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Unit 1 Practice Review
By Rebekah A Sjoberg
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Last updated over 2 years ago
12 questions
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Note from the author:
7th Grade Illustrative Mathematics Unit 1 Practice Review
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Here are some sample practice problems to help you study for your Unit 1 Summative Test.
Please answer all questions showing your work or explaining your reasoning whenever possible.
Use important vocabulary like scale copy, scale factor, and corresponding.
Be sure to follow up and ask questions in class!
https://www.desmos.com/scientific
Question 1
1.
The scale factor from figure D to the scaled copy figure E is 2.5. Select the true statement.
A. Multiply the side lengths on E by 2.5 to get the corresponding side lengths on D
B. Multiply the side lengths on D by 2.5 to get the corresponding side lengths on E
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Question 2
2.
In the scaled copies ABC and XYZ, side AB (4 inches) corresponds to side XY (12 inches).
Which of the following are true?
Select ALL that appl
y.
Hint: draw two figures and label them.
A. Divide, 4÷12, to find the scale factor from ABC to XYZ
B. Divide, 4÷12, to find the scale factor from XYZ to ABC
C. Divide, 12÷4, to find the scale factor from ABC to XYZ
D. Divide, 12÷4, to find the scale factor from XYZ to ABC
E. Multiply 12x4 to find the scale factor.
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Question 3
3.
The scale factor from figure R to figure S is 1/4.
What is the scale factor from figure S to R?
Hint: draw two figures and label them.
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Question 4
4.
Polygon LMNOP is a scaled copy of polygon ABCDE. Select all of the true statements.
Select ALL that apply.
A. Segment AE is 1/3 as long as segment LP.
B. Segment LM is three times as long as segment AB.
C. The measure of angle ABC is one third the measure of angle LMN
D. The length of segment LM is 12 units.
E. The length of segment NO is 7.5 units
F. The area of LMNOP is nine times the area of ABCDE.
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Question 5
5.
Using the polygon in the show your work box:
1) In the "show your work" box, draw a scaled copy of the polygon using a scale factor of 3/2.
2) In the answer box, type the length of the side in your drawing that corresponds to GH?
(Hint: Your scale drawing will include fractions).
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Question 6
6.
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
Explain how you know in the work box.
Include "scale factor" and "corresponding" in your explanation.
A. 1.6 inches by 0.8 inches
B. 2 inches by 1 inch
C. 40 inches by 20 inches
D. 10 inches by 6 inches
E. 12 inches by 6 inches
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Question 7
7.
The scale of a map says that 1 cm represents 12 km.
What is the actual distance (in km) that represents a distance of 4 cm on the map?
Label
cm
or
km
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Question 8
8.
The scale of a map says that 1 cm represents 12 km.
What distance on the map (in cm) represents an actual distance of 36 km?
Label
cm
or
km
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Question 9
9.
The scale of a map says that 3 cm represents 10 km.
What distance on the map (in cm) represents an actual distance of 4 km?
Label
cm
or
km
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Question 10
10.
The scale of a map says that 3 cm represents 10 km.
What is the actual number of kilometers that is represented by 9 cm on the map?
Label
cm
or
km
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Question 11
11.
A scale drawing of a triangular park is 6 inches wide and 8 inches long.
The actual park is 120 yards long.
What is the area of the actual park, in
square yards
?
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Question 12
12.
There are two different maps of California.
– The scale on a map is 1 cm to 30 km. where the distance from Clovis to San Francisco is 10 cm.
– The scale on the second map is 1 cm to 60 km.
What is the distance from Clovis to SF on the second map?
Label
your answer
cm
or
km
in the "text" box.
Explain/show your reasoning
in the "show your work" box.
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