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Name: ______________________________ Date: January 10, 2017 Homeroom: 7 th Grade Math: Unit: Expressions and Equations Packet 71: Inequality Word Problems Objectives: Scholars will be able to write and solve two-step inequalities from word problems. Agenda: 1. Review Do Now 6. Exit Ticket 2. Writing Inequalities from Word Problems 7. Homework Overview 3. Guided Practice 4. Independent Practice 5. Challenge Problems Homework 71: Inequality Word Problems Do Now: -2r + 6 > 18 2q + 5 < -5 k 5 +3 10 q 6 +8 12 1

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Name: ______________________________

Date: January 10, 2017

Homeroom:

7th Grade Math:Unit:

Expressions and Equations

Packet 71: Inequality Word

Problems

Objectives: Scholars will be able to write and solve two-step inequalities from word

problems. Agenda:

1. Review Do Now 6. Exit Ticket2. Writing Inequalities from Word

Problems7. Homework Overview

3. Guided Practice4. Independent Practice5. Challenge Problems Homework 71: Inequality Word

ProblemsDo Now:

-2r + 6 > 18 2q + 5 < -5

k5+3≥10 −q

6+8≤12

1

Writing Inequalities from Word ProblemsExample #1: Charity Walk

Pledge- a promise to give _________________

You are participating in an AIDS walk to raise money for AIDS research and prevention. You want to raise at least $500. You already have $175 by asking people to pledge $25 each. How many more $25 pledges do you need in order to at least meet your goal?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

2

Guided PracticeYou decide to get a job over winter break selling magazines. You earn $2 for every magazine subscription you sell plus a salary of $10 each week. How many subscriptions do you need to sell each week to earn at least $40 each week?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

3

The basketball team is trying to break the school record for most points scored in a season. The team has already scored 736 points this season. The record is 1076 points. With 10 games left in the season, how many points per game does your team need to average to break the record?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

4

Independent Practice1. Suppose the soccer team’s season goal record is 124 goals and your team

already scored 52 goals. With 12 games left in the season, how many goals, on average, does your team need to score per game to break the record?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

2. You have $8.00 to spend on school supplies. You need a notebook that costs $5.00 and pens that cost $0.50 each. Write an inequality that represents the number of pens that you could buy.

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

5

3. Mr. McClellan is having a mechanic fix his car. The mechanic said that the job was going to cost at least $375 for parts and labor (the hours a mechanic works). If the cost of parts was $150, and the mechanic charges $60 an hour, how many hours is the mechanic planning on working on the car?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

4. You want to buy some new DVDs and spend less than $75. A store advertises a sale where all DVDs are $15. Write and solve an inequality to find the number of DVDs you can buy.

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

Challenge Problems!6

Solve each inequality. Show your work and circle your answer.

1.) Graph:

2.) Graph:

3.) Graph:

4.) Graph:

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

7

Practice beyond Perfection-Turn in for Dollars!

8

Directions: Solve the following inequality word problems. Show all of your work and circle your final answer.

1. Harry has saved $400 to spend on a video game player and games. The player he wants costs $275. The games each cost $25. At most, how many games can he buy along with the player?

Step 1: Identify your keywords ________________________________________________

Step 2: What is your unknown? ________________________________________________

Step 3: Choose your variable _________________________________________________

Step 4: Pick Inequality Symbol ________________________________________________

Step 5: Write Inequality _______________________________________________________

Step 6: Solve Inequality

9

Name: ______________________________

Date: January 10, 2017

Homeroom:

Ms. Petrozzi: (614) 725-9693

7th Grade Math:Unit:

Expressions and Equations

Packet 71: Inequality Word

ProblemsRedo: Score: ________/5 _________%

DNG A B C D F

Directions: Solve the following inequalities. Show all of your work and circle your final answer. Graph each inequality.

4x + 1 > 5

7 ≥ 5x – 3

x2+6<−14

10

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

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Name: ______________________________

Date: January 10, 2017

Homeroom:

7th Grade Math:Unit:

Expressions and Equations

Packet 71: Inequality Word

Problems