Proportional Equations Test – Grade 7 Math (Printable PDF)

Question 1 Equation from a Table (2 points)

Write an equation relating y to x.

Question 2 Equation from a Graph (3 points)

Use the graph.

1. Find the constant of proportionality. (1 point)
2. Write an equation. (1 point)
3. Find y when x = 14. (1 point)

Question 3 Smoothie Bar (2 points)

A smoothie costs $5.25. Write an equation for the total cost t of n smoothies, then find the cost of 13 smoothies.

Question 4 Leaking Tank (3 points)

A tank leaks 35 gallon every 4 hours at a constant rate.

1. Write an equation for gallons g leaked in h hours. (1 point)
2. How many gallons leak in 14 hours? (1 point)
3. After how many hours have 3 gallons leaked? (1 point)

Question 5 Comparing Gym Plans (3 points)

Gym A charges according to y = 9.5x for x visits. Gym B charges as shown.

1. Find each gym’s cost per visit. (1 point)
2. Which gym is cheaper per visit? (1 point)
3. How much more does the other gym cost for 20 visits? (1 point)

Question 6 Proportional Equations (2 points)

Select every equation that models a proportional relationship, and state k for each one you select.

1. y = 9x
2. y = x + 9
3. y = x ÷ 9
4. y = 9 − x

Question 7 Graph Versus Equation (3 points)

Jada’s bike trip is shown in the graph. Eli’s distance follows d = 3.2t.

1. Write Jada’s equation. (1 point)
2. Who is faster? (1 point)
3. How many miles ahead is the faster rider after 10 hours? (1 point)

Question 8 County Sales Tax (2 points)

The county sales tax is 6.5% of the price. Write an equation for the tax t on price p. Find the tax on an $84 item and the price of an item with $9.75 tax.