### Interactive Coordinate Plotting and Mathematical Problem Solving#### Coordinate Plot Activity**Instruction:** Plot the points below and fill in the blanks with the correct coordinates.**Graph Description:**A grid is provided with an x-axis and y-axis. Points are marked with letters.- The x-axis and y-axis are divided into units, forming a Cartesian plane.**Coordinates to Identify:**- A: (6, 0)- B: _____ (Point B is at (4.5, 5))- C: (-3, 5)- D: _____ (Point D is at (-5.5, 0))- E: (-3, -5)- F: _____ (Point F is at (4.5, -5))**Instruction:** Connect the dots in alphabetical order. What’s the name of the shape they form?#### Solving Equations and Inequalities**Instruction:** Solve the below equations and inequalities for the given variable.1. $8 - 6n = -64$2. $10(x - 5) = -10$3. $-5 = 1 - 8n + 5n$4. $1 - 2x + 2 < -1$#### Conversion and Discount Calculation**Instruction:** In your own words, explain how to convert a percentage into a decimal.**Instruction:** If a T-shirt costs $15 and you have a coupon for 25% off, how much will the final cost of the T-shirt be? (don’t include tax)**Explanation:** To convert a percentage into a decimal, divide the percentage by 100. For example, 25% becomes 0.25.**Calculation:** 1. Determine the discount amount: $15 × 0.25 = $3.75.2. Subtract the discount from the original price: $15 - $3.75 = $11.25.3. The final cost of the T-shirt is $11.25.This activity encourages understanding of coordinates, solving algebraic equations, and performing basic percentage calculations. It is designed to enhance both mathematical skills and practical application in real-world scenarios.

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Plot the points below and fill in the blanks with the correct coordinates. O B D A: (6, 0) B: C: (-3, 5) D: E: (-3, -5) F: Connect the dots in alphabetical order. What's the name of the shape they form?

Plot the points below and fill in the blanks with the correct coordinates. O B D A: (6, 0) B: C: (-3, 5) D: E: (-3, -5) F: Connect the dots in alphabetical order. What's the name of the shape they form?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

### Interactive Coordinate Plotting and Mathematical Problem Solving

#### Coordinate Plot Activity
**Instruction:** Plot the points below and fill in the blanks with the correct coordinates.

**Graph Description:**
A grid is provided with an x-axis and y-axis. Points are marked with letters.

- The x-axis and y-axis are divided into units, forming a Cartesian plane.

**Coordinates to Identify:**
- A: (6, 0)
- B: _____ (Point B is at (4.5, 5))
- C: (-3, 5)
- D: _____ (Point D is at (-5.5, 0))
- E: (-3, -5)
- F: _____ (Point F is at (4.5, -5))

**Instruction:** Connect the dots in alphabetical order. What’s the name of the shape they form?

#### Solving Equations and Inequalities
**Instruction:** Solve the below equations and inequalities for the given variable.

1. $8 - 6n = -64$
2. $10(x - 5) = -10$
3. $-5 = 1 - 8n + 5n$
4. $1 - 2x + 2 < -1$

#### Conversion and Discount Calculation

**Instruction:** In your own words, explain how to convert a percentage into a decimal.

**Instruction:** If a T-shirt costs $15 and you have a coupon for 25% off, how much will the final cost of the T-shirt be? (don’t include tax)

**Explanation:** To convert a percentage into a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

**Calculation:**
1. Determine the discount amount: $15 × 0.25 = $3.75.
2. Subtract the discount from the original price: $15 - $3.75 = $11.25.
3. The final cost of the T-shirt is $11.25.

This activity encourages understanding of coordinates, solving algebraic equations, and performing basic percentage calculations. It is designed to enhance both mathematical skills and practical application in real-world scenarios.

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