Practice Number Line in Math

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

Quick Recap

A straight line where each point represents a number, with equal spacing giving a visual model of all real numbers. The number line extends infinitely in both directions, with negative numbers to the left of zero and positive numbers to the right, providing a geometric representation of order and distance.

Numbers live in order on a line—smaller to the left, larger to the right.

Showing a random 20 of 50 problems.

Example 1

hard
Sketch the set of x satisfying ∣x∣<3 and describe it on the number line.

Example 2

hard
A frog at 0 takes jumps of +3 and −2 in any order. After 10 jumps total, 6 of them positive and 4 negative, where does the frog land?

Example 3

medium
Find the midpoint of −6 and 4 on the number line.

Example 4

medium
Plot −52 on a number line. Between which two consecutive integers does it lie?

Example 5

easy
Where does 14 sit between 0 and 1: closer to 0 or to 1?

Example 6

easy
On a number line, point A is at −4 and point B is at 6. Find the midpoint of AB and the distance AB.

Example 7

medium
The distance between x and 3 is 5, and x<3. Find x.

Example 8

medium
On the number line, what is the midpoint of −7 and 5?

Example 9

easy
Order from least to greatest: −3, 0, −1, 2.

Example 10

easy
Which point is to the left of 0: −1 or 4?

Example 11

medium
List the integers strictly between −2 and 3 on the number line.

Example 12

medium
Point P is at 2. Point Q is its opposite. How far apart are P and Q?

Example 13

easy
On a number line, which is farther to the right: −2 or 3?

Example 14

easy
Where does the fraction 12 sit on the number line between 0 and 1?

Example 15

medium
What is the opposite of −7?

Example 16

medium
Between which two consecutive integers does −2.7 lie?

Example 17

medium
List all integers strictly between −4 and 3 on the number line.

Example 18

hard
Solve ∣x−4∣=6 on the number line.

Example 19

easy
What number is halfway between 4 and 12?

Example 20

hard
Find x if the distance from x to −2 is 5 and x<0.