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Algebra: Solving Basic Questions Step by Step

Lesson Details

Duration (minutes)
11
Grade Level
6-8
Summary
This Math Antics video introduces solving basic one-step algebraic equations using addition and subtraction. It explains equations as a balanced scale, where the same operation must be applied to both sides to keep them equal. Several worked examples show how to isolate a variable using inverse operations, including cases where the variable appears on the right side of the equation.

Video Overview & Key Concepts

In this video, students learn the foundational rules of solving basic one-step linear equations. Using the visual analogy of a balanced scale, the lesson demonstrates how to isolate variables using inverse operations of addition and subtraction.

  • Equation: A mathematical statement showing that two expressions are equal, like a balanced scale.
  • Variable: A letter (like x or N) representing an unknown number we need to solve for.
  • Inverse Operations: Opposite operations that undo each other, such as addition and subtraction.
  • Isolation: Getting the variable by itself on one side of the equal sign to find its value.

Student Worksheet: Algebra Basics – Solving Basic Equations (Part 1)

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Instructions: Read each question carefully and write your answer in the space provided. If you get stuck, use the timestamp next to the question to rewind the video above to that exact time!

  1. Question 1: According to the video, how is an algebraic equation similar to a balance scale?
    (See video @ 0:45)
  2. Question 2: What is the “Golden Rule” of algebra when performing an operation on an equation?
    (See video @ 2:10)
  3. Question 3: What is the inverse (opposite) operation of addition?
    (See video @ 3:15)
  4. Question 4: Solve for x: x + 3 = 8. Show the step you used to isolate x.
    (See video @ 4:30)
  5. Question 5: Solve for x: 10 = x + 4.
    (See video @ 7:50)
Click to reveal Teacher Answer Key
  • 1: Whatever is on the left side must equal whatever is on the right side to keep the equation balanced. [Explained @ 0:45]
  • 2: Whatever you do to one side of the equal sign, you MUST do to the other side. [Explained @ 2:10]
  • 3: Subtraction. [Explained @ 3:15]
  • 4: x = 5 (Subtract 3 from both sides: 8 – 3 = 5). [Explained @ 4:30]
  • 5: x = 6 (Subtract 4 from both sides: 10 – 4 = 6). [Explained @ 7:50]

 

Disclaimer: This worksheet was generated with AI assistance based on publicly available educational content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

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