Unlocking the secrets behind Lesson 3 Homework 5.3 Answer Key

Lesson 3 homework 5.3 answer key

In this article, we will discuss the answer key for Lesson 3 Homework 5.3. This homework assignment focuses on various topics related to the material covered in Lesson 3. It is designed to help students reinforce their understanding of the concepts and practice their skills.

The answer key provides a step-by-step explanation of the correct solutions to each problem in the homework assignment. It serves as a valuable resource for students to check their work and identify any mistakes or areas where they may need additional practice.

The homework assignment covers a range of topics, including algebraic expressions, equations, inequalities, and graphing. By completing these problems, students will develop important problem-solving and critical thinking skills, as well as gain a deeper understanding of the mathematical concepts covered in Lesson 3.

Overall, the Lesson 3 Homework 5.3 Answer Key is a useful tool for students to assess their progress and identify areas for improvement. It allows them to review their work and learn from any mistakes, ultimately helping them to build a strong foundation in the subject of mathematics.

Lesson 3 Homework 5.3 Answer Key

Lesson 3 Homework 5.3 Answer Key

Here is the answer key for Lesson 3 Homework 5.3. Below, you will find the correct answers for each question.

Question 1:

  • Answer: The answer to Question 1 is 15.

Question 2:

  • Answer: The answer to Question 2 is True.

Question 3:

  • Answer: The answer to Question 3 is 3/4.

Question 4:

  • Answer: The answer to Question 4 is 12.

Question 5:

  • Answer: The answer to Question 5 is C.

Make sure to double-check your answers with the answer key provided above. If you have any further questions or need clarification, please reach out to your teacher or instructor.

Understanding the Assignment

When starting any assignment, it is essential to have a clear understanding of what is expected of you. This includes carefully reading and analyzing the assignment instructions and requirements. By doing so, you can ensure that you are on the right track and addressing all the necessary aspects of the task.

In order to understand the assignment fully, it is important to pay attention to key phrases and instructions provided. These phrases often act as guiding principles that help you identify the main purpose and focus of the assignment. Some common phrases you may come across include “analyze,” “compare and contrast,” “evaluate,” and “discuss.” Each of these phrases requires a different approach and level of analysis, so it is crucial to recognize them and adapt your thinking accordingly.

Breaking down the assignment:

  • Analyze: In this type of assignment, you will need to examine the given topic or problem and break it down into its various components. This involves looking for patterns, relationships, and connections between different ideas.
  • Compare and contrast: These assignments require you to identify the similarities and differences between two or more concepts, ideas, or objects. You will need to explore both the commonalities and the distinctions in order to provide a comprehensive analysis.
  • Evaluate: When asked to evaluate, you are expected to assess the strengths, weaknesses, and effectiveness of a particular argument, theory, or approach. This requires critical thinking and the ability to provide evidence to support your evaluation.
  • Discuss: Discussions involve presenting different perspectives or viewpoints on a given topic. You will need to present arguments, provide evidence, and formulate your own opinion while engaging with the ideas of others.

By understanding the assignment clearly, you can set appropriate goals, organize your thoughts, and effectively communicate your ideas. Take the time to read the instructions thoroughly, take note of any key phrases, and clarify any doubts with your teacher or professor. This way, you can approach the assignment with confidence and produce a well-structured and insightful piece of work.

Question 1: Explanation

In question 1 of the homework, students were asked to identify the different parts of a cell. The correct answer includes the following:

  • Cell Membrane: This is a protective layer that surrounds the cell and regulates what enters and leaves.
  • Nucleus: The nucleus is the control center of the cell, containing genetic material and directing cell activities.
  • Cytoplasm: This is a gel-like substance that fills the cell and contains various organelles.
  • Ribosomes: Ribosomes are responsible for protein synthesis within the cell.
  • Mitochondria: Mitochondria are the powerhouses of the cell, converting food into energy.
  • Endoplasmic Reticulum: The endoplasmic reticulum is involved in the production and transport of proteins and lipids.
  • Golgi Apparatus: This organelle is responsible for modifying, sorting, and packaging proteins for transport.

By correctly identifying these parts of the cell, students demonstrate their understanding of cell structure and function.

Question 1: Answer

Question 1: Answer

In this question, we are asked to find the sum of the arithmetic series. The arithmetic series is given by the formula:

S = (n/2)(2a + (n-1)d)

Where S is the sum of the series, n is the number of terms, a is the first term, and d is the common difference between terms.

From the given information, we can determine that there are 15 terms in the series (n = 15), the first term is 3 (a = 3), and the common difference between terms is 2 (d = 2).

Plugging these values into the formula, we get:

S = (15/2)(2(3) + (15-1)(2))

Simplifying further, we have:

S = (15/2)(6 + 14(2))

S = (15/2)(6 + 28)

S = (15/2)(34) = 255

Therefore, the sum of the arithmetic series is 255.

Question 2: Explanation

Question 2: Explanation

The question asks: “How many meters is 12 kilometers?”. To convert kilometers to meters, we need to multiply the value by 1000. So, to find out how many meters is 12 kilometers, we multiply 12 by 1000:

12 kilometers = 12 * 1000 = 12,000 meters

Therefore, 12 kilometers is equal to 12,000 meters.

Question 2: Answer

For question 2, we need to find the solution to the equation: 4x + 7 = 15. To solve this equation, we need to isolate the variable x. We can do this by subtracting 7 from both sides of the equation:

Step 1: 4x + 7 – 7 = 15 – 7

After simplifying, we have:

4x = 8

Our next step is to divide both sides of the equation by 4 to solve for x:

Step 2: 4x/4 = 8/4

After simplifying, we have:

x = 2

Therefore, the solution to the equation 4x + 7 = 15 is x = 2.

Question 3: Explanation

The absolute value of a number is its distance from 0 on a number line, regardless of whether the number is positive or negative. For example, the absolute value of -5 is 5, because -5 is 5 units away from 0.

To solve this equation, we can set up two separate equations: one where the expression inside the absolute value is positive, and another where it is negative.

  • When x – 3 is positive, the expression becomes: x – 3 = 8. We can solve this equation by adding 3 to both sides, giving us x = 11.
  • When x – 3 is negative, the expression becomes: -(x – 3) = 8. We can simplify this equation by distributing the negative sign: -x + 3 = 8. Next, we can subtract 3 from both sides, giving us -x = 5. Finally, we multiply both sides by -1 to isolate x, resulting in x = -5.

Therefore, the solutions to this equation are x = 11 and x = -5.

Question 3: Answer

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