1 6.6 (A.21a) Inequality Word Problems.notebook
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WarmUp
Graph the following.
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Today's Agenda
* WarmUp
* Review Inequalities and Graphing Systems
* 6.6 Inequality Word Problems
* Classwork
* Homework
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Buzz Words
LESS THAN GREATER THAN
no more than
at least
at most
<>more than
no fewer than
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Do You Remember?
Solve for y. Solve for y.
REMEMBER the TRICK
If you MULTIPLY or DIVIDE by a negative number, you MUST SWITCH the inequality sign!
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6.6 Solving Inequality Word Problems
Benchmark: A.21a Solve linear inequality word problems by graphing.
Goals:
Write linear inequalities given a real life situation.
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Example #1
Tim wants to take his team out for pizza. A large pizza costs $15 and a pitcher of soda costs $5. Tim wants to spend no more than $45.
a. Write an inequality to represent this situation.
1 6.6 (A.21a) Inequality Word Problems.notebook
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January 02, 2014
Dec 85:22 PM
Graphing Linear Inequalities
STEP 1: Write the inequality in slopeintercept form.
Solve for y.
STEP 2: Graph the line.
BEGIN with the yintercept, b, and MOVE with the slope, m.
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Graphing Linear Inequalities
STEP 3: Determine whether the boundary line is solid or dashed.
DASHED
SOLID
STEP 4: Determine which region should be shaded.
BELOW the boundary line
ABOVE the boundary line
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How to Check Your Graph
AFTER you graph and shade your inequality...
Substitute (0 , 0) into your ORIGINAL inequality.
If you get a TRUE statement (0 , 0) should be shaded.
If you get a FALSE statement (0 , 0) should NOT be shaded.
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Graph the Inequality CHECK LIST:
Label the graph
Slopeintercept form
Graph the line
Boundary line Dashed? Solid?
Shading Above? Below?
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Example #1 (continued)
What is one possible combination of pizza and soda that Tim could afford?
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Example #2
Suppose you have at most $80 to spend at a music and book store. You want to buy books for $8 each and CDs for $10 each. You want to buy some books and some CDs.
a. Write an inequality to represent this situation.
1 6.6 (A.21a) Inequality Word Problems.notebook
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b. Graph the inequality.
c. What are 3 possible combinations of books and CDs that you could buy?
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Example #3
Tom wants to buy some toy trains and dolls for his kids. A train costs $8 and a doll costs $6, but he doesn't want to spend more than $48.
a. Write an inequality to represent this situation.
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b. Graph the inequality.
c. What does the point (4 , 8) represent in this situation? Is it a possible solution?Explain.
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Example #4
Sue wants to buy shirts and jeans. A shirt costs $25 and jeans cost $50, but she doesn't want to spend more than $250.
a. Write an inequality to represent this situation.
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b. Graph the inequality.
c. What does the point (5 , 2) represent in this situation? Is it a possible solution?Explain.
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Example #5
Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets cost $5 and earrings cost $8. She wants to make at least $40.
a. Write an inequality to represent this situation.
1 6.6 (A.21a) Inequality Word Problems.notebook
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Dec 85:22 PM
b. Graph the inequality.
c. What does the point (1 , 7) represent in this situation? Is it a possible solution?Explain.
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Classwork
6.6 Linear Inequality Word Problems
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Classwork
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Classwork
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Classwork
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Classwork
1 6.6 (A.21a) Inequality Word Problems.notebook
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Classwork
7.1 Systems of Equations (Graphing) Review
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I You a Question
Topic Graphing Linear Inequalities
Please solve the question on your Ticket Out the Door.
On the back of your paper Stoplight Self Assessment
Green I can do this!
Yellow I'm getting there!
Red I need help!
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Almost Finished
Take out your agenda copy down due dates
* Quizzes
* Tests
Homework
***Finish Classwork
Do NOT pack up until you are told to do so!