MS Algebra A-REI-3 – Ch. 4.3 Multi-Step Inequalities ALGEBRA SUPPORT Apply Properties of Inequality to Solve Multi-Step Inequalities

SUPPORT Class Learning Target Title: 4.3 Multi-Step Inequalities Date: SUPPORT Class Learning Target By the end of the period, I will apply properties of inequality to solve multi-step inequalities. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 4.3 Pg. 205-206 3) Section ______ TxtBk. Prob. #9-17 Odd,35-39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

4 – 2m > 7 – 3m -10p > 6p - 8 9) 11) HOMEWORK Solve the inequality and graph your solution. 9) 11) 4 – 2m > 7 – 3m -10p > 6p - 8

-2d – 2 < 1d + 8 3 3 2(w + 4) ≥ 3w - 7 13) 15) HOMEWORK Solve the inequality and graph your solution. 13) 15) -2d – 2 < 1d + 8 3 3 2(w + 4) ≥ 3w - 7

Step 1: -4(2x – 3) < 28 Step 2: -8x – 12 < 28 Describe and correct the error in solving the inequality. HOMEWORK 17) Step 1: -4(2x – 3) < 28 Step 2: -8x – 12 < 28 Step 3: -8x < 40 Step 4: x > -5 The error in solving the inequality happens when __________ _________________________________________________. I can correct the error by _____________________________

+c +c −c −c c c −c −c ¿¿ c c −c −c ?? Properties of Inequality (P.O.I.) +c +c −c −c c c −c −c ¿¿ c c −c −c ??

HW # 35 Write and solve the inequality to find the possible values of x. Graph your solution. Area ≥ 44 cm2 8 cm (x + 1) cm A = ½ bh

HW # 36 Write and solve the inequality to find the possible values of P. Graph your solution. You have $15 to spend on a notebook and pens. A notebook costs $2 and each pen costs $0.75. Let P represent the possible number of pens that you can buy.

HW # 37 Write and solve the inequality to find the possible values of T. Graph your solution. A fish tank holds 60 gallons of water. To do a partial water change, you use a pump that removes water at a rate of 5 gallons per minute. You want to remove no more than 25% of the water. Let T represent the possible amounts of time (in minutes) that the pump runs.

HW # 38 Write and solve the inequality to find the possible values of T. Graph your solution. While taking a trip, a family wants to drive at least 500 miles today. So far today the family has traveled 120 miles at an average speed of 50 miles per hour. Let T represent the possible amounts of time (in hours) that the family will continue to drive today.

HW # 39 Write and solve the inequality to find the possible solutions. Graph your solution. A blank CD can hold 70 minutes of music. So far you have burned 25 minutes of music onto the CD. You estimate that each song lasts 4 minutes. What are the possible numbers of additional songs that you can burn onto the CD?

Storm Check (Think, Write, Discuss, Report) When you use the division property of inequality, what happens when you divide by a negative number? When I divide an inequality by a negative number, ___________________________________________ __________________________________________.

Title: 4.3 Multi-Step Inequalities Date: Learning Target By the end of the period, I will apply properties of inequality to solve multi-step inequalities. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 4.3 Pg. 205-206 3) Section ______ TxtBk. Prob. #9-17 Odd,35-39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Vocabulary Addition Property of Inequality (P.O.I.) Subtraction P.O.I. Multiplication P.O.I. Division P.O.I. by a Positive(+) Number / by a Negative (-) Number

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

SUPPORT Class Learning Target Title: 4.3 Multi-Step Inequalities Date: SUPPORT Class Learning Target By the end of the period, I will apply properties of inequality to solve multi-step inequalities. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 4.3 Pg. 205-206 3) Section ______ TxtBk. Prob. #9-17 Odd,35-39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Ticket OUT. You spend $108 on supplies to make picture frames and plan to sell the picture frames for $11 each. What are the possible numbers of picture frames that you can sell in order for your profit to be positive? at least 9 at least 10 Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you. at most 10 at most 9

Ticket OUT. You spend $108 on supplies to make picture frames and plan to sell the picture frames for $11 each. What are the possible numbers of picture frames that you can sell in order for your profit to be positive? at least 9 at least 10 ANSWER B Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you. at most 10 at most 9