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Lesson 10-6 solving inequalities by adding or subtracting

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

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Lesson 10-6 solving inequalities by adding or subtracting

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  1. Lesson 10-6 solving inequalities by adding or subtracting SWBAT solve inequalities through addition and subtraction

  2. Transparency 6 Click the mouse button or press the Space Bar to display the answers.

  3. Transparency 6a

  4. 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

  5. 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.

  6. 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.

  7. Lesson 6 Contents Example 1Solve an Inequality Using Addition Example 2Solve an Inequality Using Subtraction Example 3Graph the Solutions of an Inequality Example 4Use an Inequality to Solve a Problem

  8. Solve Check your solution. Answer: Any number greater than 10 will make the statement true, so the solution is Example 6-1a Write the inequality. Add 4 to each side. Simplify. Check Write the inequality. Replace n with a number greater than 10, such as 11. The statement is true.

  9. Example 6-1b Solve Check your solution. Answer:

  10. Answer: The solution is Example 6-2a Solve Check your solution. Write the inequality. Subtract 8 from each side. Simplify. Check Replace x in the original inequality with –15 and then with a number less than –15.

  11. Example 6-2b Solve Check your solution. Answer:

  12. Then graph the solution on a number line. Solve The solution is Graph the solution. Example 6-3a

  13. Place an open circle at Draw a line and an arrow to the left. Example 6-3a Answer:

  14. Example 6-3b Solve Then graph the solution on a number line. Answer:

  15. Example 6-4a TOWING COMPANYA 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.

  16. must be less than or equal to 4,700 pounds current weight weight added plus 3,525 4,700 + w Example 6-4a 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. Words Variable Inequality

  17. Example 6-4a Write the inequality. Subtract 3,525 from each side. Simplify. Answer: Up to 1,175 more pounds can be added to the trailer.

  18. Example 6-4b SPORTSA 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.

  19. Homework • SGI workbook page 79, lesson 10-6

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