Mathematics Worksheet - Proportional Relationships

Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2?

• A. [Graph A]

• B. [Graph B]

• C. [Graph C]

• D. [Graph D]

The freezing temperature of chloroform is how many degrees Celsius greater than the freezing temperature of ethanol?

• 51.2

• 23.5

• 10.8

• 5.0

Miguel eats a meal at a restaurant and leaves a 15% tip for the server. The cost of the meal without the tip is p dollars. Which expressions represent the total cost, in dollars, of the meal and the tip?

• A. 1.15p

• B. (15/100)p

• C. p + 15

• D. p + 0.15p

• E. p + 1.15p

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

• A point P

• B point Q

• C point R

• D point S

A certain three-dimensional figure has one base and 3 faces. The area of each face is the same. The area of the base is 5 square centimeters. The total surface area of the figure, including the base, is 26 square centimeters. What is the area of one face of the three-dimensional figure?

• 7 square centimeters

• 5 square centimeters

• 6 square centimeters

• 8 square centimeters

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?

• y = 0.5x

• y = 2x

• y = 0.5x + 5

• y = 2x + 5

What is the value of the following expression? (-1/2) ÷ (3/5)

• 1/30

• -1/30

• 5/6

• -5/6

Consider the following expression. -2(w - 3) + 5(6w + 4) Which expression is equivalent to the expression shown?

• -28w + 1

• 28w + 14

• 28w + 26

• 32w + 14

The following table shows the low temperatures and the high temperatures, in degrees Fahrenheit, in four different cities on the same day. Which two statements about the difference in low temperature and high temperature are true? Select all that apply.

• The city with the greatest difference in low temperature and high temperatures was Malta.

• The city with the least difference in low temperature and high temperatures was Biddle.

• The city with the greatest difference in low temperature and high temperatures was Helena.

• The city with the greatest difference in low temperature and high temperatures was Lima.

• The city with the least difference in low temperature and high temperatures was Lima.

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

(a)