Midpoints, Ratios, and Weighted Averages

If DF=9x-39, find EF.

• 16

• 58

• 116

• 23

Tags

CCSS.7.NS.A.3

If M is between L and N, LM=2x+7, MN=x+9, and LN=40, find the value of x.

• 8

• 18

• 23

• 17

Tags

CCSS.7.NS.A.1D

B is the midpoint of AC.  Find AB.

• 2
• 16
• 8
• 4

Number Line Problem:

Find the point M that will divide the segment PQ in a 2:5 ratio. Point P is at -10 and Point Q is at 4.

• -8

• -6

• 0

• 2

Tags

CCSS.6.NS.C.8

The midpoint of BD = ?

(a)  

Tags

CCSS.7.NS.A.1C

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

Tags

CCSS.7.EE.B.3

Mark wants to calculate his calculus grade. The teacher's policy is that the tests count 40%, quizzes 20%, homework 10%, projects 15% and the final exam is 15%. If Marks's test average is 92, his quizzes are 95, his homework is 100, projects 90 and final exam is 92, what will his final grade in the class be?

• 93.6

• 93.7

• 93.1

• 93.8

Tags

CCSS.6.NS.B.3

Given the points A = 2 and B =14, find point P on directed line segment AB that partitions AB into a ratio 1:3.

• P = 5

• P = 7

• P = 4

• P = 8

Tags

CCSS.7.EE.B.3

Given the points A = -2 and B = 7, find point P on directed line segment AB that partitions AB in a the ratio 1:2.

• P = 3

• P = 4

• P = 1

• P = 0

Tags

CCSS.7.EE.B.3

Find the coordinates of P that represents the weighted average of point X, which weighs four times as much as much as point Z, and point Y that weighs three times as much as point Z.

• P = -1

• P = 1 3/8

• P = 2 5/8

• P = -1 3/8