Simplify Square Roots
Points, Lines, and Planes
Line Segment Addition
Distance
Midpoint
100
Simplify
sqrt(16x^6)
4x^3
100
Between points, lines, line segments, rays, and planes. What is the one where the order of the name matters?
Rays
100
If AB = 10 and BC = 17. What is the AC?
AC=27
100
True or False: Distance can be negative.
False. Distance cannot be negative.
100
Write the midpoint formula for ordered pairs.
200
Simplify
sqrt(18x^3)
3xsqrt(2x)
200
Name the line below in three different ways.
PQ, QR, PR, QP, RQ, RP
200
If XY = 23.2 and XZ = 54. What is YZ?
YZ = 30.8
200
What is the distance between Point A and Point B?
10 units
200
Find the midpoint of (3,9) and (3,7)
(3,8)
300
Simplify
sqrt(50x^7y^2)
5x^3ysqrt(2x)
300
True or False: Point A, Point B, and Point C are collinear.
False. Need to be in a straight line.
300
If AB = x+7, BC = 3x +2, and AC = 29. Solve for x.
x=5
300
What is the distance between the origin and (3,4)?
5 units
300
If the lowest temperature of the day is 52 degrees and the highest temperature of the day is 83 degrees. What is the midpoint of the day's temp?
67.5 degrees.
400
Simplify
sqrt(63x^11y^9)
3x^5y^4\sqrt(7xy)
400
How many planes are Point X and Point J coplanar?
2
400
If EF = 32, FG = 2-5x, and EG= 3x + 9. Solve for x.
x=3.125
400
What is the distance between (-3,-2) and (6,2)?
sqrt(97)
400
If point B is the midpoint of line segment AC. What is the ordered pair for C if A = (2, 3) and B = (4,0)
(6,-3)
500
Simplify
root(3)(54x^4y^6)
3xy^2root(3)(2x)
500
Name a line that intersects the plane Q and a line that is one plane Q.
Review image
500
Solve for ST.
ST=43
500
Sam and Chris are trying to meet in the middle of their two homes. If Sam lives 8 miles west and 2 miles north of the town hall while Chris lives 3 miles east and 5 miles south of the town hall. What is the distance between their houses? Round to the nearest hundredth of a mile.
13.04 miles
500
Sam and Chris are trying to meet in the middle of their two homes. If Sam lives 6 miles west and 4 miles north of the town hall while Chris lives 7 miles east and 2 miles south of the town hall. What is the midpoint between their houses?
0.5 miles east of the town hall and 2 miles north of the town hall.