Choose the appropriate drawing where the dots appear: $$ (6,6),\lparen-3,0) $$

–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 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 –6 –6 –6 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6

Choose the appropriate drawing where the dots appear: $$ (1,3),\lparen2,5),(3,3) $$

–8 –8 –8 –7 –7 –7 –6 –6 –6 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 0 0 0

–7 –7 –7 –6 –6 –6 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 0 0 0

Choose the appropriate drawing where the dots appear: $$ (-5,1),\lparen7,0),(-4,-1) $$

–7 –7 –7 –6 –6 –6 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 0 0 0

–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 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 –6 –6 –6 –5 –5 –5 –4 –4 –4 –3 –3 –3 –2 –2 –2 –1 –1 –1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7

Ordered Pairs Practice Problems and Solutions - Math Help

Master ordered pairs with step-by-step practice problems. Learn to identify coordinates, plot points, and solve function equations with detailed examples and solutions.

📚Master Ordered Pairs with Interactive Practice

Identify and write ordered pairs (X, Y) from coordinate graphs
Calculate Y values from given X values in linear equations
Plot ordered pairs accurately on coordinate planes
Determine which ordered pairs belong to specific functions
Solve for missing coordinates in ordered pair problems
Apply ordered pairs to real-world coordinate system scenarios

Understanding Ordered Pair

Complete explanation with examples

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 $(X, Y)$ where the value on the left within the parentheses $X$ represents the solution, while the value on the right within the parentheses $Y$ represents the function value, that is, the result.

When the function is represented by an equation, then $X$ is the value placed in the equation, while $Y$ 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 $X$ 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 $Y$ 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

Test your knowledge with 2 quizzes

Choose the appropriate drawing where the dots appear:

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

Examples with solutions for Ordered Pair

Step-by-step solutions included

Exercise #1

Which point is marked on the map?

Step-by-Step Solution

Answer:

$(5,3)$

Video Solution

Exercise #2

Which point is marked on the graph?

Step-by-Step Solution

Answer:

$(6,1)$

Video Solution

Exercise #3

Which figure shows the following points?

$(-4,4),(-2,2),(-4,-2)$

Step-by-Step Solution

Answer:

Video Solution

Exercise #4

Choose the figure that shows the following points:

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

Step-by-Step Solution

Answer:

Video Solution

Exercise #5

Choose the figure that shows the following points:

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

Step-by-Step Solution

Answer:

Video Solution

Frequently Asked Questions

Everything you need to know about Ordered Pair

What is an ordered pair in math?

An ordered pair is a pair of numbers written as (X, Y) that represent coordinates on a coordinate plane. The first number (X) is the horizontal position, and the second number (Y) is the vertical position. Order matters - (2, 3) is different from (3, 2).

How do you find ordered pairs from a linear equation?

To find ordered pairs from a linear equation like Y = 2X - 3: 1) Choose an X value, 2) Substitute it into the equation, 3) Solve for Y, 4) Write the result as (X, Y). For example, if X = 2, then Y = 2(2) - 3 = 1, giving the ordered pair (2, 1).

How do you read ordered pairs from a graph?

To read an ordered pair from a graph, locate the point and draw imaginary vertical and horizontal lines to the axes. The X-coordinate is where the vertical line meets the X-axis, and the Y-coordinate is where the horizontal line meets the Y-axis.

What's the difference between independent and dependent variables in ordered pairs?

In an ordered pair (X, Y), X is the independent variable (input value you choose), and Y is the dependent variable (output that depends on X). For example, in Y = X + 3, you pick any X value, and Y depends on that choice.

Can ordered pairs have negative numbers?

Yes, ordered pairs can contain negative numbers. Examples include (-2, 4), (3, -1), or (-5, -7). Negative X values are to the left of the origin, and negative Y values are below the origin on a coordinate plane.

How do you check if an ordered pair is a solution to an equation?

Substitute the X and Y values from the ordered pair into the equation. If both sides are equal, it's a solution. For example, to check if (3, 3) works in Y = 2X - 3: substitute to get 3 = 2(3) - 3 = 3. Since both sides equal 3, it's a valid solution.

What does it mean when an ordered pair is on the X-axis or Y-axis?

When an ordered pair is on the X-axis, its Y-coordinate is 0, like (4, 0). When it's on the Y-axis, its X-coordinate is 0, like (0, 3). The origin (0, 0) is the point where both axes intersect.

Why is order important in ordered pairs?

Order is crucial because (X, Y) and (Y, X) represent completely different points unless X = Y. The first number always represents the horizontal position (X-coordinate), and the second represents the vertical position (Y-coordinate). Switching them changes the location on the coordinate plane.

Continue Your Math Journey

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