D, E, and F are collinear, with E between D and F. Use the given information to write an equation for x, then find DE and EF:
DE = 2x + 3
EF = x - 1
DF = 35
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Question 1
1.
What is the value of x?
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Question 2
2.
What is the length of DE?
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Question 3
3.
What is the length of EF?
L, M, and N are collinear, with M as the midpoint of \overline{LN}. Use the given information to write an equation for x, then find LM and MN:
LM = 5x - 7
MN = 2x + 8
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Question 4
4.
What is the value of x?
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Question 5
5.
What is the length of LM?
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Question 6
6.
What is the length of MN?
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Question 7
7.
Point T is between S and R. P is the midpoint of \overline{ST}. SR = 22, PT = 7. Using the workspace provided, draw a sketch and find RT.
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Question 8
8.
Find the distance between the points (-2, 8) and (-4, 4). Round your answer to the nearest hundredth.
2 points
2
Question 9
9.
Find the midpoint between the points (-3, -2) and (-1, 2).
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Question 10
10.
Use the given endpoint E(-5, 7) and midpoint M(-8, 2) to find the coordinates of the other endpoint S.
Use the following diagram for the next 2 questions. The locations of Tom's house and Jenny's house are located on the map below.
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Question 11
11.
Find the midpoint between Tom and Jenny.
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Question 12
12.
Find the distance between Tom and Jenny. Round your answer to the nearest hundredth.
Use the number line below for the next 4 questions. Find the lengths of each indicated segment.
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Question 13
13.
RU
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Question 14
14.
SU
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Question 15
15.
TR
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Question 16
16.
TU
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Question 17
17.
Using the diagram below, what is m\angle{QTA}?
Use the diagram below for the next 2 questions.
\overrightarrow{PT} bisects \angle{RPS}.
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Question 18
18.
What is the value of x?
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Question 19
19.
What is m\angle{RPT}?
Use the diagram below for the next 3 questions. Use the given information to write an equation for x, then find the measures of \angle{WYC} and \angle{ZYC}.
m\angle{WYC} = (5x - 6)o
m\angle{ZYC} = (2x - 2)o
m\angle{WYZ} = 48o
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Question 20
20.
What is the value of x?
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Question 21
21.
What is m\angle{ZYC}?
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Question 22
22.
What is m\angle{WYC}?
Use the diagram below for the next 2 questions.
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Question 23
23.
If m\angle{3} = 40o, then m\angle{1} = ___________
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Question 24
24.
If m\angle{2} = 140o, then m\angle{4} = ___________
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Question 25
25.
In the diagram below, m\angle{LRM} = (11x - 6)o and m\angle{PRQ} = (9x + 12)o. Solve for x.
2 points
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Question 26
26.
In the diagram below, m\angle{ABD} = (2x + 25)o and m\angle{DBC} = (3x + 10)o. Solve for x.
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Question 27
27.
In the diagram below, m\angle{GHK} = (3x + 7)o and m\angle{KHJ} = (8x - 3)o. Solve for x.
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Question 28
28.
\angle{1} is supplementary to \angle{2}. m\angle{1} = (3x - 4)o and m\angle{2} = (5x + 16)o. Solve for x.
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Question 29
29.
\angle{3} is complementary to \angle{4}. m\angle{3} = (4x - 8)o and m\angle{4} = (x - 2)o. Solve for x.
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2
Question 30
30.
Using the Pythagorean Theorem to solve for b.
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Question 31
31.
Using the Pythagorean Theorem to solve for c.
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Question 32
32.
You are leaning a ladder against a wall. The height of the wall is 15 ft., and the distance from the wall to the foot of the ladder is 8 ft. How long is the ladder? Draw a picture if necessary and use the Pythagorean Theorem.
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Question 33
33.
BONUS: Solve for x and y. Write your answers as x, y.