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* The terminology "mindful algebraic calculation" is also referred to as "mindful manipulation" and "manipulation using structure" It is cited in the NY Next Generation Mathematics Standards. |
Let's take a look at some questions dealing with linear equations
that may require some creative thinking.
Remember that there may be more than one way to look at these problems,
and that only one method will be shared with you as a solution.
1. Solve for m: 0.5(5m + 73) = 2.5m + 36.5 |
2. If 3x + 5 = 15x + 2 - x - 8, then 4.5(x + 7) = _______. |
3. If 2x = 3y = 6z = 18, what is the value of x • y • z ? |
4. If 4g + 3h = 6h - 2g, express h in terms of g.
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5. Three consecutive odd integers are such that when six times the sum of the second and third is subtracted from five times the sum of the first and second, the result is 8. Find the product of the three consecutive odd integers.
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6. The Firemen's Field Days sells adult tickets for $10 and kid tickets for $5. How many kid tickets were sold if a total of 558 tickets were sold for a total of $3,800?
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The beauty of mathematics is the number of alternative ways
that can be employed to arrive at a solution.
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