Try these 10 multiple-choice questions on proportional relationships. Read the tables, graphs and bar models carefully, find the ratio of y to x, and remember that a proportional graph is a straight line through the origin.
Grade 7 Common Core: 7.RP.A.2a · 7.RP.A.2b · 7.RP.A.2d
🎯 Proportional Relationships – Grade 7 math quiz
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Question 1
What is the constant of proportionality for this table?
x 2 3 4 y 10 15 20 Each y is a multiple of x.
A
\(3\)
B
\(\frac{1}{5}\)
C
\(8\)
D
\(5\)
Question 2
The graph shows a proportional relationship. What is the constant of proportionality?
0 1 2 3 4 0 2 4 6 8 10 12 x y (2, 6) A proportional graph.
A
\(6\)
B
\(\frac{1}{3}\)
C
\(2\)
D
\(3\)
Question 3
Which set of ordered pairs \((x,y)\) is proportional?
A
\((1,3),(2,5),(3,7)\)
B
\((1,3),(2,6),(3,9)\)
C
\((1,4),(2,6),(3,8)\)
D
\((1,2),(2,5),(3,8)\)
Question 4
Why is this graph not a proportional relationship?
0 1 2 3 4 0 1 2 3 4 5 6 7 8 x y A line that crosses the y-axis above zero.
A
The line is not straight.
B
The line goes up too slowly.
C
The line does not pass through the origin.
D
The points are not whole numbers.
Question 5
A proportional graph contains the point \((4,10)\). Which point must also be on the graph?
A
\((2,5)\)
B
\((6,12)\)
C
\((5,11)\)
D
\((8,14)\)
Question 6
On the graph of a proportional relationship, what does the point \((1,r)\) represent?
A
The starting amount when \(x=0\)
B
The unit rate: the value of \(y\) for \(1\) unit of \(x\)
C
The sum of \(x\) and \(y\)
D
The point where the graph crosses the \(x\)-axis
Question 7
The bar model shows the cost of 4 notebooks. What is the constant of proportionality?
4 notebooks cost $24 $6 $6 $6 $6 Four equal parts make $24.
A
\(\$4\text{ per notebook}\)
B
\(\$24\text{ per notebook}\)
C
\(\$6\text{ per notebook}\)
D
\(\$18\text{ per notebook}\)
Question 8
Jamal types 150 words in 3 minutes and 250 words in 5 minutes. Which statement is true?
A
The words are proportional to the minutes, with \(k=50\) words per minute.
B
The words are not proportional, because \(250\) is not double \(150\).
C
The words are proportional, with \(k=3\) words per minute.
D
The words are proportional, with \(k=\frac{1}{50}\) word per minute.
Question 9
A table has the pairs \((2,7),(4,13),(6,19)\). Which statement is true?
A
It is not proportional, because \(\frac{7}{2}\neq\frac{13}{4}\).
B
It is proportional, because \(y\) increases by \(6\) each time.
C
It is proportional, because every \(y\)-value is odd.
D
It is proportional, because \(x\) increases by \(2\) each time.
Question 10
The cost \(y\) of \(x\) gallons of paint is proportional. What does the point \((0,0)\) mean?
A
\(1\) gallon costs \(\$0\).
B
\(0\) gallons cost \(\$0\).
C
\(\$0\) buys \(1\) gallon.
D
The paint has a \(\$0\) fee for each gallon.
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Remember:
A relationship is proportional when \(\frac{y}{x}\) is the same constant \(k\) for every pair.
The constant of proportionality \(k\) equals the unit rate: the value of \(y\) when \(x=1\).
A graph is proportional only if it is a straight line through \((0,0)\).
The point \((1,k)\) on a proportional graph shows the unit rate.
A table that does not give a constant ratio, or a line that misses the origin, is not proportional.
See every chapter on the Grade 7 math page .
