For each of the problems below, use the strategies of removing zeros or adding/removing balanced sets so that all the x-variables are on one side and the unit tiles are on the other. Record your steps.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
Using legal moves, how do I move so that all x variable are on one side and unit tiles are on the other?
**Title: Solving Algebraic Equations with Visual Aids**

**Problem Instructions:**

For each of the problems below, use the strategies of removing zeros or adding/removing balanced sets so that all the x-variables are on one side and the unit tiles are on the other. **Record your steps.**

**Problem 7:**

- **Left Side:**
  - Contains a plus sign with one large rectangle labeled 'x'.
  - Below the line is a section with two small squares and a large rectangle labeled 'x' with a minus sign.

- **Right Side:**
  - Contains a plus sign with three large rectangles labeled 'x' and two small squares.
  - Below the line is a large rectangle labeled '-x'.

- **Question:** Which side is greater?

**Problem 8:**

- **Left Side:**
  - Contains a plus sign with four large rectangles labeled 'x' and one small square.
  - Below the line is a section with two small squares and a large rectangle labeled '-x'.

- **Right Side:**
  - Contains a plus sign with three large rectangles labeled 'x' and three small squares.
  - Below the line is a large rectangle labeled 'x'.

- **Question:** Which side is greater?

**Instructions for Solving:**

1. **Identify the x-variables and unit tiles on each side.** 
   - Move all x-variables to one side of the equation by adding or subtracting them from both sides.
   - Move all unit tiles to the opposite side.

2. **Simplify the equations by canceling out pairs of 'x' or unit tiles that appear on both sides.**

3. **Determine which side is greater by comparing the quantities of remaining 'x' tiles and unit tiles.**

**Reflect and Write Down:**

- After rearranging the variables and unit tiles, record the steps taken for each problem.
- Analyze which side has a greater value after simplification.

Use these strategies to better understand balancing equations and the concept of isolating variables.
Transcribed Image Text:**Title: Solving Algebraic Equations with Visual Aids** **Problem Instructions:** For each of the problems below, use the strategies of removing zeros or adding/removing balanced sets so that all the x-variables are on one side and the unit tiles are on the other. **Record your steps.** **Problem 7:** - **Left Side:** - Contains a plus sign with one large rectangle labeled 'x'. - Below the line is a section with two small squares and a large rectangle labeled 'x' with a minus sign. - **Right Side:** - Contains a plus sign with three large rectangles labeled 'x' and two small squares. - Below the line is a large rectangle labeled '-x'. - **Question:** Which side is greater? **Problem 8:** - **Left Side:** - Contains a plus sign with four large rectangles labeled 'x' and one small square. - Below the line is a section with two small squares and a large rectangle labeled '-x'. - **Right Side:** - Contains a plus sign with three large rectangles labeled 'x' and three small squares. - Below the line is a large rectangle labeled 'x'. - **Question:** Which side is greater? **Instructions for Solving:** 1. **Identify the x-variables and unit tiles on each side.** - Move all x-variables to one side of the equation by adding or subtracting them from both sides. - Move all unit tiles to the opposite side. 2. **Simplify the equations by canceling out pairs of 'x' or unit tiles that appear on both sides.** 3. **Determine which side is greater by comparing the quantities of remaining 'x' tiles and unit tiles.** **Reflect and Write Down:** - After rearranging the variables and unit tiles, record the steps taken for each problem. - Analyze which side has a greater value after simplification. Use these strategies to better understand balancing equations and the concept of isolating variables.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,