AnswersFL-1205040-MJ Grade 7 Mathematics B -GFChanging a Scale

Changing a Scale — Unit test Answers

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In which of these cases is each stamp worth the most?

A
7 of the same stamp worth a total of $3.15
B
8 of the same stamp worth a total of $3.20
C
10 of the same stamp worth a total of $4.10
D
16 of the same stamp worth a total of $4.80
2
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If 20 Sunday newspapers weigh 18 pounds, how many pounds do 30 Sunday newspapers weigh?

A
27 pounds
B
28 pounds
C
33 pounds
D
38 pounds
3

Mike and Julie are making slime. The table shows the number of drops of blue food coloring and the number of drops of red food coloring they use in each batchDrops of Food ColoringNumber of blue dropsNumber of red drops20440860128016What is the constant of proportionality of the ratio of the number of blue drops used to the number of red drops used?

A
0.2
B
0.5
C
2
D
5
4

According to the information in the table, who is the fastest typist?Words Typed by Four TypistsTypistWords TypedMinutes TypingElla64016Harper45015Owen56014Shaquille54012

A
Ella
B
Harper
C
Owen
D
Shaquille
5

Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost $25.00.What was Ming’s error?

Question illustration
A
He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
B
He divided the numerator and the denominator of the fraction by 25.
C
He made a mistake when finding the quotient of 10 pounds and 25 dollars.
D
He made a mistake when finding the product of $0.40 and 6.
6

The rate at which an airplane flew was . How can the unit rate be determined?

Question illustration
A
by writing an equivalent rate with a denominator of 1
B
by writing an equivalent rate with a numerator of 1
C
by writing an equivalent rate with a denominator of 2
D
by writing an equivalent rate with a numerator of 2
7

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.Which is Abel’s error?

Question illustration
A
Abel should have written the ratio as .
Option A
B
Abel should have written the ratio as .
Option B
C
Abel should have divided both numbers by 6.
D
Abel should have divided both numbers by 4.
8

What proportion results in the equation ?

Question illustration
A
StartFraction 9 over n EndFraction = StartFraction 10 over m EndFraction
Option A
B
StartFraction 9 over m EndFraction = StartFraction 10 over n EndFraction
Option B
C
StartFraction 9 over 10 EndFraction = StartFraction m over n EndFraction
Option C
D
StartFraction 10 over 9 EndFraction = StartFraction n over m EndFraction
Option D
9

Alan solved the proportion as shown.What is Alan’s error?

Question illustration
A
He got the wrong product when he multiplied 25 by 200.
B
He got the wrong quotient when he divided 5,000 by 8.
C
He mixed up the positions of 8 and 25 in the equation .
Option C
D
He mixed up the positions of 8 and 200 in the equation .
Option D
10

Quinn used a scale drawing to build a soccer field near his school. Initially, he wanted the field to be 28 yards long and 17.5 yards wide. He decided to change the length of the field to 36 yards. If the width is to be changed by the same scale factor, what is the new width of the field? Express your answer to the nearest tenth.

A
18.5
B
22.5
C
25.5
D
57.6
11

Which equation represents the same proportional relationship as the graph?

Question illustration
A
y = three-fifths x
Option A
B
y = five-thirds x
Option B
C
x y = three-fifths
Option C
D
x y = five-thirds
Option D
12

Consider the two graphs below.Which statement best describes the graphs?

Question illustration
A
Graph 1 represents a proportional relationship, but graph 2 does not.
B
Graph 2 represents a proportional relationship, but graph 1 does not.
C
Both graph 1 and graph 2 represent proportional relationships.
D
Neither graph 1 nor graph 2 represents a proportional relationship.
13

The rectangle below was enlarged using a scale factor. What is the area of the original rectangle?

Question illustration
A
8 cm²
B
20 cm²
C
25 cm²
D
40 cm²
14

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.Cost of BindersIf all of the binders cost the same amount, which statement is true?

Question illustration
A
It will cost $12 for 18 binders.
B
It will cost $20 for 30 binders.
C
It will cost $42 for 28 binders.
D
It will cost $48 for 48 binders.
15

If the relationship is proportional, what is the missing value from the table?xy–3–1–12?–30–10

A
–8
B
–6
C
–5
D
–4

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