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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 8 and KFC is located at 22, what coordinate is Kyle located at?

15

100

Combine like terms.

2x-12+3x-18

What is 5x-30

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

A teacher is standing in the classroom at the coordinate -3 and a student is sitting at the coordinate 14. What is the distance between the teacher and student?

17

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

3x+2 = 8

What is x = 2

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?

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?

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

1/3(2x+5)=7

What is x = 8

500

The length of AB is 17. 

Given: A (1,2) and B (9, y). 

Find the two possible values of y.

-13 and 17

500

A Circle has a diameter of having endpoints at (-8,6) and (4,-4). What are the coordinates of the center of the circle?

(-2, 1)

500

On a number line, point Q is 2/5 the distance from points A and B. A is located at -19 and B is located at -11. What is the coordinate of point Q?

-14

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

3x-5=2x+10

What is x = 15