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

Like giving directions: go 3 blocks east, then 4 blocks north โ€” 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)(1, 2) and (7,6)(7, 6) as opposite corners. Find the center.

Example 2

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

Example 3

medium
If (a,3)(a, 3) and (7,3)(7, 3) are 55 apart and a<7a < 7, find aa.

Example 4

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

Example 5

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

Example 6

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

Example 7

easy
Is (2,9)(2, 9) in Quadrant I?

Example 8

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

Example 9

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

Example 10

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

Example 11

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

Example 12

medium
Give the ordered pair 33 units above (2,5)(2, 5).

Example 13

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

Example 14

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

Example 15

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

Example 16

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

Example 17

hard
Find kk so that (2,k)(2, k) is on the line y=3xโˆ’1y = 3x - 1.

Example 18

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

Example 19

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

Example 20

easy
What ordered pair is the origin?