Worksheet: Distance and Midpoint between Two Points 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 𝐷 𝐶 + the length of 𝐹 𝐵 considering that a length unit is 1 cm.

Q3:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐶 𝐵 𝐴 considering a length unit = 1 c m .

Q4:

For which of these number lines can the distance shown be written as | 8 1 | ?

  • A
  • B
  • C
  • D
  • E

Q5:

Find the length of 𝐴 𝐵 .

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 𝐴 𝐶 .

Q8:

Consider the points 𝑋 ( 4 , 4 ) and 𝑌 ( 1 0 , 6 ) . Given that 𝑍 is the midpoint of 𝑋 𝑌 ,find 𝑋 𝑍 .

  • A 2 7 7 units
  • B 1 2 2 7 7 units
  • C8.5 units
  • D 7 4 units
  • E17 units

Q9:

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

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

Q10:

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

Q11:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐶 𝐵 𝐴 considering a length unit = 1 c m .

Q12:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐶 𝐵 𝐴 considering a length unit = 1 c m .

Q13:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐶 𝐵 𝐴 considering a length unit = 1 c m .

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 𝐷 𝐶 + the length of 𝐹 𝐵 considering that a length unit is 1 cm.

Q16:

The given figure represents the number line of integers. Find the length of 𝐷 𝐶 + the length of 𝐹 𝐵 considering that a length unit is 1 cm.

Q17:

The given figure represents the number line of integers. Find the length of 𝐷 𝐶 + the length of 𝐹 𝐵 considering that a length unit is 1 cm.

Q18:

Find the length of 𝐴 𝐵 .

Q19:

Find the length of 𝐴 𝐵 .

Q20:

Find the length of 𝐴 𝐵 .

Q21:

Find the length of 𝐴 𝐵 .

Q22:

Find the length of 𝐴 𝐵 .

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