Worksheet: Distance and Midpoint on a Number Line

In this worksheet, we will practice finding the distance between two points on a number line by finding the algebraic difference as well as the midpoint between them.

Q1:

Point 𝐷 bisects the segment between 𝐴 and 𝐵. What number is 𝐷 at?

Q2:

The given figure represents the number line of integers. Find the length of 𝐷𝐶 + the length of 𝐹𝐵 considering that a length unit is 1 cm.

Q3:

If the figure below represents the line of integer numbers, find the length of 𝐷𝐶𝐵𝐴 considering a length unit =1cm.

Q4:

For which of these number lines can the distance shown be written as |81|?

  • A
  • B
  • C
  • D
  • E

Q5:

Find the length of 𝐴𝐵.

  • A1 length unit
  • B11 length units
  • C5 length units
  • D6 length units

Q6:

Using the given number line, write the expression that represents the distance between 𝐴 and 𝐵.

  • A 1 5 4 5
  • B 1 5 4 5
  • C | | | 1 5 4 5 | | |
  • D | | | 1 5 4 5 | | |
  • E | | | 1 5 4 5 | | |

Q7:

Find the length of 𝐴𝐶.

Q8:

Consider the points 𝑋(4,4) and 𝑌(10,6). Given that 𝑍 is the midpoint of 𝑋𝑌,find 𝑋𝑍.

  • A 2 7 7 units
  • B8.5 units
  • C 7 4 units
  • D 1 2 2 7 7 units
  • E17 units

Q9:

Given 𝐾(9,2) and 𝐶(3,4) and that 𝐹 is the midpoint of 𝐾𝐶, find 𝐾𝐹.

  • A 1 0 units
  • B 2 1 0 units
  • C 3 5 units
  • D 1 5 3 units
  • E 6 5 units

Q10:

On the given number line, points 𝐴 and 𝐵 represent the numbers 0 and 16, respectively. Determine the length of 𝐴𝐵.

Q11:

If the figure below represents the line of integer numbers, find the length of 𝐷𝐶𝐵𝐴 considering a length unit =1cm.

Q12:

If the figure below represents the line of integer numbers, find the length of 𝐷𝐶𝐵𝐴 considering a length unit =1cm.

Q13:

If the figure below represents the line of integer numbers, find the length of 𝐷𝐶𝐵𝐴 considering a length unit =1cm.

Q14:

Point 𝐷 bisects the segment between 𝐴 and 𝐵. What number is 𝐷 at?

Q15:

The given figure represents the number line of integers. Find the length of 𝐷𝐶 + the length of 𝐹𝐵 considering that a length unit is 1 cm.

Q16:

The given figure represents the number line of integers. Find the length of 𝐷𝐶 + the length of 𝐹𝐵 considering that a length unit is 1 cm.

Q17:

The given figure represents the number line of integers. Find the length of 𝐷𝐶 + the length of 𝐹𝐵 considering that a length unit is 1 cm.

Q18:

Find the length of 𝐴𝐵.

  • A5 length units
  • B7 length units
  • C1 length unit
  • D6 length units

Q19:

Find the length of 𝐴𝐵.

  • A3 length units
  • B7 length units
  • C2 length units
  • D5 length units

Q20:

Find the length of 𝐴𝐵.

  • A3 length units
  • B13 length units
  • C5 length units
  • D8 length units

Q21:

Find the length of 𝐴𝐵.

  • A3 length units
  • B11 length units
  • C4 length units
  • D7 length units

Q22:

Find the length of 𝐴𝐵.

  • A4 length units
  • B6 length units
  • C1 length unit
  • D5 length units

Q23:

Use the drawn number line to find the rational number 𝑥.

  • A 1 1 2 1
  • B 1 1 8 4
  • C 3 7
  • D 2 5 8 4

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