1 6.6 (A.21a) Inequality Word Problems.notebook 1 January 02, 2014 Dec 85:22 PM WarmUp Graph the following. 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 x y 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 x y Dec 85:22 PM Today's Agenda * WarmUp * Review Inequalities and Graphing Systems * 6.6 Inequality Word Problems * Classwork * Homework Dec 85:22 PM Buzz Words LESS THAN GREATER THAN no more than at least at most < > more than no fewer than Dec 85:22 PM 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! Dec 85:22 PM 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. Dec 85:22 PM 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.
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1 6.6 (A.21a) Inequality Word Problems.notebook
1
January 02, 2014
Dec 85:22 PM
WarmUp
Graph the following.
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
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5
6
x
y
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
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2
1
1
2
3
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x
y
Dec 85:22 PM
Today's Agenda
* WarmUp
* Review Inequalities and Graphing Systems
* 6.6 Inequality Word Problems
* Classwork
* Homework
Dec 85:22 PM
Buzz Words
LESS THAN GREATER THAN
no more than
at least
at most
<>more than
no fewer than
Dec 85:22 PM
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!
Dec 85:22 PM
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.
Dec 85:22 PM
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.
Dec 85:22 PM
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
Dec 85:22 PM
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.
Dec 85:22 PM
Graph the Inequality CHECK LIST:
Label the graph
Slopeintercept form
Graph the line
Boundary line Dashed? Solid?
Shading Above? Below?
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Dec 85:22 PM
Example #1 (continued)
What is one possible combination of pizza and soda that Tim could afford?
Dec 85:22 PM
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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January 02, 2014
Dec 85:22 PM
b. Graph the inequality.
c. What are 3 possible combinations of books and CDs that you could buy?
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Dec 85:22 PM
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.
Dec 85:22 PM
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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Dec 85:22 PM
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.
Dec 85:22 PM
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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Dec 85:22 PM
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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January 02, 2014
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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y
Dec 85:22 PM
Classwork
6.6 Linear Inequality Word Problems
Dec 85:22 PM
Classwork
Dec 85:22 PM
Classwork
Dec 85:22 PM
Classwork
Dec 85:22 PM
Classwork
1 6.6 (A.21a) Inequality Word Problems.notebook
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January 02, 2014
Dec 85:22 PM
Classwork
7.1 Systems of Equations (Graphing) Review
Dec 85:22 PM
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