Proportional Relationships Test – Grade 7 Math (Printable PDF)

Question 1 Is the Table Proportional (2 points)

Decide whether y is proportional to x. Justify, and give the constant of proportionality if there is one.

Question 2 Not Proportional Table (2 points)

The table lists a bus pass cost for different numbers of rides. Is the cost proportional to the rides? Explain.

Question 3 Reading a Graph (3 points)

Use the graph.

1. Is the relationship proportional? Explain. (1 point)
2. Find the constant of proportionality. (1 point)
3. Explain what the point (0, 0) means if x is hours and y is dollars earned. (1 point)

Question 4 Explain the Error (2 points)

Liam says the graph is proportional because the points lie on a straight line. Explain his error.

Question 5 Copy Shop (3 points)

A copy shop charges $0.09 per page with no other fees.

1. Write the constant of proportionality and say what it means. (1 point)
2. Find the cost of 250 pages. (1 point)
3. Does the graph contain (0, 0)? Explain. (1 point)

Question 6 Three Situations (3 points)

For each situation, write proportional or not proportional and give one reason.

1. A canoe rental costs $12 per hour. (1 point)
2. A plant is 5 inches tall and grows 1.5 inches each week. Height versus weeks. (1 point)
3. A car drives at 48 miles per hour. Distance versus hours. (1 point)

Question 7 Hours and Miles with Fractions (3 points)

A hiker walks at a constant rate. The table shows the distance.

1. Show that the relationship is proportional. (1 point)
2. How far does the hiker walk in 6 12 hours? (1 point)
3. How long does a 15-mile hike take? (1 point)

Question 8 Finding Missing Values (2 points)

The quantity y is proportional to x, and y = 15 when x = 6. Find k, then find y when x = 10.