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Equations of Proportional Relationships: Grade 7 Math Quiz – PDF Download

    Equations of Proportional Relationships – Grade 7 math quiz

    Ten multiple-choice questions on equations of proportional relationships. Each question has exactly one correct answer. Read tables and graphs carefully, find the constant of proportionality, and use \(y=kx\) before choosing. The explanation after each question shows the typical mistake.

    Grade 7Common Core: 7.RP.A.2c
    🎯 Equations of Proportional Relationships – Grade 7 math quiz
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    Question 1

    Which equation matches the table?

    x358y122032
    Table of values for x and y.
    A \(y=4x\)
    B \(y=\frac{x}{4}\)
    C \(y=x+9\)
    D \(y=12x\)
    Question 2

    Which equation is the graph of this line?

    01234503691215xy(1, 3)(2, 6)(3, 9)(4, 12)
    A line through the origin and the points (1, 3), (2, 6), (3, 9) and (4, 12).
    A \(y=\frac{x}{3}\)
    B \(y=x+2\)
    C \(y=3x\)
    D \(y=12x\)
    Question 3

    Tickets to the school play cost $9.50 each. Which equation gives the total cost \(c\) of \(n\) tickets?

    A \(n=9.5c\)
    B \(c=n+9.5\)
    C \(c=\frac{n}{9.5}\)
    D \(c=9.5n\)
    Question 4

    The equation \(y=2.5x\) describes a proportional relationship. What is \(y\) when \(x=12\)?

    A 14.5
    B 30
    C 4.8
    D 300
    Question 5

    Which equation does not represent a proportional relationship?

    A \(y=3x+2\)
    B \(y=3x\)
    C \(y=\frac{x}{3}\)
    D \(y=0.5x\)
    Question 6

    Line A and Line B are shown. Which statement is true?

    01234036912xyLine ALine B(2, 6)(2, 4)
    Line A passes through (2, 6) and Line B passes through (2, 4).
    A Line B has the greater constant, 3 compared with 2.
    B Line A has the greater constant, 3 compared with 2.
    C Line A has the greater constant, 6 compared with 4.
    D The two lines have the same constant, 2.
    Question 7

    A car travels \(d=28g\) miles on \(g\) gallons of gas. How far can it go on 7.5 gallons?

    A 35.5 miles
    B 0.27 mile
    C 210 miles
    D 21 miles
    Question 8

    In the equation \(t=pn\), where \(t\) is the total cost of \(n\) items, what does \(p\) represent?

    A The total cost of all the items
    B The number of items bought
    C The cost when no items are bought
    D The price of one item, which is the constant of proportionality
    Question 9

    Pizza slices at a school fair cost \(c=1.75s\) dollars for \(s\) slices. Jamal paid $14.00. How many slices did he buy?

    A 24.5 slices
    B 12.25 slices
    C 0.125 slice
    D 8 slices
    Question 10

    Diego's pay is \(y=9x\). Aisha's pay is in the table. Who earns more per hour?

    Hours x4610Pay y (dollars)385795
    Aisha's pay for 4, 6 and 10 hours.
    A Diego, by $0.50 per hour
    B Aisha, by $5.00 per hour
    C Aisha, by $0.50 per hour
    D They earn the same amount per hour

    🎉 Quiz complete!

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    Remember:

    • Every proportional relationship has the form \(y=kx\), and its graph is a straight line through the origin \((0,0)\).
    • The constant \(k=\frac{y}{x}\) is the same for every pair of values with \(x\neq 0\).
    • For total cost \(t=pn\), the price per item \(p\) is the constant of proportionality.
    • To find a missing value, substitute the known number into \(y=kx\) and solve.
    • Compare two proportional relationships by comparing their constants \(k\), whatever form each is given in.

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