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# writing algebra equations and solving mathematical problems

Find the price of a conference table you would like to buy.
If you need to buy 6 chairs additionally for the table and have a \$2000 budget, what is the highest price you can pay for a chair? (Ignore sales tax).
If x is the price of a chair what algebraic expression could be written to represent this problem?
Come up with an equation of your own that would relate to a practical situation. Explain the equation to the class.

### 1 Answer by Expert Tutors

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Sara;
\$2000≥(table)+6x
\$2000≥t+6x
Let's subtract the table from both sides of the equation...
-t+\$2000≥t+6x-t
-t+\$2000≥6x
Let's divide both sides by 6...
(-t+\$2000)/6≥(6x)/6
(-1/6)t+(\$2000/6)≥x
(-1/6)t+\$333≥x
The price of each chair must be equal to or less than negative one-sixth of the price of the table plus \$333.
If the table cost \$2000, there is no money remaining for chairs.