Practice Ordered Pairs in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

An ordered pair (x,y) is a pair of numbers used to locate a point on the coordinate plane, where x is the horizontal position and y is the vertical position.

Like giving directions: go 3 blocks east, then 4 blocks north — the order matters because (3, 4) is a different spot than (4, 3).

Showing a random 20 of 50 problems.

Example 1

hard
A rectangle has vertices (1,2) and (7,6) as opposite corners. Find the center.

Example 2

medium
List the ordered pairs for y=x at x=0,1,2.

Example 3

medium
If (a,3) and (7,3) are 5 apart and a<7, find a.

Example 4

hard
Triangle has vertices (0,0), (6,0), (0,4). Find its area.

Example 5

easy
Which quadrant sign pattern does (+,+) describe?

Example 6

medium
The midpoint of (0,0) and (6,8) is which ordered pair?

Example 7

easy
Is (2,9) in Quadrant I?

Example 8

hard
Are (1,2), (3,6), (5,10) collinear?

Example 9

hard
If (a,b) is in Quadrant IV and ∣a∣=3, ∣b∣=7, find (a,b).

Example 10

medium
Reflect (3,5) over the x-axis. Give the new pair.

Example 11

medium
Reflect (3,7) over the x-axis.

Example 12

medium
Give the ordered pair 3 units above (2,5).

Example 13

easy
In (4,7), what is the y-coordinate?

Example 14

medium
Points (2,1) and (2,6) — what kind of segment joins them?

Example 15

medium
A rectangle has corners (0,0), (5,0), (5,3). Give the fourth corner.

Example 16

medium
If (a,2) and (7,2) are 4 apart horizontally, find a (a < 7).

Example 17

hard
Find k so that (2,k) is on the line y=3x−1.

Example 18

medium
What is the distance between (1,4) and (1,9)?

Example 19

medium
Is the point (4,12) on the line y=3x?

Example 20

easy
What ordered pair is the origin?