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Lesson: Distance and Midpoint between Two Points on a Number Line

Sample Question Videos

Worksheet • 22 Questions • 1 Video

Q1:

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

  • A | | | 1 5 βˆ’ ο€Ό βˆ’ 4 5  | | |
  • B βˆ’ 1 5 βˆ’ 4 5
  • C | | | 1 5 βˆ’ 4 5 | | |
  • D 1 5 βˆ’ 4 5
  • E | | | βˆ’ 1 5 βˆ’ ο€Ό βˆ’ 4 5  | | |

Q2:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐢 βˆ’ 𝐡 𝐴 considering a length unit = 1 c m .

Q3:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐢 βˆ’ 𝐡 𝐴 considering a length unit = 1 c m .

Q4:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐢 βˆ’ 𝐡 𝐴 considering a length unit = 1 c m .

Q5:

If the figure below represents the line of integer numbers, find the length of 𝐷 𝐢 βˆ’ 𝐡 𝐴 considering a length unit = 1 c m .

Q6:

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

Q7:

Find the length of 𝐴 𝐢 .

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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

Q13:

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

Q14:

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

  • A
  • B
  • C
  • D
  • E

Q15:

Consider the points 𝑋 ( 4 , βˆ’ 4 ) and π‘Œ ( βˆ’ 1 0 , 6 ) . Given that 𝑍 is the midpoint of 𝑋 π‘Œ ,find 𝑋 𝑍 .

  • A √ 7 4 units
  • B17 units
  • C 1 2 √ 2 7 7 units
  • D8.5 units
  • E √ 2 7 7 units

Q16:

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

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

Q17:

Find the length of 𝐴 𝐡 .

Q18:

Find the length of 𝐴 𝐡 .

Q19:

Find the length of 𝐴 𝐡 .

Q20:

Find the length of 𝐴 𝐡 .

Q21:

Find the length of 𝐴 𝐡 .

Q22:

Find the length of 𝐴 𝐡 .

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