Warm Up Put your HW and tracking sheet on the corner of your desk. Solve and graph. 1.r - (-5) < 2 2. -8m < 64 3. 3 < 0.5h Write an inequality: 4. Twelve.

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Presentation transcript:

Warm Up Put your HW and tracking sheet on the corner of your desk. Solve and graph. 1.r - (-5) < m < < 0.5h Write an inequality: 4. Twelve is at most the difference of number and 7.

Solving Multi-Step Inequalities

Question to Think About: You would like to earn at least 85 in Algebra for the quarter, because that would be a B. You have earned test grades of 75, 88, and 82 so far. What test grade must you earn on your fourth test to ensure that you will earn the grade you want? Write your hypothesis on the top corner of your notes.

Process Solve multi-step inequalities the same way that you would solve multi-step equations Your answer should have the variable on the left Don’t forget to flip the inequality symbol when you multiply or divide by a negative number!

Example #1 -7b + 19 < -16

Example #2

Example #3 3k – 18 > 4 + 5k

Example #4 -5x + 2(x – 4) > 13

Special Case: y < 2(y – 2)

So back to our problem from the beginning of class: You would like to earn at least 85 in Algebra for the quarter, because that would be a B. You have earned test grades of 75, 88, and 82 so far. What test grade must you earn on your fourth test to ensure that you will earn the grade you want?

Word Problem #1 You want to make a banner that is 18 feet long. You have no more than 48 feet of trim for the banner. What are the possible widths of the banner?

Word Problem #2 Your cell phone plan costs $39.99 per month plus $.15 for each text message you send or receive. You have at most $45 to spend on your cell phone bill this month. What is the maximum number of text message you can send or receive?

Word Problem #3 To earn a B in this class, you must achieve a test average of at least 86. You scored 86, 85, and 80 on the first three tests. What possible scores can you earn on the fourth and final test to earn a B in the course?

Whiteboards When I put a problem up on the screen, you solve the problem on your whiteboard. When I tell you to, you will hold up your white board!

Solve and graph 3x – 4 > 17

Solve and graph 10 – 8a ≥ 2(5 – 4 a)

Solve and graph 6m – 5 > 7m + 7 – m

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22 ≥ 5(x – 2) – 3x

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A friend needs at least $125 to go on the class trip. He has saved $45. He makes $20 for each lawn he mows. How many lawns does he need to mow to go on the trip?

–3x +15 ≥4(x –2)

–2 +2x≤–14

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Homework Workbook p #1-19 ODD, 21, 22

Exit Ticket 1. On a separate sheet of paper, solve the following inequality and graph your solution on a number line: -6(x + 1) < 2(x + 5) 2. Write one thing that you learned today. 3.