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How Algebra fits in Real-life Situation

Assignment

This week’s assignment will reflect on understanding how algebra fits into real-life scenarios, and you will work on:

• Understanding the study skills necessary for success in this course, getting ready for the course, tips for success, and managing time.
• Integers and solving equations that represent real-life situations using integers.
• Solving equations and problem-solving using properties of numbers for like terms, multiplication, and solving for the perimeter of triangles and area of a rectangle.

Part 1

After reading Chapter 1, Section 1.1., summarize in 500+ words answer the following questions and write what resonated with you and your takeaways for this Module.

Part 2

Answer the following questions:

1. Define the following and give examples:
   1. Expression
   2. Constant
   3. Absolute value
   4. Integer
2. What is the absolute value: |-x| if x = -6
3. Add: 34 + (-12) + (-11) + 213
4. True/False: The sum of a positive number and a negative number is always a negative number.
5. Explain the differences between the addition property of equality and the multiplication property of equality.
6. How do you find the perimeter of a triangle?  Area of a rectangle?  Share the formula and show it in a diagram.
7. What is the difference between an expression and an equation?
8. What are the steps for “Solving an Equation” and explain?
9. List the four steps of “Problem Solving” and elaborate on each step.

• Expression: An expression is a combination of variables, constants, and operators that are used to represent a value or a calculation. For example, 2x + 5 is an expression that involves the variable x, the constant 2, and the operator +.
• Constant: A constant is a fixed value that does not change during the execution of a program or the evaluation of an expression. For example, in the expression 3x + 7, the constant is 7.
• Absolute value: The absolute value of a number is the distance of the number from zero on a number line, regardless of whether the number is positive or negative. The absolute value is always positive. For example, the absolute value of -3 is 3, and the absolute value of 5 is also 5.
• Integer: An integer is a whole number that does not have a fractional part. Integers can be positive, negative, or zero. For example, -3, 0, and 7 are all integers.
• |-x| if x = -6: The absolute value of -6 is 6. Therefore, |-6| = 6.
• 34 + (-12) + (-11) + 213: Adding these numbers together, we get:

34 + (-12) + (-11) + 213 = 224 – 23 = 201

Therefore, the sum of 34, -12, -11, and 213 is 201.