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M A N E U V E R I N G T H E M I D D L E .C O M

PA G E T W O

PAGE TOPIC RESOURCE4 Sample Pacing Guide

5-6 Ideas for Implementation & Helpful Hints

7-16 Binder Covers, Dividers, and Spine Labels

17-18 Intro to Inequalities Student Handout 1

19 Intro to Inequalities Homework 1

21-22 Solving One-Step Inequalities Student Handout 2

23 Solving One-Step Inequalities Homework 2

25-26 Solving Two-Step Inequalities Student Handout 3

27 Solving Two-Step Inequalities Homework 3

29 Inequalities Quiz Quiz 1

31-32 Writing Inequalities Student Handout 4

33 Writing Inequalities Homework 4

35-36 Solving Inequalities in Real Life Student Handout 5

37 Solving Inequalities in Real Life Homework 5

39-46 Inequalities Unit Study Guide Study Guide

47-48 Inequalities Unit Test Test

INEQUALITIES UNITTable of Contents

©Maneuvering the Middle LLC, 2016

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

Intro to Inequalities Solving One-Step Inequalities

Solving Two-Step Inequalities

Inequalities Quiz Writing Inequalities

Student Handout 1Homework 1



Quiz 1 Student Handout 4Homework 4

DAY 6 DAY 7 DAY 8 NOTES

Solving Inequalities in Real Life

Inequalities UnitStudy Guide

Inequalities Unit Test


Unit Study Guide Unit Test


INEQUALITIESPACING GUIDE

*NOTE: This file has been organized for double-sided printing. Any blank pages were left so intentionally to make printing easy.

Ideas for Implementation: This bundle has all of the notes, homework, quizzes, and tests to make your life easier and help your students to be successful with inequalities. A sample pacing guide is included for those of you who do not have a district scope and sequence or if it is very general. Additionally, an answer key is included.

If you notice any discrepancies in the documents or have any questions, please email me at: [email protected].

STANDARDS7.EE.4 Use variables to represent quantities in a real-world or mathematical problems, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

• 7.EE.4B Solve word problems leading to inequalities of the form px + q> r or px +q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

INEQUALITIESStudent Handouts


HELPFUL HINTS

A few ideas for organizing your curriculum and keeping things nice and neat:

Keep each unit in a separate binder and use the spine labels and covers to keep them looking nice and easy to find. I personally love 1.5” binders.


Student Handouts

BINDERS

I place my originals in page protectors in chronological order. Any extra copies from that lesson, I hole punch and place behind that page. When I need an extra or a student is missing something from weeeeeeeeks ago, I can simply pull out a copy.

PAGE PROTECTORS

I highlight the edges of my answer keys or if I am really good, print them on colored paper. It helps them to stand out and makes them easy to find on my desk, in a binder, by the document camera, etc. Plus, highlighter doesn’t show up if you make a copy.

ANSWER KEYS

Card stock in a page protector makes an awesome divider. When I set up my dividers, I include one for handouts, activities, assessments, and answer keys. Binder covers and spine labels have been included. J

CARD STOCK

Happy Teaching!

INEQUALITIES

©MANEUVERINGTHEMIDDLE,2016

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INEQUALITIES


U n i t F I V E : A N S W E R K E Y S


INEQUALITIES


U n i t F I V E : A C T I V I T I E S


INEQUALITIES


U n i t F I V E : A S S E S S M E N T S

1. k + 8 ≥ 19, if k = 11 2. 12 > f, if f = 3 3. 3 > d, if d = 3

4. c – 12 > 30, if c = 13 5. 16 < b – 8, if b = 22 6. 6x + 5 < 18, if x = 5

7. 2j ≤ 8, if j = 5 8. 5r – 3 ≥ 25, if r = 6 9. 6m – 12 < 40, if m = 8

Determine whether each value makes a true statement.

Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesStudent Handout 1

INTRO TO INEQUALITIESAn equation uses an ______________ sign to show that both sides are _______________ .

An _________________ shows that both sides are ______ equal.

GREATER THAN GREATER THAN OR EQUAL TO LESS THAN LESS THAN OR

EQUAL TO NOT EQUAL

Use the _________________ as the starting point when reading inequalities.


Use an inequality symbol to create a true statement.

a. 4 ____ 9 b. 0.5 ____ 0.45 c. -3 ____ -2 d. -6.1 ____ -6.10 e. 12.4 ____ 12.04

Write a verbal description to represent the inequality statements below.

6 ≤ x: ______________________________________________________________________________

y < 0.5: ____________________________________________________________________________

1 2 3 4 5-1 0 1 2 315 20 25 30 35

3 4 5 6 710 11 12 13 14

10. k > 11

11. 12 ≥ f

12. d < 6

13. c < 25

14. 0 ≤ b

15. x ≥ 4.5

8 9 10 11 12

Practice graphing the following inequalities.

Inequalities can also be _________________ on the ______________________ .


Summarize today’s lesson:

INCLUDED NOT INCLUDED

Based on the verbal expression below, write and graph an inequality.

16. The McDonald family spends no more than $150 for groceries each week.

17. Jerod earns at least $10 per hour when mowing lawns.

0 2 3 4 5 61 87 9

x≤ 5

8 9 10 11 12 10 11 12 13 14 3 4 5 6 7

7. k ≤ 8 8. 13.5 ≥ f 9. d < 4

4.

________

5.

________

6.

________

1. k + 12 ≥ 20, if k = 15 2. -16 > -f, if f = 15 3. 9 > d, if d = 3

Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesHomework 1


Based on the verbal expression below, write and graph an inequality.

10. The Parkland Zoo has a maximum capacity of 350 visitors (v).

11. Trina must spend at least 45 minutes (m) studying for her test.

INTRO TO INEQUALITIES

8 9 10 11 12 10 11 12 13 14 3 4 5 6 7

Substitute each variable to determine whether the inequality statement is true or false.

Write an inequality for each solution set graphed below.

Practice graphing the following inequalities:

2. c – 8 > 14 ✓ CHECK:

Name _____________________________________Date ______________________________Pd______

Unit: Inequalities Student Handout 2

SOLVING ONE-STEP INEQUALITIES

1. n + 5 ≤ 16 ✓ CHECK:


Inequalities can be _______________just like an _______________, but with a few

exceptions. J

3. 12g < 48 ✓ CHECK: 4. p3

> 9 ✓ CHECK:

Solve each inequality, check your answer, and then graph the solution.

ONE-STEP INEQUALITIES

The goal when solving an inequality is to isolate the variable.

1. Isolate the variable by using ______________ or opposite

operations.

2. The inequality must remain ______________.

3. When you multiply or divide by a ______________number, the

inequality sign is ______________.

What observations can you make about the problems above?

Inequalities sometimes involve _________________numbers. Remember, when

multiplying or dividing by a ________________number, be sure to __________the sign.



7. -7x ≥ 35

_________

8.x – 16 < 11

_________

9.8 ≥ x + 10

_________

10.x8

> −3

_________

11.6x ≥ -108

_________

12.-15 ≤ x + 7

_________

Solve each inequality, check your answer, and then graph the solution.

5. -4k ≤ 22 ✓ CHECK: 6. s−2 > 5 ✓ CHECK:

Solve each inequality, and then graph your solution.

4. Which inequality is true when x = 4?

A. x + 5 ≤ 3

B. 9x > 36

C. x2

< 3

D. 18 ≤ x – 8

6. Jasmine is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number line below represents the solutions to this situation?

A.

B.

C.

D.

5. Which inequality is NOT true when x = -2?

A. 6x < -10

B. -2x > -3

C. x4

≤ 0

D. -4 ≤ x – 5

1.18 ≥ -2x

2.x

4≤ 8

3.x – 7 > -11

✔ CHECK: ✔ CHECK: ✔ CHECK:

Graph: Graph: Graph:


Name _____________________________________Date ____________________________Pd ______


SOLVING ONE-STEP INEQUALITIESSolve the following one-step inequalities, check your work, and graph the solution.

Use your understanding of one-step inequalities to answer the questions below.

0 5 10 15 20

0 5 10 15 20

0 5 10 15 20

0 5 10 15 20

1.10 + 3k ≤ 22

2.19 > -4p – 5

3.1

2r + 3 < 6

✓ CHECK: ✓ CHECK: ✓ CHECK:

Name _____________________________________Date ______________________________Pd______


SOLVING TWO-STEP INEQUALITIESTwo-step inequalities follow the same _______________for isolating the variable.

Think of it as “undoing” ______________.

Solve each two-step inequality below. Then, prove that your answer is correct.

5x + 9 < 17

SOLVING TWO-STEP

INEQUALITIES

1. Undo addition or subtraction with the ________________ operation.

2. Undo multiplication or ________________ with the inverse operation.

3. When you multiply or divide by a ______________number, the inequality

sign is ______________. (watch for negative signs)

3. Isolate the ________________.

4. Check the ________________ sign.

-2x – 3 > 13


DICE ROLL SOLVE SOLUTION GRAPH

2 4x – 8 < 32

3 -6x + 9 ≤ 25

4 3

4x + 8 < 41

5 2.5 x – 10 > 25

6x

6 + 2 ≥ −16

7 -16 > 5 + 7x

8 6 + 1.5x < -12

9 -8x – 9 > -21

10 42 ≥ -6 + 3x

11 -10x + 25 ≤ 5

12 30 ≤ 3x – 5



Solve each equation below for practice. Roll a pair of dice, and find the sum of the two numbers showing. Solve that problem.

SHOW WORK HERE:


Name _____________________________________Date ______________________________Pd______


Match each of the inequalities to their appropriate graph Record your results below.

MATCH 1 MATCH 4

MATCH 2 MATCH 5

MATCH 3 MATCH 6

E

3x – 1 < -10

SOLVING TWO-STEP INEQUALITIES

Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesQuiz 1

QUIZ: INEQUALITIESMatch each of the following inequality statements to the appropriate graph.

1. x > 6.5

2. − 12

≥ x

3. 6.5 > x

4. x > − 12

Evaluate whether each value makes a true or false statement.

5. k+ 6 ≥ 19, if k = 11 6. 16 < b + 8, if b = 22

Solve each inequality below.


Answers

1. ______________

2. ______________

3. ______________

4. ______________

5. ______________

6. ______________

7. ______________

8. ______________

9. _____________

10. _____________

11. _____________

12. _____________

7. -4x ≤ 32 8. 6x – 18 ≤ 27 9. x4

< -1.5

10. 5 + x2≥ 10 11. 10 + 2.5x > 35 12. 9 –x < -11

A.

B.

C.

D.

E.

-6 -4 -2 0 2

-1 1 3 5 7

2 4 6 8 10

-3 -2 -1 0 1

1 3 5 7 9

INEQUALITY PHRASES

Name _____________________________________Date ______________________________Pd______



WRITING INEQUALITIES

Verbal statements can be _________________ to algebraic inequalities, much like

deciphering a secret message or translating from one _________________ to another.

Translate each of the following into an algebraic inequality.

1. a number is at most fifteen 2. the sum of a number and three is less than twelve

3. the quotient of a number and negative two is greater than or equal to ten

4. four less than a number is at least negative six

5. the difference between a number and thirteen is atleast one

6. eight less a number is less than or equal to five

7. three times a number is more than negative seven

8. one-half of a number plus five is greater than eleven

9. negative six plus a number is less than or equal to fifteen

< > < >

Inequality: ___________________

Solution: _____________________

Graph:

Inequality: ___________________

Solution: _____________________

Graph:

Inequality: ___________________

Solution: _____________________

Graph:

Translate each statement into an algebraic inequality. Then, solve and graph the solution.



10. the sum of twice a number and four is at least 16

11. one-half of a number less six is greater than or equal to ten

12. three times a number increased by seven is less than eleven

13. the difference of two and a number is at least negative one

14. the quotient of a number and five is no greater than negative nine

15. twice a number less than twenty is at most ten

Inequality: ___________________

Solution: _____________________

Graph:

13. Which of the following inequality statements is represented by the graph below?

A. x – 2 ≤ 4 B. x2

+ 2 ≥ −6 C. -4 ≥ x D. x2≥ −2

Inequality: ___________________

Solution: _____________________

Graph:

Inequality: ___________________

Solution: _____________________

Graph:

-10 -8 -6 -4 -2

Name _____________________________________Date ______________________________Pd______


_______________ _________________________

1

Four more than three times a number is greater than twenty-two.

2

One less than five times a number is fewer than twenty-four.

3

Eight less a number is less than or equal to seventeen.

4

Negative ten is no less than two times a number plus fourteen.

WHAT IS A BIRD’S FAVORITE TYPE OF MATH?

L C G

W O I

B R P

A E D

4 8 1 6 5 3 7 2


Match the phrases to the algebraic solution below. Then, write the letter in the blank below.

5

Twenty-seven is smaller than five times a number increased by seven.

6

A number divided by three less two is at most two.

7

The sum of eight times a number and negative four exceeds twelve.

8

The quotient of a number and negative one increased by eleven is less than or equal to fifteen.

x ≥ −4

5x < x < 6

x ≤12x > 3

x ≤ −12

x > 6

x ≥ −9 x > 2 x ≤ −9

x <11.5

x > 4

WRITING INEQUALITIES

Name _____________________________________Date ______________________________Pd______


SOLVING INEQUALITIES IN REAL LIFE

I KNOW: I NEED TO KNOW:

PLAN AND WORK: MY SOLUTION:



1. Missy is saving to attend a week at summer camp. She needs $250.00 to register. Her

parents will contribute $75.00. She needs to raise the rest of the money babysitting for $12.00

per hour. What is the minimum number of hours she must babysit in order to attend camp?

2. The youth soccer team is fundraising by washing cars. They paid $84.55 for supplies. If they charge $8.00 per wash, how many cars must be washed to profit at least $300.00 dollars?







3. JoAnn has a bank account with $350.00 in it. Every week, she withdraws $12.50 to attend the movies. What is the maximum number of weeks that JoAnn can withdraw the money without allowing her bank account to drop below $210.00?

4. A jet ski rental charges a flat rate of $75, plus an additional $60 per hour. You do not want to spend more than $200. How many hours can you rent the jet ski and still be under budget?


Name _____________________________________Date ______________________________Pd______


Answer the following questions. Be sure to justify your responses.


1. Marcus needs to bike at least 80 miles this week for his training. If he has already biked 25miles this week, then how many miles should he bike on each of the 5 remaining days this week?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

2. Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.50 each. How many Sour Straws can Jamal purchase with the money that he has?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

3. Taylor has a $30.00 gift card that she can spend at the store. She has already bought a $9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. How many journals can she buy without going over the card’s limit?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

4. Liza wants to have more than $750 in her

savings account before she will leave for college.

Right now she has $300, and she is going to

babysit to earn $12.00 an hour. How many hours

will Liza need to babysit before she leaves for

college?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

5. Dennis is selling chocolate bars for a fundraiser, and if he sells over $175 worth of candy, he’ll win a prize. If chocolates sell for $2.50 a bar, and Dennis has already sold $40 worth of candy, then how many more bars does he have to sell in order to win a prize?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

6. The amusement park won’t allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inch every month. How many months will it be until Michael can ride a roller-coaster?

Variable: ______________________________

Inequality: ______________________________

Solution: ______________________________

SOLVING INEQUALITIES IN REAL LIFE

Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesReview - CCSS

Solve each of the problems below. These represent the types of questions on your test. Be sure to ask questions if you need more help with a topic.

I CAN SOLVE ONE-STEP INEQUALITIES. 7.EE.4

1.

9p < -81

2.

-2.5d ≥ 30

3.c

2 ≤ −0.75

4.

x – 15 > -20

5.

18 + y ≤ -7

6.

h + 34

< 214


INEQUALITIES UNIT STUDY GUIDE

I CAN SOLVE TWO-STEP INEQUALITIES. 7.EE.4

7.

-3x – 11 > 45

8.

10 – x ≤ 35

9.x2– 8 ≥ 18

10.

30 < 2x – 6

11.

1.5x + 12 < 18

12.

16 ≥ 6 + x2

I CAN GRAPH INEQUALITY STATEMENTS. 7.EE.4

13. x < 4.5

14.x ≤ -9

15.4

5> x

16.-4.5 < x

17.-9 > x

18.x ≥ 12

I CAN WRITE INEQUALITIES FROM REAL-WORLD PROBLEMS. 7.EE.4

19. Jasmine has a budget of $600.00 to spend on home renovations. She will spend $175.00 on a new sink and the remainder on countertops. The countertops cost $35 per square foot. What is the maximum number of square feet Jasmine can purchase?

Variable: ______________________________

Inequality: ______________________________

20. Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00?

Variable: ______________________________

Inequality: ______________________________

21. Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie?

Variable: ______________________________

Inequality: ______________________________

22. An online music service charges a $12.00 registration fee plus $1.50 for each song downloaded. If Mary Beth has a gift card with $60.00, then how many songs can she download?

Variable: ______________________________

Inequality: ______________________________


I CAN SOLVE REAL-WORLD INEQUALITIES. 7.EE.4

23. Megan is saving up to buy a new cell phone that costs $220.00. So far she has saved $175.00. Megan would like to buy the cell phone in four weeks. Write and solve an inequality to represent at least how much she must save every week to purchase the cell phone.

Inequality: ______________________________

Solution: ______________________________

24. A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining? Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.

Inequality: ______________________________

Solution: ______________________________

25. A 15-passenger van is rented for a family vacation. The van rental is $60.00 per day, plus a $145.00 insurance fee. How many days can the van be rented if they want to spend no more than $625.00 on the van rental? Write and solve an inequality.

Inequality: ______________________________

Solution: ______________________________

26. Marco is limited to 7 hours of screen time each week. He decides to watch a movie that is 1 hour and 20 minutes on Sunday. If he divides the remainder of the time equally amongst the other six days, then how many minutes can he watch each day? Write and solve an inequality.

Inequality: ______________________________

Solution: ______________________________

I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?


Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesReview

Solve each of the problems below. These represent the types of questions on your test. Be sure to ask questions if you need more help with a topic.

I CAN SOLVE ONE-STEP INEQUALITIES.

1.

9p < -81

2.

-2.5d ≥ 30

3.c

2 ≤ −0.75

4.

x – 15 > -20

5.

18 + y ≤ -7

6.

h + 34

< 214


INEQUALITIES UNIT STUDY GUIDE

I CAN SOLVE TWO-STEP INEQUALITIES.

7.

-3x – 11 > 45

8.

10 – x ≤ 35

9.x2– 8 ≥ 18

10.

30 < 2x – 6

11.

1.5x + 12 < 18

12.

16 ≥ 6 + x2

I CAN GRAPH INEQUALITY STATEMENTS.

13. x < 4.5

14.x ≤ -9

15.4

5> x

16.-4.5 < x

17.-9 > x

18.x ≥ 12

I CAN WRITE INEQUALITIES FROM REAL-WORLD PROBLEMS.

19. Jasmine has a budget of $600.00 to spend on home renovations. She will spend $175.00 on a new sink and the remainder on countertops. The countertops cost $35 per square foot. What is the maximum number of square feet Jasmine can purchase?

Variable: ______________________________

Inequality: ______________________________

20. Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00?

Variable: ______________________________

Inequality: ______________________________

21. Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie?

Variable: ______________________________

Inequality: ______________________________

22. An online music service charges a $12.00 registration fee plus $1.50 for each song downloaded. If Mary Beth has a gift card with $60.00, then how many songs can she download?

Variable: ______________________________

Inequality: ______________________________


I CAN SOLVE REAL-WORLD INEQUALITIES.

23. Megan is saving up to buy a new cell phone that costs $220.00. So far she has saved $175.00. Megan would like to buy the cell phone in four weeks. Write and solve an inequality to represent at least how much she must save every week to purchase the cell phone.

Inequality: ______________________________

Solution: ______________________________

24. A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining? Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.

Inequality: ______________________________

Solution: ______________________________

25. A 15-passenger van is rented for a family vacation. The van rental is $60.00 per day, plus a $145.00 insurance fee. How many days can the van be rented if they want to spend no more than $625.00 on the van rental? Write and solve an inequality.

Inequality: ______________________________

Solution: ______________________________

26. Marco is limited to 7 hours of screen time each week. He decides to watch a movie that is 1 hour and 20 minutes on Sunday. If he divides the remainder of the time equally amongst the other six days, then how many minutes can he watch each day? Write and solve an inequality.

Inequality: ______________________________

Solution: ______________________________

I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?


Name _____________________________________Date ______________________________Pd______

Unit: InequalitiesTest

Solve the inequality problems below. Be sure to show your thinking.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

1. Solve.

48 > -6x

_____________________

2. Graph.

c ≤ -3

3. Write an inequality to

represent “a number is at

most two”.

_____________________

4. If x = -1, then which of the following

equations makes a true statement?

A. -4x + 9 > 20

B. -4x – 5 < -15

C. -3x + 15 ≤ 18

D. -5x – 15 ≤ -22

5. Which of the following inequalities represents the phrase “three less than twice a number is at least negative one”.

A. 2x + 3 ≥ -1

B. 3 – 2x ≥ -1

C. 3 – 2x ≤ -1

D. 2x - 3 ≥ -1

6. Benny earns $12.00 per hour as a

lifeguard. He earns a bonus of $75.00 for

taking a training course. Which graph best

represents the number of hours must be work

to earn at least $399.00?

A.

B.

C.

D.

7. Xavier needs to bike a minimum of 80

miles this week for his training. If he has

already biked 14 miles this week, then how

many miles should he bike on each of the 6

remaining days this week?

A. x ≥ 12

B. x ≥ 11

C. x ≤ 10

D. x ≥ 10

8. Solve.r

3 – 9 ≥ −2

_____________________

9. Solve. x

8 ≥ −1.5

_____________________

10. Solve.

x – 13 < -11

_____________________

INEQUALITIES UNIT TEST

-5 -4 -3 -2 -1

24 25 26 27 28

24 25 26 27 28

24 25 26 27 28

24 25 26 27 28

Solve the problems below. Be sure to show your thinking.

©M

aneuveri

ng t

he M

iddle

LLC

, 2016

11. Solve.

16 > -8 + x

_____________________

12. Solve.

1.5x + 6 ≤ 31.5

_____________________

13. Solve.

x – 9.5 < -10.5

_____________________

Match the following inequalities to the correct graph below.

14. _____

15. _____

16. _____

17. A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?

A. 75.00 + 160.00x < 760.00

B. 75.00x + 160.00 > 760.00

C. 75.00 + 160.00x > 760.00

D. 75.00x + 160.00 < 760.00

18. Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day?

A. x > 32.5 minutes

B. x > 40 minutes

C. x ≤ 32.5 minutes

D. x ≤ 40 minutes

19. Paulo’s grandfather gave him a collection

of 20 coins. Each month Paulo adds 4 coins

to his collection. Which inequality can be used

to find m, the number of months after starting

his collection when Paulo will have more than

50 coins in his collection?

A. 20m + 4 < 50

B. 20 + 4m < 50

C. 20m + 4 > 50

D. 20 + 4m >50

20. Solve and graph the following inequality.

16 ≥ 6 + x2

Solution: _____________________

Graph:

A. -5 > x

B. x ≤ -3.5

C. -2 < x

D. x > -5

E. -2 > x

F. -3.5 ≤ x

-5 -4 -3 -2 -1

-6 -4 -2 0 2

-5 -4 -3 -2 -1

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