Lesson 17 Writing Equations

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Lesson 1-7 Writing Equations
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Main Idea
Write algebraic equations from verbal sentences
and problem situations.
Targeted TEKS
The student makes connections among various
representations of a numerical relationship.  
The student is expected to generate a different
representation of data given another
representation of data  (such as a table, graph,
equation, or verbal description).
Vocabulary
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PARTY PLANNING 
It costs 8 per guest to hold a birthday party at
a skating rink.
What is the relationship between the number of
guests and the cost?
The cost is equal to 8 times the number of guests.
Write an expression representing the cost of a
party with g guests
8 g or 8g
What does the equation                     
represent in this situation?
The number of guests times 8 per guest is a
party cost of 120
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An  equation is a mathematical sentence
containing an equals sign (). An important skill
in algebra is modeling situations using equations
To translate your verbal model, look for common
words or phrases that suggest one of the four
operations
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Write an Algebraic Equation
GAMES Eduardo had a score of 150 points in the
first round of a game. His final score after two
rounds was 75 points. Write an equation to find
his second round score.
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Lesson 1-9 Solving Addition and Subtraction
Equations
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Addition and subtraction are called inverse
operations because they "undo" each other. For
this reason, you can use the Addition Property of
Equality to solve subtraction equations like x -
7 -5.
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Solve an Addition Equation
GEOMETRY 
Two angles are supplementary if the sum of their
measures is 180. The two angles shown are
supplementary. Write and solve an equation to
find the measure of angle X.
The measure of angle X is 86.
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Solve a Subtraction Equation
Solve -6 y - 7.
Use the vertical method.
Use the horizontal method.
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Lesson 1-10 Solving Multiplication and Division
Equations
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Lesson 10-2 Solving Two-Step Equations
Solve                         .
Vertical method
Horizontal method
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Combine Like Terms First
Solve                                  . Check
your solution.
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