lesson 10-6 solving inequalities by adding or subtracting
DESCRIPTION
Lesson 10-6 solving inequalities by adding or subtracting. SWBAT solve inequalities through addition and subtraction. Transparency 6. Click the mouse button or press the Space Bar to display the answers. Transparency 6a. Agenda. 5 minute check - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/1.jpg)
Lesson 10-6 solving inequalities by adding or subtracting
SWBAT solve inequalities through addition and subtraction
![Page 2: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/2.jpg)
Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
![Page 3: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/3.jpg)
![Page 4: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/4.jpg)
Agenda
• 5 minute check
• Get back the reading to learn math worksheet, place in notes section
• Ms Swartz checks that you did the homework
• You check your homework
• Lesson
• homework
![Page 5: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/5.jpg)
Remember
• 2 warnings now = note home.
NEW TIMER GOAL: 15 seconds or under (INEQUALITY, YAY) means 1 bonus point added to the quiz. 10 seconds or under means 2 bonus points added to the quiz. 5 seconds or under means 3 bonus points added to the quiz. If you get any warnings or a note home you don’t get bonus points.
![Page 6: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/6.jpg)
To solve inequalities using addition and subtraction
• Its just like solving equations with addition and subtraction
• You want to get the variable by itself
• What you do to one side of the inequality, you do to the other side
• The inequality sign stays the same
• The only thing that is different is checking the inequality.
![Page 7: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/7.jpg)
Example 1 Solve an Inequality Using Addition
Example 2 Solve an Inequality Using Subtraction
Example 3 Graph the Solutions of an Inequality
Example 4 Use an Inequality to Solve a Problem
![Page 8: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/8.jpg)
Write the inequality.
Simplify.
Add 4 to each side.
Replace n with a number greater than 10, such as 11.
Write the inequality.Check
The statement is true.
Answer: Any number greater than 10 will make the statement true, so the solution is
Check your solution.Solve
![Page 9: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/9.jpg)
Check your solution.
Answer:
Solve
![Page 10: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/10.jpg)
Check your solution.Write the inequality.
Simplify.
Subtract 8 from each side.
Check Replace x in the original inequality with –15 and then with a number less than –15.
Answer: The solution is
Solve
![Page 11: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/11.jpg)
Check your solution.
Answer:
Solve
![Page 12: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/12.jpg)
The solution is Graph the solution.
Then graph the solution on a
number line.
Solve
![Page 13: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/13.jpg)
Answer:
Place an open circle at Draw a line and an arrow to the left.
![Page 14: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/14.jpg)
Answer:
Solve Then graph the solution on a
number line.
![Page 15: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/15.jpg)
TOWING COMPANY A pickup truck is towing a trailer that weighs 3,525 pounds. The maximum towing capacity of the truck is 4,700 pounds. Determine how much more weight can be added to the trailer and still be towed by the truck.
![Page 16: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/16.jpg)
Words
Variable
Inequality
The phrase maximum capacity means less than or equal to. So, the current weight being towed plus any more weight must be less than or equal to 4,700 pounds.
3,525 + w 4,700
current weight plus
weight added
must be less than or
equal to4,700
pounds
![Page 17: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/17.jpg)
Answer: Up to 1,175 more pounds can be added to the trailer.
Write the inequality.
Simplify.
Subtract 3,525 from each side.
![Page 18: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/18.jpg)
SPORTS A weightlifter can lift up to 375 pounds. He is currently lifting 255 pounds. Determine how much more weight can be added and still be lifted by the weightlifter.
Answer: Up to 120 more pounds can be added.
![Page 19: Lesson 10-6 solving inequalities by adding or subtracting](https://reader036.vdocuments.us/reader036/viewer/2022062304/568138d7550346895da090d7/html5/thumbnails/19.jpg)
Homework
• SGI workbook page 79, lesson 10-6