Introduction
Welcome to the lesson 14 homework 3.5 answer key! In this article, we will be diving into the solutions for each question, providing you with a comprehensive guide to help you understand and complete your homework successfully. So, grab your pen and paper, and let’s unveil the solutions together!
Lesson 14 Homework 3.5 Answer Key: Unveiling the Solutions
Let’s start by unraveling the solutions to the questions in your lesson 14 homework 3.5. In this section, we will go through each question one by one, providing a step-by-step explanation of how to arrive at the correct answer.
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Question 1:
The first question asks you to find the area of a rectangle with a length of 10 units and a width of 5 units. To solve this, you simply multiply the length and width together: 10 * 5 = 50 square units. Therefore, the area of the rectangle is 50 square units. -
Question 2:
The second question involves solving a system of equations. You are given two equations: 2x + y = 10 and 3x – 2y = 4. To find the values of x and y that satisfy both equations, you can use the method of substitution or elimination. After performing the necessary calculations, you will find that x = 2 and y = 6. Hence, the solution to the system of equations is x = 2 and y = 6. -
Question 3:
In question 3, you are asked to evaluate the expression 3x^2 – 5x + 2 for x = 4. To solve this, substitute the value of x into the expression: 3(4)^2 – 5(4) + 2 = 3(16) – 20 + 2 = 48 – 20 + 2 = 30. Therefore, when x = 4, the value of the expression is 30.
Congratulations! You have now explored the lesson 14 homework 3.5 answer key. By following the step-by-step explanations provided, you should have successfully solved each question and gained a better understanding of the concepts covered. Remember, practice makes perfect, so don’t hesitate to revisit any challenging questions to reinforce your knowledge. Keep up the good work and stay motivated in your learning journey!
