Definition

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Section 1.6
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Definition
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Evaluating a formula
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Solving for a variable
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Solving formulas

• Identify the letter being solved for
• Clear fractions or decimals if necessary.
• Use addition to get all the terms with the letter
  to be solved for on one side of the equation, and
  all other terms on the other side.
• Combine like terms, factor if necessary.
• Multiply or divide to solve for the letter.

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Translating Phrasesthat involve addition

• The sum of 2 and x 2 x
• 8 increased by 2 8 2
• 7 more than v v 7
• 6 greater than x x 6
• Exceeds L by 20 L 20

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Translating Phrasesthat involve subtraction

• The difference of 2 and y 2 - y
• c decreased by 2 c - 2
• 7 less than v v - 7
• 6 reduced by x 6 - x
• 20 less L 20 - L

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Translating Phrasesinvolving multiplication
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Translating Phrasesinvolving division
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Translating the following phrases
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Translating phrases
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Write expressions for the following
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Translating phrases
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Problem Solving

• Analyze the problem.
• Define your variables and form an equation.
• Solve or graph the equation
• Check the solution
• State the conclusion

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Translating into equations
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Solving Problems
Rent King charges 59.95 plus 0.45 per mile to
rent a van for the day. Use a graph to estimate
how far the van can be driven on a budget of
150. Then find the exact number of miles the car
can be driven for this amount.
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Example
Each salesperson at BigShot Appliances is paid a
weekly salary of 200 plus an 8 commission of
that persons sales for the week. If x is the
total sales and y is the total pay, find an
equation that relates y to x. Estimate the amount
of sales needed to produce a weekly salary of
790, then find the exact value.
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Example
Kinkies charges 2.25 to bind a book plus 5 cents
per page to copy. If x is the number of pages,
and y is the total cost, find an equation
relating y and x. If a report costs 5.20, use a
graph to estimate the number of pages, then find
the exact number of pages for to make a 5.20
book.
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Example
FedEx charges 46.25 for the first 10 lbs plus
1.25 for each additional pound to deliver
packages between 10 to 50 lbs. Find an equation
that gives the cost of delivering any package in
this range. Find the cost of a 45 lb
package. How large a package can you ship for 100
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