Writing an Equation to Represent a Proportional Relationship Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Writing an Equation to Represent a Proportional Relationship . You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - Write an equation to represent the proportional relationship given in the table.
x
5
6
8
15
20
y
20
24
32
60
80
Answer : A
Explanation
Step 1:
From given table of values
$\frac{y}{x} = \frac{20}{5} = \frac{24}{6} = \frac{32}{8}… = \frac{4}{1}$
Step 2:
So, the equation representing this proportional relationship is $y = \frac{4}{1} \times \frac{x}{1} = \frac{4x}{1} = 4x$
or $y = 4x$
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Q 2 - Write an equation to represent the proportional relationship given in the table.
m
6
12
18
22
24
n
9
18
27
33
36
Answer : B
Explanation
Step 1:
From given table of values
$\frac{n}{m} = \frac{9}{6} = \frac{18}{12} = \frac{27}{18}…= \frac{3}{2}$
Step 2:
So, the equation representing this proportional relationship is $n = \frac{3}{2} \times \frac{m}{1} = \frac{3m}{2}$
or $n = \frac{3m}{2}$
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Q 3 - Write an equation to represent the proportional relationship given in the table.
c
3
9
15
21
33
d
4
12
20
28
44
Answer : D
Explanation
Step 1:
From given table of values
$\frac{d}{c} = \frac{4}{3} = \frac{12}{9} = \frac{20}{15}… = \frac{4}{3}$
Step 2:
So, the equation representing this proportional relationship is $d = \frac{4}{3} \times \frac{c}{1} = \frac{4c}{3}$
or $d = \frac{4c}{3}$
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Q 4 - Write an equation to represent the proportional relationship given in the table.
k
3
12
15
27
36
l
7
28
35
63
84
Answer : C
Explanation
Step 1:
From given table of values
$\frac{l}{k} = \frac{7}{3} = \frac{28}{12} = \frac{35}{15}… = \frac{7}{3}$
Step 2:
So, the equation representing this proportional relationship is $l = \frac{7}{3} \times \frac{k}{1} = \frac{7k}{3}$
or $l = \frac{7k}{3}$
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Q 5 - Write an equation to represent the proportional relationship given in the table.
y
6
18
24
39
48
z
14
42
56
91
112
Answer : B
Explanation
Step 1:
From given table of values
$\frac{y}{z} = \frac{14}{6} = \frac{42}{18} = \frac{56}{24}… = \frac{7}{3}$
Step 2:
So, the equation representing this proportional relationship is $y = \frac{7}{3} \times \frac{z}{1} = \frac{7z}{3}$
or $y = \frac{7z}{3}$
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Q 6 - Write an equation to represent the proportional relationship given in the table.
a
5
7
8
9
11
b
15
21
24
27
33
Answer : A
Explanation
Step 1:
From given table of values
$\frac{b}{a} = \frac{15}{5} = \frac{21}{7} = \frac{24}{8}… = \frac{3}{1}$
Step 2:
So, the equation representing this proportional relationship is $b = \frac{3}{1} \times \frac{a}{1} = \frac{3a}{1} = 3a$
or b = 3a
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Q 7 - Write an equation to represent the proportional relationship given in the table.
p
6
10
13
14
18
q
18
30
39
42
54
Answer : C
Explanation
Step 1:
From given table of values
$\frac{q}{p} = \frac{18}{6} = \frac{30}{10} = \frac{39}{13}… = \frac{3}{1}$
Step 2:
So, the equation representing this proportional relationship is $q = \frac{3}{1} \times \frac{p}{1} = \frac{3p}{1} = 3p$
or q = 3p
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Q 8 - Write an equation to represent the proportional relationship given in the table.
r
10
20
30
40
50
s
6
12
18
24
30
Answer : D
Explanation
Step 1:
From given table of values
$\frac{s}{r} = \frac{6}{10} = \frac{12}{20} = \frac{18}{30}… = \frac{3}{5}$
Step 2:
So, the equation representing this proportional relationship is $s = \frac{3}{5} \times \frac{r}{1} = \frac{3r}{5}$
or $s = \frac{3r}{5}$
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Q 9 - Write an equation to represent the proportional relationship given in the table.
i
10
20
30
40
50
j
8
16
24
32
40
Answer : B
Explanation
Step 1:
From given table of values
$\frac{j}{i} = \frac{8}{10} = \frac{16}{20} = \frac{24}{30}… = \frac{4}{5}$
Step 2:
So, the equation representing this proportional relationship is $j = \frac{4}{5} \times \frac{i}{1} = \frac{4i}{5}$
or $j = \frac{4i}{5}$
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Q 10 - Write an equation to represent the proportional relationship given in the table.
u
2
16
24
32
40
v
7
56
84
112
140
Answer : A
Explanation
Step 1:
From given table of values
$\frac{v}{u} = \frac{7}{2} = \frac{56}{16} = \frac{84}{24}… = \frac{7}{2}$
Step 2:
So, the equation representing this proportional relationship is $v = \frac{7}{2} \times \frac{u}{1} = \frac{7u}{2}$
or $v = \frac{7u}{2}$
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