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