Ordered pair - Examples, Exercises and Solutions

As we have already learned, Coordinate System has two axes and, therefore, any value defined by this coordinate system must include two values. These two values are called "ordered pairs".

What is an ordered pair?

An ordered pair is a pair of numbers that "belong" to a function.

An ordered pair is generally represented in parentheses (X,Y) (X, Y) where the value on the left within the parentheses X X represents the solution, while the value on the right within the parentheses Y Y represents the function value, that is, the result.

An ordered pair is a pair of numbers that belong to a function.
  • When the function is represented by an equation, then X X is the value placed in the equation, while Y Y is the result obtained.
  • When the function is represented through a graph, each point on the graph is essentially an ordered pair. That is, if we move vertically from the point to the X X axis (the axis runs from left to right), we obtain the value on the left within the parentheses. Conversely, if we move from the point vertically to the Y Y axis (the axis that goes from bottom to top), we obtain the correct value within the parentheses.

An ordered pair represents virtually all the points on the function graph

Detailed explanation

Practice Ordered pair

Question 1

Which point is marked on the graph?

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–3–3–3–2–2–2–1–1–1111222333000

Question 2

Which point is marked on the map?

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–3–3–3–2–2–2–1–1–1111222333000

Question 3

Choose the appropriate drawing where the dots appear:

\( (-5,1),\lparen7,0),(-4,-1) \)

Question 4

Choose the appropriate drawing where the dots appear:

\( (1,3),\lparen2,5),(3,3) \)

Question 5

Choose the appropriate drawing where the dots appear:

\( (1,0),\lparen-2,-2),(-5,4) \)

examples with solutions for ordered pair

Exercise #1

Which point is marked on the graph?

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–3–3–3–2–2–2–1–1–1111222333000

Video Solution

Answer

(6,1) (6,1)

Exercise #2

Which point is marked on the map?

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–3–3–3–2–2–2–1–1–1111222333000

Video Solution

Answer

(5,3) (5,3)

Exercise #3

Choose the appropriate drawing where the dots appear:

(−5,1),(7,0),(−4,−1) (-5,1),\lparen7,0),(-4,-1)

Video Solution

Answer

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555000

Exercise #4

Choose the appropriate drawing where the dots appear:

(1,3),(2,5),(3,3) (1,3),\lparen2,5),(3,3)

Video Solution

Answer

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111–4–4–4–3–3–3–2–2–2–1–1–1111222333444555000

Exercise #5

Choose the appropriate drawing where the dots appear:

(1,0),(−2,−2),(−5,4) (1,0),\lparen-2,-2),(-5,4)

Video Solution

Answer

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555000

Question 1

Choose the appropriate drawing where the dots appear:

\( (6,6),\lparen-3,0) \)

Question 2

Choose the figure that shows the following points:

\( (2,0),(2,4),(6,-2) \)

Question 3

Choose the figure that shows the following points:

\( (2,-2),(-4,0),(0,3) \)

Question 4

Which figure shows the following points?

\( (-4,4),(-2,2),(-4,-2) \)

examples with solutions for ordered pair

Exercise #1

Choose the appropriate drawing where the dots appear:

(6,6),(−3,0) (6,6),\lparen-3,0)

Video Solution

Answer

–10–10–10–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666

Exercise #2

Choose the figure that shows the following points:

(2,0),(2,4),(6,−2) (2,0),(2,4),(6,-2)

Video Solution

Answer

–3–3–3–2–2–2–1–1–1111222333444555666777888999–3–3–3–2–2–2–1–1–1111222333444000

Exercise #3

Choose the figure that shows the following points:

(2,−2),(−4,0),(0,3) (2,-2),(-4,0),(0,3)

Video Solution

Answer

–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444000

Exercise #4

Which figure shows the following points?

(−4,4),(−2,2),(−4,−2) (-4,4),(-2,2),(-4,-2)

Video Solution

Answer

–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444000

Topics learned in later sections

  1. Coordinate System