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Grades 6, 7 and 8 - Math - Middle School - Algebra - Trial and Improvement
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Avg score: 66% • Most missed: “When you work out the equation using your guessed value, you find that your valu…”

Trial and Improvement involves intelligent guesswork. We use this method in algebra to work out the value of a letter when there is no obvious other way.
 

Grades 6, 7 and 8 - Math - Middle School - Algebra - Trial and Improvement
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10 Questions

1. 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?
2. 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?
3. When you work out the equation using your guessed value, you find that your value is too high so what do you do next?
4. After you have made an intelligent guess at the value of x what do you do next?
5. 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?
6. x2 + 4x + 7 = 14x - 9, which of the following is a possible value of x?
7. 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?
8. After you have put your guessed value into the equation in place of x what do you do next?
9. 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?
10. x3 - 2x = 115, what is the value of x?

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