Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
Algebra Review
100

What is the distance formula?

d=√(x₂-x₁)²+(y₂-y₁)²

100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
100

Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?

√10 or 3.16

100

Kyle was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Kyle located at?

(-3,0)

100
x/5=8
What is x = 40
200

What is the distance between (8,11) and (8,4)?

7

200
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
200
The teacher stands at (4,2) and a student is sitting at (2,2). What is the distance between the teacher and students?
2
200
Sharon is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
200
x+2 = 8
What is x = 6
300
Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.
√29 or 5.39
300
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
300
Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?
√41 or 6.4
300
Henry just got out of school and he can either go to the library or to the mall. If the two places are equidistances from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?
(-3,6)
300
2(x-10) = -10
What is x = 5
400

If a leg of a triangle is 3 meters long and its hypotenuse is 5 meters long... What is the length of the other leg?

4 meters
400

Find the Endpoint of the line segment which has a midpoint at( 1, - 4 ) and a endpoint at ( 0 , 2 ).

(2,-10)

400
To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?
√20 or 4.47
400
Tommy is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Tommy is sitting between them, where is Tommy located at?
(-3,-1)
400
(2x+5)/3 = 9
What is x = 11
500

Classify triangle ABC as scalene, isosceles, or equilateral A(-4,3), B(4,3), C(0,4). (Scalene means the lengths are all different, isosceles means all the 2 sides are the same, Equilateral means all sides are the same.)

isosceles

500

If one endpoint of a segment is (-2,3) and the midpoint is (3,4) What is the coordinate for missing endpoint?

(8 , 5)

500

A triangle has a leg of 6.5 cm and another leg of 8.9 cm, what is the length of the hypotenuse?

√121or 11.02

500
Lily is deciding between dessert or Teaway. Teaway is at (5,6) and the dessert house is at (9,-3). If Lily is standing in between them, where is she?
(7,1.5)
500

(x+4)/(x+1) = 3/6

What is x = -7

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