Ordered Pair - Varsity Tutors

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Ordered Pair

Study Guide

Key Definition

An ordered pair is a set of two numbers contained within parentheses often representing a point on the Cartesian plane, such as \( (x, y) \).

Important Notes

  • The first number in \( (x, y) \) is the \( x \)-coordinate.
  • The second number in \( (x, y) \) is the \( y \)-coordinate.
  • Ordered pairs are used to plot points on graphs.
  • The Cartesian plane is named after Rene Descartes.
  • Ordered pairs connect algebra and geometry.

Mathematical Notation

$(x, y)$ represents an ordered pairRemember to use proper notation when solving problems

Why It Works

Ordered pairs help visualize algebraic equations, such as plotting $y = x - 3$ on the Cartesian plane.

Remember

Ordered pairs are fundamental in linking algebra with geometry.

Quick Reference

Example:$(5, 2)$ where 5 is the $x$-coordinate and 2 is the $y$-coordinate

Understanding Ordered Pair

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concept. Use space or enter to play video.concept thumbnailBeginner

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Beginner Explanation

An ordered pair is represented as $(x, y)$.Now showing Beginner level explanation.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice QuizBeginner

Which of the following is an ordered pair?

A$(5, 2)$B$5 + 2$C$5 - 2$D$5 \times 2$Check AnswerPlease select an answer for all 1 questions before checking your answers. 1 question remaining.2

Real-World Problem

Question ExerciseIntermediate

Teenager Scenario

Imagine you are plotting your friend's house location on a map using coordinates $(3, 4)$.Show AnswerClick to reveal the detailed solution for this question exercise.3

Thinking Challenge

Thinking ExerciseIntermediate

Think About This

Why is the order important in an ordered pair $(x, y)$?

Show AnswerClick to reveal the detailed explanation for this thinking exercise.

Recap

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Review key concepts and takeaways

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