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This page shows questions in the Math 7 Ratios and Proportional Relationships public release module at MSDE. 7th Grade Math
"Math 7 Ratios and Proportional Relationships"

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Expand All Official Practice Test

This is a multiple choice question that allows you to select only one option.

Which graph represents a proportional relationship from y to x with a constant of proportionality of 12?

  1. A.
    The graph shows a line that moves upward, and to the right, from the coordinates 0, comma, 0, through the coordinates 4, comma, 2.
  2. B.
    The graph shows a line that moves upward, and to the right, from the coordinates 0, comma 0, through the coordinates 2, comma 4.
  3. C.
    The graph shows a line that moves upward, and to the right, from the coordinates 0, comma 0, through the coordinates 3, comma 1.
  4. D.
    The graph shows a line that moves upward, and to the right, from the coordinates 0, comma 0, through the coordinates 1, comma 3.
i1

Correcti2

Constant of proportionality of 2i3

Constant of proportionality of 1/3i4

Constant of proportionality of 3

This is a multiple choice question that allows you to select only one option.

The graph shows the relationship between the number of cans of tuna bought and the total cost of the cans of tuna.

Cost of Tuna

The figure shows the graph of a line in the x y plane. The horizontal axis is labeled, Number of Cans of Tuna, and the numbers 0, through 3, are indicated. The vertical axis is labeled Cost, in dollars, and the numbers 0, through 12, are indicated. The line begins at the origin and moves upward and to the right through four points, P, Q, R, and S. The coordinates of the points are as follows,.Point P,: 0.25 comma 1,.Point Q,: 1 comma 4,.Point R,: 2 comma 8,.Point S,: 3 comma 12,.

For which point on the graph does the y -coordinate represent the unit rate for the cost of the cans of tuna?

  1. A.
    point P
  2. B.
    point Q
  3. C.
    point R
  4. D.
    point S
i2

Correcti1

Identified a point with y-coordinate 1, but does not represent the unit ratei3

Identified a point on the graph of the proportional relationshipi4

Identified a point on the graph of the proportional relationship

This is a multiple choice question that allows you to select only one option.

The graph of a proportional relationship passes through the point with coordinates 10, 5 on the xy‑coordinate plane.

Which equation represents the given relationship?

Select one answer.

  1. A.
    y=0.5x
  2. B.
    y=2x
  3. C.
    y=0.5x+5
  4. D.
    y=2x+5

This is a fill in the blank question that allows you to enter only numbers.

The graph shows a proportional relationship from y to x that passes through the points located at (2,6) and (3,9).

The figure shows the graph of a line in the x y plane. The numbers 0, through 4, are indicated on the x axis, and the numbers 0, through 9, are indicated on the y axis. The line moves upward, and to the right, from the coordinates 0, comma 0, through the coordinates 3, comma, 9.

What is the constant of proportionality?

Enter your answer in the space provided.

This is a fill in the blank question that allows you to enter only numbers.

A copy machine prints 10 copies per 14 minute.

At what rate, in copies per minute, does the copy machine print?

Enter your answer in the space provided.

copies per minute

This is a matching question that allows you to match elements from one list with those on another list.

Three linear relationships are shown in the following tables, where x is the independent variable and y is the dependent variable.

The figure shows three tables, labeled, Table J, Table K, and Table L. Each table has 2 columns and 3 rows of data. In each table, the heading of column 1 is x, and the heading of column 2 is y. The data are as follows,. Table J,.Row 1,: x equals 0,; y equals 5. Row 2,: x equals 1,; y equals 6. Row 3,: x equals 2,; y equals 7. Table K,.Row 1,: x equals 0,; y equals 0. Row 2,: x equals 1,; y equals 2. Row 3,: x equals 2,; y equals 4. Table L,.Row 1,: x equals 6,; y equals 4. Row 2,: x equals 9,; y equals 6. Row 3,: x equals 12,; y equals 8.

For each table, determine whether the relationship represented is proportional or not proportional.

Select one cell per row.

Proportional Not Proportional
Table J
Table K
Table L

This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.

Jackson is using bricks to make a patio. He completed 18 of the patio in 25 hour. If Jackson continues to work at this constant rate, what fraction of the patio will he complete each hour?

Enter your answer as a fraction in the spaces provided.

fraction bar

This is a fill in the blank question that allows you to enter only numbers.

A person waxed 140 of a floor every 12 hour. The area of the floor was 2,000 square feet.

At what unit rate, in square feet per hour, did the person wax the floor?

Enter your answer in the space provided.

square feet per hour