Name: ______________________________

Date: January 4, 2017

Homeroom:

7th Grade Math:Unit:

Expressions and Equations

Packet 67: Introduction to

Inequalities

Objectives: Scholars will be able to write and graph simple inequalities.

Agenda:

1. Review Do Now 6. Independent Practice2. Quick Review! 7. Exit Ticket3. Inequality Symbols 8. Homework Overview4. Reading Inequalities5. Graphing Inequalities Homework 67: Introduction to

InequalitiesDo Now:

1. Solve the equation below to find the value of y.

−6=2 (3 y+6 )

A. y=−2

B. y=0

C. y=−3

D. y=3

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Quick Review!What does this expression mean? Write it out in words.

1. 3 > 1 __________________________________________________________________

Tell whether or not each statement is true or false.

2. 9 > 3 ____________________________

3. 7 < -2 ____________________________

Give any value for each variable that will make the statement true. Be creative!

4. x > 6 x = ___________

5. -3 < y y = ___________

Evaluate the expression when b = 5. Make sure you do one operation per step. Please show your work and circle your answer.

6. 12 – 2b 7. 6b ÷ 10 + b

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Inequality SymbolsTo ride the Tower of Terror at Disney’s MGM theme park, you must be at least 52 inches tall. Some students’ heights are listed below. Circle the heights of the students who will be able to ride the Tower of Terror.

48 in. 52.00 in. 51.5 in. 60 in. 65 in.

You cannot use an equation to represent a situation like this because there is more than one value will “work.” In other words, a range of values will satisfy the situation.

You can express a range of values in math with an ______________________.

Reading InequalitiesNote: When you read an inequality, you always start with the variable. Write the words that explain how to read each inequality on the line.

1. 3 ≥ x Read as: __________________________________________________

2. 4 ≤ y Read as: __________________________________________________

3. b > -3 Read as: __________________________________________________

4. n < 0 Read as: __________________________________________________

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The Inequality Symbols and Definitions ___________________ _____________________________________

___________________ _____________________________________

Graphing InequalitiesNote: When you graph an inequality on a number line, you show the solution or the range values that make the statement true.

Note:

If the inequality has < or >, graph it with an OPEN CIRCLE If the inequality has ≤ or ≥, graph it with a CLOSED CIRCLE

Inequality Words Graphs

x < 3 All numbers less than 3

y > 2 All numbers greater than 2

z ≤ 4 All numbers less than or equal to 4

n ≥ 2 All numbers greater than or equal to 2

x < 1

n ≥ -2

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Independent PracticeDirections: Write the words that represent each inequality below and then graph it.

Inequality Words Graphs

x > 9

n ≤ 3

x < 2

n ≥ -1

Directions: Tell whether the given number is a solution of n > -5.

1. 8 __________ 2. -8 __________ 3. -4 __________ 4. 4 __________

5. Explain how the graph of x < 5 is different than x > 5.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Directions: Write the inequality represented by the graph.

Directions: Write the way to read each inequality on the line.

a. 2 ≤ y Read as: __________________________________________________

b. 7 ≥ x Read as: __________________________________________________

c. n < 1 Read as: __________________________________________________

d. b > -7 Read as: __________________________________________________

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–4 –3 –2 –1 0 1 2 3 4 5

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–4 –3 –2 –1 0 1 2 3 4 5

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10 20 30 40 50 60 70 80 90 100

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–8 –4 0 4 8 12 16 20 24 28

Review!

7

Practice beyond Perfection-Turn in for Dollars!

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1.) Write the words that represent each inequality below and then graph it.

Inequality Words Graph

a.) x 5 ____________________________

____________________________

b.) n 6 ____________________________

____________________________

c.) x 3 ____________________________

____________________________

d.) g –1 ____________________________

____________________________

e.) 4 m ____________________________

____________________________

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Name: ______________________________

Date: January 4, 2017

Homeroom:

Ms. Petrozzi: (614) 725-9693

7th Grade Math:Unit:

Expressions and Equations

Packet 67: Introduction to

InequalitiesAccepted Until: Score: ________/5 _________%

DNG A B C D F

2.) Tell whether the given number is a solution of –8 x. Write yes or no on the line.

a.) –8 __________ b.) 4 __________ c.) – 12 __________ d.) 0 ____________

3.) Write the inequality represented by the graph.

a.)

_________________________

b.)

_________________________

c.)

_________________________

d.)

_________________________

4.) Write the way you should read each inequality on the line.

a.) 5 x Read As: ________________________________________________

b.) 3 y Read As: ________________________________________________

c.) b –6 Read As: ________________________________________________

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–8 –4 0 4 8 12 16 20 24 28׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

–4 –3 –2 –1 0 1 2 3 4 5׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

–4 –3 –2 –1 0 1 2 3 4 5׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

10 20 30 40 50 60 70 ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀

d.) n 1Read As: ________________________________________________

Name: ______________________________

Date: January 4, 2017

Homeroom:

7th Grade Math:Unit:

Expressions and Equations

Packet 67: Introduction to

Inequalities

Directions: Answer the following questions. Circle your final answers. When you finish the exit ticket, place it face down on your desk and assign yourself to your advanced work or an independent reading book.

Directions: Fill in the table below. For each inequality, write the inequality in words and then graph the inequality.

Inequality Words Graphs

x > 6

n ≤ -1

x < 5

n ≥ -3

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