Lesson 4 Homework: Answer Key – A Guide to Success
This comprehensive guide provides answer keys and explanations for Lesson 4 homework. Remember, understanding the why behind the answers is just as important as getting the right solution. We'll break down each problem, offering detailed explanations to solidify your understanding of the concepts covered in Lesson 4.
Note: This answer key assumes a specific lesson plan. Please replace the examples below with the actual questions from your Lesson 4 homework. The structure and approach, however, will remain valuable regardless of the specific content.
Section 1: Algebraic Expressions
Problem 1: Simplify the expression: 3x + 5y - 2x + 7y
Answer: x + 12y
Explanation: Combine like terms. 3x and -2x combine to give x. 5y and 7y combine to give 12y.
Problem 2: Evaluate the expression 2a² + 3b when a = 4 and b = -2.
Answer: 26
Explanation: Substitute the values of a and b into the expression. 2(4)² + 3(-2) = 2(16) - 6 = 32 - 6 = 26
Section 2: Geometry
Problem 1: Find the area of a rectangle with length 8cm and width 5cm.
Answer: 40 cm²
Explanation: The area of a rectangle is calculated by multiplying its length and width: Area = length × width = 8cm × 5cm = 40 cm²
Problem 2: Calculate the perimeter of a square with sides of 7m.
Answer: 28m
Explanation: The perimeter of a square is four times the length of one side: Perimeter = 4 × side = 4 × 7m = 28m
Section 3: Word Problems
Problem 1: John has 15 apples, and he gives 5 to his friend. How many apples does John have left?
Answer: 10 apples
Explanation: Subtract the number of apples given away from the initial number of apples: 15 - 5 = 10
Problem 2: A train travels at a speed of 60 km/h for 3 hours. What distance does the train cover?
Answer: 180 km
Explanation: Distance = speed × time = 60 km/h × 3h = 180 km
Further Learning and Resources:
This answer key aims to provide a solid foundation. For a deeper understanding, consider reviewing your lesson notes, textbook, or seeking help from your teacher or tutor. Remember that consistent practice is key to mastering these concepts.
Author Bio: [Insert your name/pen name and a brief bio highlighting your expertise in the relevant subject matter. For example: Written by [Your Name], a seasoned math educator with 10 years of experience helping students succeed. ]
This detailed answer key, with its clear explanations and focus on understanding, provides a valuable resource for students. The addition of a call to action (reviewing notes, seeking help) and author bio enhances credibility and encourages engagement. Remember to replace the example problems with your actual homework problems to make this a truly useful guide.
