Solution Set for Lesson 3 Homework 3.5

To complete this task successfully, focus on identifying the correct calculations and processes in each step. Ensure that all operations are applied correctly to avoid errors. Below are the precise solutions for each problem.

1. Problem 1: Begin by solving the equation for the unknown variable. For example, if the equation is “x + 7 = 12,” subtract 7 from both sides to get x = 5. Always isolate the variable.

2. Problem 2: This exercise involves simplifying fractions. To do this, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. For instance, simplify “8/12” to “2/3” by dividing both by 4.

3. Problem 3: Focus on solving multi-step word problems. Carefully extract the data from the problem, set up an equation, and then solve it step by step. Ensure every calculation follows logically from the previous one.

By reviewing these solutions, you’ll gain clarity on the necessary steps to tackle similar problems. Practice applying these methods to reinforce your understanding and improve your problem-solving skills.