Mathematical Concepts and Problem Solving

#33) Which statement describes the function?

• The function is nonlinear because the y intercept is 0.

• The function is linear because the rate of change is constant.

• The function is linear because the y intercept is a constant value.

• The function is nonlinear because the rate of change is not constant.

#34) Quadrilateral FGHJ is rotated about the origin to form quadrilateral F'G'H'J'. Which two sides are equal in length?

• FG and F'J'

• JF and H'J'

• GH and H'G'

• HG and H'J'

#35) A manufacturer makes cylindrical cans in two sizes. The dimensions of each can are shown in the diagram below. What is the difference between the volumes, in cubic centimeters, of the large can and the small can in terms of π?

• 4π

• 49π

• 73.5π

• 155.5π

#36) An equation is shown below. 2(3x + 1) = x + 1 + 5x Which statement about the equation is true?

• It has no solutions.

• It has exactly one solution.

• It has exactly two solutions.

• It has an infinite number of solutions.

#37) Which statement best describes the value of √2?

• between 0.5 and 1.0

• between 1.5 and 2.0

• between 1.0 and 1.5 but closer to 1.0

• between 1.0 and 1.5 but closer to 1.5

#38) A set of ordered pairs is shown below. {(−3, 3), (1, 1), (4, 2), (−1, −1), (−2, −1), (3, 1), (−2, 3)} Which ordered pair should be removed to make the set a function?

• (−3, 3)

• (4, 2)

• (−2, −1)

• (3, 1)

#39) A movie theater sells popcorn in cone-shaped containers. If the radius of the cone is 3 inches and the height is 5 inches, what is the volume, in cubic inches, of the popcorn container? (Use the formula for the volume of a cone: V = (1/3)πr²h. Round your answer to the nearest tenth.)

• 47.1 cubic inches

• 31.4 cubic inches

• 62.8 cubic inches

• 70.7 cubic inches

#40) The area of a square shaped garden is 324 square feet. What is the length, in feet, of each side of the garden?

• 18 feet

• 16 feet

• 20 feet

• 22 feet

#41) What is the length, in units, of line segment AB shown on the coordinate plane? A is at (2, -5) and B is at (6, 7).

• 13 units

• 10 units

• 8 units

• 14 units

#42) In the figure below, line p is parallel to line q and lines AD and AF are transversals. What is the measure, in degrees, of ∠BAC?

• 65°

• 75°

• 35°

• 85°