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Passage A: Schools Should Use Digital Textbooks

Many schools are beginning to replace printed textbooks with digital versions that students can access on laptops or tablets. Digital textbooks offer several advantages. First, they are often less expensive than printed books because schools do not need to purchase new editions every few years.

Digital textbooks are also easier to update. When new information becomes available, publishers can update online materials quickly without requiring schools to buy entirely new books. In addition, digital textbooks allow students to search for keywords, highlight text, and access videos or interactive materials that help explain difficult topics.

For these reasons, many educators believe that digital textbooks can improve learning while saving schools money.

Passage B: Schools Should Keep Printed Textbooks

Although digital textbooks are becoming more common, many educators believe printed textbooks are still the better option. Research shows that many students understand and remember information better when reading printed material rather than screens.

Printed books also reduce distractions. When students read on laptops or tablets, they may be tempted to check social media, play games, or browse the internet instead of focusing on their work. Printed textbooks help students concentrate on the material.

Additionally, not all students have reliable internet access at home. If schools rely only on digital textbooks, some students may struggle to complete their assignments outside of school.

For these reasons, many teachers believe printed textbooks remain the most effective learning tool.

Essay Task

In your response:

1. Identify which argument is stronger.

2. Explain why that argument is more convincing.

3. Use evidence from the passages to support your explanation.

Remember to:

Introduce the topic clearly

Provide at least two reasons with evidence

Explain how the evidence supports your ideas

End with a strong conclusion

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1. Expand: (x + 2)(x + 3)

A. x² + 5x + 6

B. x² + 6x + 5

C. x² + 5x + 5

D. x² + 6x + 6

2. Expand: (x + 4)(x + 5)

A. x² + 9x + 20

B. x² + 20x + 9

C. x² + 8x + 20

D. x² + 9x + 10

3. Expand: (x + 6)(x + 1)

A. x² + 6x + 1

B. x² + 7x + 6

C. x² + 6x + 7

D. x² + 5x + 6

4. Expand: (x + 7)(x + 2)

A. x² + 14x + 9

B. x² + 9x + 14

C. x² + 7x + 2

D. x² + 9x + 7

5. Expand: (x + 3)(x + 8)

A. x² + 24x + 11

B. x² + 11x + 24

C. x² + 8x + 3

D. x² + 12x + 24

6. Expand: (x - 2)(x + 4)

A. x² + 2x - 8

B. x² - 2x - 8

C. x² + 6x - 8

D. x² + 2x + 8

7. Expand: (x - 3)(x + 5)

A. x² + 2x - 15

B. x² - 2x - 15

C. x² + 8x - 15

D. x² + 2x + 15

8. Expand: (x - 4)(x + 6)

A. x² + 2x - 24

B. x² - 2x - 24

C. x² + 10x - 24

D. x² + 2x + 24

9. Expand: (x - 1)(x + 9)

A. x² + 9x - 1

B. x² + 8x - 9

C. x² + 10x - 9

D. x² + 8x + 9

10. Expand: (x - 7)(x + 2)

A. x² - 5x - 14

B. x² + 5x - 14

C. x² - 9x - 14

D. x² - 5x + 14

11. Expand: (2x + 3)(x + 4)

A. 2x² + 11x + 12

B. 2x² + 8x + 12

C. 2x² + 11x + 6

D. 2x² + 7x + 12

12. Expand: (3x + 2)(x + 5)

A. 3x² + 15x + 10

B. 3x² + 17x + 10

C. 3x² + 17x + 5

D. 3x² + 13x + 10

13. Expand: (4x + 1)(x + 3)

A. 4x² + 13x + 3

B. 4x² + 12x + 3

C. 4x² + 13x + 1

D. 4x² + 7x + 3

14. Expand: (2x + 5)(x + 7)

A. 2x² + 14x + 35

B. 2x² + 19x + 35

C. 2x² + 19x + 7

D. 2x² + 12x + 35

15. Expand: (3x + 4)(x + 6)

A. 3x² + 18x + 24

B. 3x² + 22x + 24

C. 3x² + 22x + 6

D. 3x² + 10x + 24

16. Expand: (2x - 3)(x + 5)

A. 2x² + 7x - 15

B. 2x² - 7x - 15

C. 2x² + 10x - 15

D. 2x² + 7x + 15

17. Expand: (3x - 2)(x + 4)

A. 3x² + 10x - 8

B. 3x² - 10x - 8

C. 3x² + 12x - 8

D. 3x² + 10x + 8

18. Expand: (4x - 1)(x + 6)

A. 4x² + 23x - 6

B. 4x² + 24x - 6

C. 4x² + 23x + 6

D. 4x² + 18x - 6

19. Expand: (x + 9)(x - 3)

A. x² + 6x - 27

B. x² - 6x - 27

C. x² + 12x - 27

D. x² + 6x + 27

20. Expand: (x - 5)(x - 6)

A. x² - 11x + 30

B. x² + 11x + 30

C. x² - 11x - 30

D. x² + x + 30

21. Expand: (x + 7)(x - 8)

A. x² - x - 56

B. x² + x - 56

C. x² - 15x - 56

D. x² - x + 56

22. Expand: (x - 4)(x - 9)

A. x² - 13x + 36

B. x² + 13x + 36

C. x² - 5x + 36

D. x² - 13x - 36

23. Expand: (2x + 1)(x + 8)

A. 2x² + 17x + 8

B. 2x² + 16x + 8

C. 2x² + 9x + 8

D. 2x² + 17x + 16

24. Expand: (3x + 5)(x - 2)

A. 3x² - x - 10

B. 3x² + x - 10

C. 3x² - 6x - 10

D. 3x² - x + 10

25. Expand: (x + 6)(x - 6)

A. x² - 12x - 36

B. x² - 36

C. x² + 36

D. x² - 6x - 36

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Part I: Reading & Language Arts (10 Questions)

Read the Passage

Online learning has become more common in recent years. Many students choose online classes because they offer flexibility and allow people to learn at their own pace. However, online learning also requires strong self-discipline and time management. Students who create a study schedule and limit distractions often perform better in online courses.

1. What is the main idea of the passage?

A. Online learning is easier than traditional school.
B. Online learning offers flexibility but requires discipline.
C. All students prefer online classes.
D. Studying online requires no effort.

2. According to the passage, why do many students choose online classes?

A. They are shorter than traditional classes
B. They allow students to learn at their own pace
C. They require less work
D. They are always free

3. Which word is closest in meaning to discipline in the passage?

A. control
B. confusion
C. boredom
D. freedom

4. Which statement is supported by the passage?

A. Online classes are only for adults.
B. Students who manage their time well may perform better.
C. Online classes are always easier.
D. Students do not need schedules.

5. Choose the sentence with correct grammar.

A. Students studies better with a schedule.
B. Students study better with a schedule.
C. Students studying better with a schedule.
D. Students study better with schedule.

6. Which sentence uses correct punctuation?

A. Students should plan their study time, before class.
B. Students should plan their study time before class.
C. Students should plan, their study time before class.
D. Students should plan their study time before, class.

7. Choose the correctly spelled word.

A. Distraction
B. Distracton
C. Distraktion
D. Distractiun

8. Which sentence is written correctly?

A. Time management help students succeed.
B. Time management helps students succeed.
C. Time management helping students succeed.
D. Time management helped students succeed always.

9. Identify the verb in this sentence:

Students create a study schedule.

A. Students
B. create
C. study
D. schedule

10. Which sentence is a fragment?

A. Students succeed when they stay organized.
B. Creating a study plan each week.
C. Online learning requires discipline.
D. Students benefit from good habits.

Part II: GED Math Skills (10 Questions)

11. Solve:

34 + 28 = __________

12. Solve:

90 − 46 = __________

13. Multiply:

6 × 9 = __________

14. Divide:

64 ÷ 8 = __________

15. A student reads 15 pages per day for 4 days.

How many pages does the student read in total?

16. Simplify:

5/10 = __________

17. Convert to a decimal:

3/4 = __________

18. What is 50% of 40?

19. Solve for x:

x − 7 = 12

x = __________

20. Which number is largest?

A. 0.4
B. 0.65
C. 0.6
D. 0.5

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Part I: Multiply Using FOIL (Show All Work)

1. (x + 4)(x + 3)

2. (x + 5)(x + 2)

3. (x + 6)(x + 1)

4. (x − 3)(x + 4)

5. (x − 2)(x − 7)

Part II: Multiply and Simplify

(Remember to combine like terms!)

6. (x + 8)(x + 2)

7. (x − 5)(x + 6)

8. (x + 9)(x − 3)

9. (2x + 3)(x + 4)

10. (3x + 2)(x + 5)

Part III: Challenge (Still Beginner-Friendly!)

11. (2x + 1)(x + 3)

12. (x − 4)(2x + 5)

13. (3x + 4)(x − 2)

14. (2x − 3)(x − 6)

15. (x + 7)(x − 7)

(Hint: This is a special pattern

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# GED Grammar Worksheet #3

**Name:** _____________________________ **Date:** _____________________________

## Instructions
Complete all sections of this worksheet. For the essay portion, write clearly and organize your thoughts before writing.

---

## PART A: GRAMMAR SKILLS

---

## Section 1: Adjectives and Adverbs (Multiple Choice)

Choose the correct word to complete each sentence.

1. She spoke __________ during the presentation.
   - A) confident
   - B) confidently
   - C) confidenter
   - D) more confident

2. This is the __________ book I've ever read.
   - A) good
   - B) better
   - C) best
   - D) most good

3. The music played __________ as the evening progressed.
   - A) softer
   - B) more soft
   - C) most soft
   - D) soft

---

## Section 2: Clauses and Phrases (Short Answer)

Identify each underlined portion as an independent clause (IC), dependent clause (DC), or phrase (P).

4. _____ **When the storm passed**, we went outside to survey the damage.

5. _____ The students **who studied hard** performed well on the exam.

6. _____ **Walking through the park**, I noticed the beautiful flowers.

7. _____ I finished my homework, **and then I watched TV**.

---

## Section 3: Word Choice (Multiple Choice)

Choose the word that best fits the context of each sentence.

8. The new policy will __________ all employees starting next month.
   - A) affect
   - B) effect
   - C) infect
   - D) defect

9. She decided to __________ the job offer after careful consideration.
   - A) except
   - B) accept
   - C) expect
   - D) access

10. The scientist conducted the experiment __________ three times.
    - A) farther
    - B) further
    - C) father
    - D) farthest

---

## Section 4: Sentence Structure Errors (Short Answer)

Identify the error in each sentence and rewrite it correctly.

11. Running late for the meeting I forgot my presentation materials.

    Error: ___________________________________________________________________
    
    Corrected: _______________________________________________________________

12. The book that I borrowed from the library it was very interesting.

    Error: ___________________________________________________________________
    
    Corrected: _______________________________________________________________

13. To succeed in college. Students must develop good study habits.

    Error: ___________________________________________________________________
    
    Corrected: _______________________________________________________________

---

## Section 5: Coordination and Subordination (Multiple Choice)

Choose the best way to combine each pair of sentences.

14. The concert was sold out. We decided to watch a movie instead.
    - A) The concert was sold out, we decided to watch a movie instead.
    - B) The concert was sold out; therefore, we decided to watch a movie instead.
    - C) The concert was sold out we decided to watch a movie instead.
    - D) The concert was sold out, therefore we decided to watch a movie instead.

15. She studied all night. She wanted to pass the exam.
    - A) She studied all night, she wanted to pass the exam.
    - B) She studied all night because she wanted to pass the exam.
    - C) She studied all night she wanted to pass the exam.
    - D) She studied all night, wanting to pass the exam, too.

---

## Section 6: Editing for Clarity (Short Answer)

Rewrite each sentence to make it clearer and more concise.

16. Due to the fact that it was raining, we made the decision to cancel the picnic.

    Revised: __________________________________________________________________

17. In my opinion, I think that the movie was really very extremely good.

    Revised: __________________________________________________________________

18. The reason why I was absent is because I was sick with the flu.

    Revised: __________________________________________________________________

---

## Section 7: Quotation Marks and Dialogue (Multiple Choice)

Choose the sentence with correct punctuation.

19. 
    - A) "I'll be there soon", she said.
    - B) "I'll be there soon," she said.
    - C) "I'll be there soon." she said.
    - D) "I'll be there soon" she said.

20. 
    - A) Did she ask, "What time is it?"
    - B) Did she ask, "What time is it"?
    - C) Did she ask "What time is it?"
    - D) Did she ask "what time is it?"

---

## Section 8: Logical Relationships (Short Answer)

Choose the best transition word or phrase to show the logical relationship between the sentences.

**Word Bank:** although, as a result, similarly, on the other hand, first

21. The team practiced every day for a month. __________, they won the championship.

22. I enjoy playing basketball. __________, my brother prefers soccer.

23. __________ the weather was bad, we still went hiking.

---

## PART B: ESSAY WRITING

---

## Essay Prompt

**Time Suggested: 45 minutes**

**Directions:** Write a well-organized essay responding to the prompt below. Your essay should include:
- An introduction with a clear thesis statement
- At least 2-3 body paragraphs with supporting details and examples
- A conclusion that restates your main idea
- Proper grammar, spelling, and punctuation

**Essay Prompt:**

Many schools and workplaces are debating whether to adopt a four-day work/school week instead of the traditional five-day schedule. Supporters argue that it reduces stress, saves money on transportation and utilities, and improves productivity. Critics argue that it creates childcare challenges, reduces learning time, and may not be practical for all professions.

**What is your position on the four-day work or school week? Write an essay explaining your viewpoint. Use specific reasons and examples to support your position.**

---

## Essay Planning Space

Use this space to brainstorm and organize your ideas before writing your essay.

**Thesis Statement:**

___________________________________________________________________________

___________________________________________________________________________

**Main Point #1:**

___________________________________________________________________________

Supporting details: ________________________________________________________

___________________________________________________________________________

**Main Point #2:**

___________________________________________________________________________

Supporting details: ________________________________________________________

___________________________________________________________________________

**Main Point #3 (optional):**

___________________________________________________________________________

Supporting details: ________________________________________________________

___________________________________________________________________________

**Conclusion idea:**

___________________________________________________________________________

___________________________________________________________________________

---

## Essay (Write your essay on a separate sheet of paper or below)

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

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___________________________________________________________________________

---

**Grammar Section Points: 23**

**Essay Points: 12** (Based on rubric)

**Total Points: 35**

**Score: _____ / 35**

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# GED Grammar Worksheet #2

**Name:** _____________________________ **Date:** _____________________________

## Instructions
Complete all sections of this worksheet. Read each question carefully and provide your best answer.

---

## Section 1: Apostrophe Usage (Multiple Choice)

Choose the sentence with correct apostrophe usage.

1. 
   - A) The childrens' toys were scattered across the floor.
   - B) The children's toys were scattered across the floor.
   - C) The childrens toys were scattered across the floor.
   - D) The children's toy's were scattered across the floor.

2. 
   - A) Its a beautiful day for a picnic.
   - B) Its' a beautiful day for a picnic.
   - C) It's a beautiful day for a picnic.
   - D) Its a beautiful day for a' picnic.

3. 
   - A) The Jones' house is at the end of the street.
   - B) The Jones's house is at the end of the street.
   - C) The Jone's house is at the end of the street.
   - D) Both A and B are correct.

---

## Section 2: Sentence Types (Short Answer)

Identify each sentence as simple (S), compound (CD), complex (CX), or compound-complex (CC).

4. _____ Although it was raining, we decided to go hiking.

5. _____ The dog barked loudly.

6. _____ I wanted to go to the movies, but my friend preferred to stay home and watch TV.

7. _____ She finished her work early and left the office.

8. _____ When the bell rang, the students rushed out, and the teacher smiled.

---

## Section 3: Homophones (Multiple Choice)

Choose the correct word to complete each sentence.

9. The committee will __________ on the proposal next week.
   - A) cite
   - B) site
   - C) sight

10. Please put the books __________ on the shelf.
    - A) their
    - B) there
    - C) they're

11. I need to __________ down and rest for a while.
    - A) lie
    - B) lay

12. The principal gave her speech at the school __________.
    - A) assemble
    - B) assembly
    - C) assembley

---

## Section 4: Fixing Errors (Short Answer)

Each sentence contains one error. Identify the type of error and rewrite the sentence correctly.

13. The reason I was late is because my car broke down.

    Error type: _______________________________________________________________
    
    Corrected: _______________________________________________________________

14. Walking down the street, a car nearly hit me.

    Error type: _______________________________________________________________
    
    Corrected: _______________________________________________________________

15. Between you and I, I think this plan won't work.

    Error type: _______________________________________________________________
    
    Corrected: _______________________________________________________________

---

## Section 5: Active and Passive Voice (Multiple Choice)

Choose the sentence written in active voice.

16. 
    - A) The cake was baked by Maria.
    - B) Maria baked the cake.
    - C) The cake had been baked by Maria.
    - D) The baking of the cake was done by Maria.

17. 
    - A) The report is being reviewed by the manager.
    - B) The manager reviews the report.
    - C) The report was reviewed by the manager.
    - D) Reviewing of the report is done by the manager.

---

## Section 6: Transitional Words (Short Answer)

Fill in the blank with an appropriate transitional word or phrase from the word bank.

**Word Bank:** however, therefore, for example, in addition, meanwhile, consequently

18. I studied hard for the exam. __________, I felt confident going into the test.

19. The weather forecast predicted rain. __________, we brought umbrellas.

20. Many students enjoy science classes. __________, biology and chemistry are popular choices.

21. The restaurant has great food. __________, the service is excellent.

---

## Section 7: Sentence Variety (Short Answer)

Rewrite each sentence to improve variety and style. Change the sentence structure or word order.

22. The sun was setting. The sky turned orange and pink.

    Rewritten: _______________________________________________________________

23. She opened the door. She saw a package on the doorstep.

    Rewritten: _______________________________________________________________

---

## Section 8: Agreement and Consistency (Multiple Choice)

Choose the sentence that maintains proper agreement and consistency.

24. 
    - A) Everyone should bring their own lunch to the meeting.
    - B) Everyone should bring his or her own lunch to the meeting.
    - C) Everyone should bring they're own lunch to the meeting.
    - D) Everyone should brings their own lunch to the meeting.

25. 
    - A) First, preheat the oven. Then you should mix the ingredients.
    - B) First, preheat the oven. Then mix the ingredients.
    - C) First, you preheat the oven. Then the ingredients should be mixed.
    - D) First, preheating the oven. Then mix the ingredients.

26. 
    - A) If a student wants to succeed, you must study regularly.
    - B) If a student wants to succeed, they must study regularly.
    - C) If a student wants to succeed, he or she must study regularly.
    - D) If students wants to succeed, they must study regularly.

---

## Section 9: Semicolons and Colons (Multiple Choice)

Choose the sentence with correct punctuation.

27. 
    - A) The store sells many items; including bread, milk, and eggs.
    - B) The store sells many items: including bread, milk, and eggs.
    - C) The store sells many items, including bread, milk, and eggs.
    - D) The store sells many items including; bread, milk, and eggs.

28. 
    - A) I have visited three countries; France, Italy, and Spain.
    - B) I have visited three countries: France, Italy, and Spain.
    - C) I have visited three countries, France, Italy, and Spain.
    - D) I have visited three countries; France; Italy; and Spain.

29. 
    - A) She didn't attend the party, she was sick.
    - B) She didn't attend the party; she was sick.
    - C) She didn't attend the party: she was sick.
    - D) She didn't attend the party she was sick.

---

## Section 10: Paragraph Revision (Short Answer)

Read the paragraph below and answer the questions.

**(1) Social media has changed the way people communicate. (2) It allows us to stay connected with friends and family. (3) However it can also be distracting. (4) Many people spends hours scrolling through their feeds. (5) Despite it's drawbacks, social media is here to stay.**

30. Which sentence contains a punctuation error? ___________
    
    How should it be corrected? _______________________________________________

31. Which sentence contains a subject-verb agreement error? ___________
    
    How should it be corrected? _______________________________________________

32. Which sentence contains an apostrophe error? ___________
    
    How should it be corrected? _______________________________________________

---

**Total Points: 32**

**Score: _____ / 32**

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GED Math Warm-Up

Name: ________________________ Date: ____________

Directions:

Solve each problem. Show work if required. Choose the best answer for multiple-choice questions.

Part I: Number Operations (1–4)

1. Simplify:

34+58\frac{3}{4} + \frac{5}{8}43​+85​

A) 1 1/8
B) 1 3/8
C) 7/8
D) 11/8

2. Evaluate:

−6+14÷2-6 + 14 \div 2−6+14÷2

A) 4
B) 1
C) 7
D) 8

3. A student scored 18 out of 25 questions correctly. What percent did they score?

A) 72%
B) 70%
C) 75%
D) 80%

4. Simplify:

3(2x−5)3(2x - 5)3(2x−5)

A) 6x - 5
B) 6x - 15
C) 5x - 6
D) 6x + 15

Part II: Algebra & Inequalities (5–8)

5. Solve for x:

4x−7=134x - 7 = 134x−7=13

A) 3
B) 4
C) 5
D) 6

6. Solve the inequality:

2x+5<152x + 5 < 152x+5<15

A) x < 5
B) x < 10
C) x > 5
D) x > 10

7. The expression y=3x+2y = 3x + 2y=3x+2 represents a function.
What is y when x = 4?

A) 12
B) 14
C) 10
D) 16

8. A phone plan charges $30 per month plus $5 per GB of data.
Write an expression for total cost (C) if g represents GB used.

A) C = 5g
B) C = 30 + 5g
C) C = 30g + 5
D) C = 35g

Part III: Geometry (9–11)

9. Find the area of a rectangle with length 8 ft and width 5 ft.

A) 13 ft²
B) 26 ft²
C) 40 ft²
D) 80 ft²

10. What is the circumference of a circle with radius 3?
(Use π ≈ 3.14)

A) 9.42
B) 18.84
C) 28.26
D) 6.28

11. A right triangle has legs 6 and 8.
What is the length of the hypotenuse?

A) 10
B) 12
C) 14
D) 9

Part IV: Data & Word Problems (12–15)

12. The mean of five numbers is 10. What is their total sum?

A) 15
B) 50
C) 40
D) 5

13. A car travels 180 miles in 3 hours.
What is the average speed?

A) 50 mph
B) 60 mph
C) 70 mph
D) 65 mph

14. A store offers 20% off a $45 jacket.
How much is the discount?

A) $9
B) $36
C) $11
D) $8

15. Solve:

23x=12\frac{2}{3}x = 1232​x=12

A) 6
B) 8
C) 16
D) 18

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Algebra Basics: Laws Of Exponents - Math Antics

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Worksheet 2_ Analyzing Primary and Secondary Sources

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Practice Worksheet: 2D Shapes and Formulas

Name: ________________ Date: ________________

Directions: Show all your work. Write the formula you're using, substitute the values, and solve. Include units in your answer.

Section A: Rectangles and Squares

1. A rectangular garden is 24 feet long and 18 feet wide.

a) What is the perimeter of the garden?

b) What is the area of the garden?

2. A square checkerboard has sides that are 16 inches long. What is the area of the checkerboard?

3. You want to put a border around a rectangular poster that is 36 inches long and 24 inches wide. How many inches of border material do you need?

Section B: Triangles

4. A triangular flag has a base of 10 inches and a height of 7 inches. What is the area of the flag?

5. A right triangle has a base of 12 feet and a height of 9 feet. What is its area?

6. A triangular piece of fabric has a base of 15 inches and an area of 60 square inches. What is the height of the triangle?

Section C: Circles (Use π = 3.14)

7. A circular pizza has a radius of 7 inches.

a) What is the circumference of the pizza?

b) What is the area of the pizza?

8. A circular pool has a diameter of 20 feet. What is the circumference of the pool?

9. A circular rug has a radius of 4 feet. How many square feet of floor does it cover?

Section D: Parallelograms and Trapezoids

10. A parallelogram has a base of 14 inches and a height of 8 inches. What is its area?

Formula: A = b × h (base times height)

11. A trapezoid has parallel sides of 10 feet and 6 feet, with a height of 4 feet. What is its area?

Formula: A = ½(b₁ + b₂) × h (average of the two bases times height)

Section E: Composite Shapes

12. A shape is made of a rectangle and a triangle. The rectangle is 8 meters long and 5 meters wide. The triangle sits on top of the rectangle with a base of 8 meters (same as the rectangle's length) and a height of 3 meters. What is the total area of the shape?

13. A window is shaped like a rectangle with a semicircle on top. The rectangular part is 3 feet wide and 6 feet tall. The semicircle has a diameter of 3 feet (same as the rectangle's width). What is the total area of the window?

Section F: Mixed Practice and Problem Solving

14. A circular garden with a radius of 6 feet needs a fence around it. Fencing costs $9 per foot. How much will the fence cost?

15. You have a rectangular piece of paper that is 11 inches by 8.5 inches. You cut out a circle with a radius of 3 inches. How much paper is left? (Find the area of the rectangle minus the area of the circle)

16. Challenge Problem: A running track consists of a rectangle with semicircles on each end. The rectangular section is 100 meters long and 50 meters wide. Each semicircle has a diameter equal to the width of the rectangle (50 meters).

a) What is the distance around the entire track? (Hint: The two semicircles together make one complete circle)

b) What is the total area inside the track?

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Worksheet_ Analyzing Primary and Secondary Sources

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Student Notes_ Analyzing Primary and Secondary Sources

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GED Social Studies Practice - US History Events

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GED Social Studies Practice - Important Figures

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Advanced Practice Worksheet: Geometry Formulas

Name: ________________ Date: ________________

Directions: Show all your work. Write the formula you're using, substitute the values, and solve. Include units in your answer. You may need to use multiple steps or formulas for some problems.

Section A: Multi-Step Rectangle Problems

1. A rectangular parking lot is 85 feet long and 60 feet wide. The owner wants to repave the entire lot. If paving costs $12 per square foot, what is the total cost?

2. A rectangular picture frame has a length of 18 inches and a width of 12 inches. If you want to put decorative trim around the entire frame and the trim comes in 5-foot lengths, how many lengths do you need to buy? (Hint: 12 inches = 1 foot)

Section B: Working Backwards

3. A square patio has an area of 144 square feet. What is the length of one side of the patio?

4. A circular flower bed has a circumference of 62.8 feet. What is the radius of the flower bed? (Use π = 3.14)

Section C: Composite Shapes

5. A room is shaped like a rectangle with one triangular section. The rectangular part is 12 feet by 10 feet. The triangular part has a base of 10 feet (the width of the rectangle) and a height of 6 feet. What is the total area of the room?

6. A window consists of a rectangle topped by a semicircle (half circle). The rectangular part is 4 feet wide and 5 feet tall. The semicircle has a diameter equal to the width of the rectangle (4 feet). What is the total area of the window? (Use π = 3.14)

Section D: Volume and Capacity

7. An aquarium is 36 inches long, 18 inches wide, and 24 inches tall.

a) What is the volume of the aquarium in cubic inches?

b) If 1 cubic foot = 1,728 cubic inches, what is the volume in cubic feet?

8. A shipping container is 8 feet long, 5 feet wide, and 6 feet tall. You need to pack boxes that are each 2 feet long, 1 foot wide, and 1 foot tall. How many boxes can fit in the container?

Section E: Real-World Applications

9. You're creating a circular garden with a radius of 8 feet. You want to put a decorative border around the edge and then cover the entire garden with mulch.

a) How many feet of border material do you need?

b) How many square feet of mulch do you need?

c) If mulch costs $3.50 per square foot, how much will the mulch cost?

10. Challenge Problem: A rectangular swimming pool is 25 feet long and 15 feet wide. The pool is 4 feet deep throughout.

a) How many cubic feet of water does the pool hold when full?

b) If paint for the bottom and sides costs $2.50 per square foot, how much will it cost to paint the entire inside of the pool? (Hint: You need to find the area of the bottom plus the area of all four sides)

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A free GED Math Quiz. This free short GED Math practice quiz will prepare you for the GED Math test with these common questions!

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Practice Worksheet: Geometry Formulas

Name: ________________ Date: ________________

Directions: Show all your work. Write the formula you're using, substitute the values, and solve. Include units in your answer.

Section A: Rectangles and Squares

1. A rectangular room is 15 feet long and 10 feet wide. What is the perimeter of the room?

2. How much area does the room in problem 1 have? (How much flooring would you need?)

3. A square tile has sides that are 6 inches long. What is the area of the tile?

Section B: Triangles

4. A triangle has a base of 8 meters and a height of 5 meters. What is its area?

Section C: Circles (Use π = 3.14)

5. A circular pool has a radius of 12 feet. What is the circumference (distance around) of the pool?

6. What is the area of the pool in problem 5?

Section D: Volume

7. A moving box is 3 feet long, 2 feet wide, and 2 feet tall. What is the volume of the box?

Section E: Mixed Practice

8. Challenge Problem: You want to build a fence around a rectangular garden that is 20 feet by 15 feet. Fencing costs $8 per foot. How much will the fence cost?

Hint: First find the perimeter, then multiply by the cost per foot.

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GED Science_ Beginner Formulas & Graphs Worksheet

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GED Social Studies_ Geography & the World - Practice Worksheet 2

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Ratios and Proportions Practice Worksheet

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GED Social Studies_ Geography & the World - Analysis Skills Worksheet

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GED Practice_ Economics with Graphs - Student Worksheet

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GED Practice_ Supply and Demand - Student Worksheet

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How To Solve Quadratic Equations Using The Quadratic Formula