Below is the answer key for Lesson 3 Homework 1-5. Please note that these are just suggested answers, and other valid responses may be possible.
Homework 1
Question 1: Evaluate the following expression: 3 + 7
Answer: The expression evaluates to 10.
Question 2: Simplify the expression: 4 * 5 + 2
Answer: The expression simplifies to 22.
Question 3: Find the value of x: 2x – 8 = 10
Answer: To find the value of x, we add 8 to both sides of the equation: 2x = 18. Then, we divide both sides by 2: x = 9.
Homework 2
Question 1: Simplify the expression: 6 / 2 + 3
Answer: The expression simplifies to 6.
Question 2: Evaluate the following expression: 5 – (2 * 3)
Answer: The expression evaluates to -1.
Homework 3
Question 1: Solve the equation: x + 4 = 7
Answer: To solve the equation, we subtract 4 from both sides: x = 3.
Question 2: Simplify the expression: 2 + 3 * 4
Answer: The expression simplifies to 14.
Homework 4
Question 1: Evaluate the following expression: 8 / (2 + 2)
Answer: The expression evaluates to 2.
Question 2: Solve the equation: 2x – 5 = 7
Answer: To solve the equation, we add 5 to both sides: 2x = 12. Then, we divide both sides by 2: x = 6.
Homework 5
Question 1: Simplify the expression: 12 / (2 * 2 + 4)
Answer: The expression simplifies to 2.
Question 2: Find the value of x: 3x + 5 = 20
Answer: To find the value of x, we subtract 5 from both sides: 3x = 15. Then, we divide both sides by 3: x = 5.
These are the suggested answers for Lesson 3 Homework 1-5. Remember to double-check your work and ask your instructor if you have any questions or need further clarification.
Exploring other methods for checking answers in Lesson 3 homework
There are several methods that can be used to check answers in Lesson 3 homework. One method is to use a calculator to verify calculations. This can be done by re-performing the calculations using a calculator and comparing the results to the original answer. If the numbers match, then the answer is correct. Another method is to use a reference book or online resource to find the solution to a problem. This can be done by looking up the problem in a textbook or searching for the answer online. If the solution found matches the original answer, then it is likely correct.
Another way to check answers is to use a proof or logical reasoning. This involves using logical steps to show that the answer is correct. For example, if the problem asks for the value of x and the answer is x = 3, the student can substitute 3 into the original equation and check if it satisfies the equation. If it does, then the answer is correct. Additionally, students can check their work by solving the problem using a different method or approach. If both methods yield the same answer, then it is likely correct.
Using the answer key provided by the teacher is another method of checking answers in Lesson 3 homework. This involves comparing the answers given by the teacher with the student’s own answers. If the answers match, then the student can be confident that their answers are correct. However, it is important to note that the answer key may contain errors, so it is always a good idea to double-check the answers using other methods as well. By exploring different methods for checking answers, students can ensure the accuracy of their work and improve their understanding of the material.