Level 5-6 Algebra - Trial and Improvement

1. You are given a value for x within an equation and told that you need to work out the answer by trial and improvement. What is the first thing you do?

   • Try to remember formulas that might help
   • Multiply x by six different numbers
   • Make an intelligent guess at the value of x
   • Move on to the next question

2. After you have made an intelligent guess at the value of x what do you do next?

   • Assume that you guessed correctly
   • Guess another value for x
   • Guess another three values for x
   • Put your guessed value into the equation in place of x

3. After you have put your guessed value into the equation in place of x what do you do next?

   • Work out the equation using your guessed value
   • Sing a hymn
   • Dance a jig
   • Recite a poem

4. When you work out the equation using your guessed value, you find that your value is too high so what do you do next?

   • Make another guess that is higher than your first
   • Make another guess that is lower than your first
   • Make three more guesses that are higher
   • Make three more guesses that are lower

5. You are told that Louise has some sisters and, within an equation, the number of sisters she has is represented by x. What would be a good first guess for the value of x?

   • 0
   • 2
   • 10
   • 20

6. Within an equation, the boiling point of a solution is represented by x. What would be a good first guess for the value of x?

   • 50 degrees C
   • 75 degrees C
   • 100 degrees C
   • 200 degrees C

7. You are told that the value of x lies somewhere between 300 and 400, and you are given an equation containing x. What would be a good first guess for x?

   • 301
   • 302
   • 350
   • 399

8. x² + x³ = 80, what is the value of x?

   • 2
   • 3
   • 4
   • 5

9. x³ - 2x = 115, what is the value of x?

   • 3
   • 5
   • 7
   • 9

10. x² + 4x + 7 = 14x - 9, which of the following is a possible value of x?

    • 3
    • 4
    • 6
    • 8

Quiz written by Colin King