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 = 32
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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 = 4x + 1
MN = 2x + 9
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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?
Question 7
7.
Point T is between S and R. P is the midpoint of \overline{ST}. SR = 28, PT = 9. Using the workspace provided, draw a sketch and find RT.
Question 8
8.
Find the distance between the points (-3, 7) and (4, 1). Round your answer to the nearest hundredth.
Question 9
9.
Find the midpoint between the points (-3, -2) and (-1, 2).
Question 10
10.
Use the given endpoint E(1, -8) and midpoint M(-4, 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.
2
Question 11
11.
Find the midpoint between Tom and Jenny.
2
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.
TU
1
Question 14
14.
TR
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Question 15
15.
SU
1
Question 16
16.
RU
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 + 2)o
m\angle{ZYC} = (x + 3)o
m\angle{WYZ} = 47o
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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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Use the diagram below for the next 2 questions.
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Question 23
23.
If m\angle{3} = 42o, then m\angle{1} = ___________
1
Question 24
24.
If m\angle{2} = 138o, then m\angle{4} = ___________
Question 25
25.
In the diagram below, m\angle{LRM} = (11x - 4)o and m\angle{PRQ} = (9x + 12)o. Solve for x.
Question 26
26.
In the diagram below, m\angle{ABD} = (7x + 11)o and m\angle{DBC} = (10x - 6)o. Solve for x.
Question 27
27.
In the diagram below, m\angle{GHK} = (5x - 5)o and m\angle{KHJ} = (9x + 3)o. Solve for x.
Question 28
28.
\angle{1} is supplementary to \angle{2}. m\angle{1} = (5x - 4)o and m\angle{2} = (3x + 16)o. Solve for x.
Question 29
29.
\angle{3} is complementary to \angle{4}. m\angle{3} = (4x - 18)o and m\angle{4} = (2x - 12)o. Solve for x.
Question 30
30.
Using the Pythagorean Theorem to solve for b.
Question 31
31.
Using the Pythagorean Theorem to solve for c.
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.
Question 33
33.
BONUS: Solve for x and y. Write your answers as x, y.