Week 2 Assignment Linear Equations and Problem Solving
Week 2: Linear Equations and Problem-Solving Assignment
Textbook: OpenStax Intermediate Algebra
Chapter 2: Linear Equations and Problem Solving
📚 Learning Objectives
By the end of this week, you should be able to:
- Solve linear equations in one variable
- Use properties of equality to isolate variables
- Solve equations with fractions and decimals
- Translate and solve real-world problems using linear equations
🔢 Part 1: Practice Problems
Solve the following. Show all steps clearly.
- Solve for xxx:
a. 3x−5=103x – 5 = 103x−5=10
b. x4+7=10\frac{x}{4} + 7 = 104x​+7=10
c. 0.6x−1.2=2.40.6x – 1.2 = 2.40.6x−1.2=2.4
d. 5(x−2)=3x+45(x – 2) = 3x + 45(x−2)=3x+4 - Check your solutions by substituting them back into the original equations.
- Word Problems (Write and solve an equation):
a. Maria bought 3 notebooks and a pen for $11. The pen costs $2. How much is each notebook?
b. A plumber charges a $50 service fee plus $35 per hour. If the total bill was $195, how many hours did the plumber work?
💬 Part 2: Assignment
Solving linear equations is a skill used in everyday problem-solving—from figuring out budgets to calculating distances and rates.
Describe a situation from your life where you had to solve for an unknown (like price, distance, or time). How did you set up and solve the problem? What kind of equation would represent it?