Triangles on a Coordinate Grid

Refer to the diagram showing triangles HJK and PMK on a coordinate grid. Which statement is true about the slope of HK and the slope of PK?

• The slope of HK is less than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK.

• The slope of HK is equal to the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK as it is for PK.

• The slope of HK is greater than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK.

• The relationship between the slope of HK and the slope of PK cannot be determined, because the triangles are congruent.

Gwen spent $12.50 to purchase 5 bracelets. Each bracelet cost the same amount. Which graph has a slope that best represents this rate?

• Graph A

• Graph B

• Graph C

• Graph D

The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of this function?

• A) 3/2

• B) 4/5

• C) 5/3

• D) 4/3

Which term best describes the transformation shown below?

• A) dilation

• B) rotation

• C) reflection

• D) translation

Solve the equation below for x: 9(x - 5) = 4x - 5.

• A) 8

• B) 10

• C) -8

• D) -10

The line graphed on the coordinate grid shows the number of inches of water added to a swimming pool over different numbers of hours. Refer to the diagram to answer the following question: Which statement best describes the slope of the graphed line?

• The water is being added at a rate of 0.42 inch per hour.

• The water is being added at a rate of 0.80 inch per hour.

• The water is being added at a rate of 2.40 inches per hour.

• The water is being added at a rate of 1.25 inches per hour.

Which graph does NOT represent y as a function of x?

• F

• H

• G

• J

Which set of ordered pairs represents y as a function of x?

• F: {(4, √17), (2, √6), (1, √3), (1, √10)}

• G: {(-7, 2.9), (-15, 5.9), (-7, 11.9)}

• H: {(11.1, 7), (5.1, 4), (12.1, 5), (6.1, 7)}

• J: {(√1, -3), (√2, -4), (√1, -5), (√6, -7)}

Which situation describes a non-proportional relationship?

• The circumference of a circle with a radius of x units can be represented by y = 2πx.

• The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x.

• The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2πx + 2π.

• The radius of a circle with a diameter of x units can be represented by y = 1/2 x.

The two lines graphed on the coordinate grid represent a system of equations. Refer to the diagram provided. What is the x-coordinate of the ordered pair that best represents a solution to both equations?

• F: 1/7

• G: 0

• H: 5

• J: 7