G, H, and J are collinear, with H between G and J. Use the given information to write an equation for x, then find GH and HJ:
GH = 5x - 3
HJ = 2x + 7
GJ = 88
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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 GH?
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Question 3
3.
What is the length of HJ?
S, M, and T are collinear, with M as the midpoint of \overline{ST}. Use the given information to write an equation for x, then find SM and MT:
SM = 9x - 12
MT = 5x + 12
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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 SM?
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Question 6
6.
What is the length of MT?
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Question 7
7.
Point P is between W and X. M is the midpoint of \overline{PX}. WX = 32, PM = 7. Using the workspace provided, draw a sketch and find WP.
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Question 8
8.
Find the distance between the points (-1, 5) and (4, 0). Round your answer to the nearest hundredth.
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Question 9
9.
Find the midpoint between the points (-12, -8) and (-6, -4).
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Question 10
10.
Use the given endpoint N(-7, -2) and midpoint M(-3, -6) to find the coordinates of the other endpoint P.
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.
BC
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Question 14
14.
CD
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Question 15
15.
AC
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Question 16
16.
DA
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Question 17
17.
Using the diagram below, what is m\angle{RPT}?
Use the diagram below for the next 2 questions.
\overrightarrow{TY} bisects \angle{WTZ}.
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Question 18
18.
What is m\angle{YTZ}?
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Question 19
19.
What is m\angle{WTZ}?
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{NMU} and \angle{UML}.
m\angle{NMU} = (32x)o
m\angle{UML} = (18x + 1)o
m\angle{NML} = 151o
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Question 20
20.
What is the value of x?
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Question 21
21.
What is m\angle{NMU}?
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Question 22
22.
What is m\angle{UML}?
Use the diagram below for the next 2 questions.
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Question 23
23.
If m\angle{3} = 46o, then m\angle{1} = ___________
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Question 24
24.
If m\angle{2} = 156o, then m\angle{4} = ___________
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Question 25
25.
In the diagram below, m\angle{QPR} = (6x + 8)o and m\angle{SPT} = (7x - 14)o. Solve for x.
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Question 26
26.
In the diagram below, m\angle{ABD} = (3x + 13)o and m\angle{DBC} = (x + 17)o. Solve for x.
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Question 27
27.
In the diagram below, m\angle{HKJ} = (7x - 15)o and m\angle{HKL} = (18x - 30)o. Solve for x.
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Question 28
28.
\angle{7} is supplementary to \angle{8}. m\angle{7} = (x + 3)o and m\angle{8} = (3x + 1)o. Solve for x.
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Question 29
29.
\angle{5} is complementary to \angle{6}. m\angle{5} = (5x + 3)o and m\angle{6} = (4x + 6)o. Solve for x.
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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 a.
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Question 32
32.
You are leaning a ladder against a wall. The height of the wall is 12 ft., and the distance from the wall to the foot of the ladder is 3 ft. How long is the ladder? Draw a picture if necessary and use the Pythagorean Theorem.
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Question 33
33.
You walk 3 miles east, then turn and walk 4 miles north. How far are you, diagonally, from your original location? Draw a picture if necessary and use the Pythagorean Theorem.