 7 and xβˆ’y=2x - y = 2.

  4. Solve the inequality βˆ’3x>12-3x > 12.

  5. List the integer values of xx that satisfy βˆ’2≀x<3-2 \le x < 3.

  6. Solve x2βˆ’7x+12=0x^2 - 7x + 12 = 0 by factorisation.

  7. Solve 2x2=8x2x^2 = 8x.

  8. Using the quadratic formula, solve x2+6x+4=0x^2 + 6x + 4 = 0, giving answers to 2 decimal places.

  9. Express x2+6x+5x^2 + 6x + 5 in completed-square form.

  10. What is the minimum value of y=(x+3)2βˆ’4y = (x+3)^2 - 4, and at what value of xx does it occur?

  11. When solving an inequality, what must you do when dividing both sides by a negative number?

  12. A number is doubled and then 55 is added; the result is 1717. Form an equation and find the number.

  13. The length of a rectangle is 3Β cm3\ \text{cm} more than its width ww, and its area is 40Β cm240\ \text{cm}^2. Which equation models this?

  14. Solve x2βˆ’9=0x^2 - 9 = 0.