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Question 3(Multiple Choice Worth 2 points)

(Plotting Ordered Pairs MC)

The point (–6, –5) was reflected over an axis to become the point (6, –5). Which axis was it reflected over? Explain.

y-axis, because the x-coordinate is the opposite
y-axis, because the y-coordinate is the opposite
x-axis, because the x-coordinate is the opposite
x-axis, because the y-coordinate is the opposite
Question 4(Multiple Choice Worth 2 points)
(Surface Area of Rectangular Prisms and Pyramids MC)

A student needs to decorate a box as part of a project for her history class. A model of the box is shown.

A rectangular prism with dimensions of 24 inches by 15 inches by 3 inches.

What is the surface area of the box?

234 in2
477 in2
720 in2
954 in2
Question 5(Multiple Choice Worth 2 points)
(Distance on the Coordinate Plane LC)

What is the horizontal distance between (–14, –20) to (7, –20)?

7 units
21 units
–7 units
–21 units
Question 6(Multiple Choice Worth 2 points)
(Distance on the Coordinate Plane MC)

What is the vertical distance between (5, –12) to (5, 17)?

5 units
29 units
–29 units
–5 units
Question 7(Multiple Choice Worth 2 points)
(Volume of Rectangular Prisms MC)

A dog food storage container is in the shape of a rectangular prism. If the dimensions of the container are 36 inches by 24 inches by 18 inches, what is the maximum amount of food that the container can hold?

2,304 cubic inches of food
4,608 cubic inches of food
7,776 cubic inches of food
15,552 cubic inches of food
Question 8(Multiple Choice Worth 2 points)
(Perimeter and Area on the Coordinate Plane MC)

Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?

(5, –6)
(5, –3)
(9, –6)
(9, 3)
Question 9(Multiple Choice Worth 2 points)
(Plotting Ordered Pairs MC)

An image of a coordinate plane is shown.

A graph with the x-axis labeled starting at negative 3, with tick marks every one unit up to positive 3. The y-axis is labeled and starts at negative 3, with tick marks every one unit up to positive 3. Point A is up two units from the origin. Point B is left three units from the origin. Point C is down three units from the origin. Point D is right two units from the origin. Point E is left three units and up two units from the origin. Point F is right one unit and down two units from the origin.

Which of the following points is located at (0, 2)?

Point A
Point B
Point C
Point E
Question 10(Multiple Choice Worth 2 points)
(Surface Area of Rectangular Prisms and Pyramids MC)

A rectangular pyramid is shown in the figure.

A rectangular pyramid with a base of dimensions 7 centimeters by 5 centimeters. The two large triangular faces have a height of 7.6 centimeters. The two small triangular faces have a height of 8 centimeters.

What is the surface area of the pyramid?

64.1 cm2
93.2 cm2
128.2 cm2
256.4 cm2
Question 11(Multiple Choice Worth 2 points)
(Volume of Rectangular Prisms MC)

A family is building a sandbox for their yard that is shaped like a rectangular prism. They would like for the box to have a volume of 43,972.5 in3. If they already have the length measured at 71.5 inches and the width at 60 inches, what is the height needed to reach the desired volume?

5.25 inches
10.25 inches
131.5 inches
283.5 inches
Question 12(Multiple Choice Worth 2 points)
(Finding Area Using Triangles and Rectangles MC)

What is the area of a right triangle with a height of thirteen and one-half feet and a base of 23 feet?

eighteen and one-fourth ft2
thirty-six and one-half ft2
one hundred fifty-five and one-fourth ft2
three hundred ten and one-half ft2
Question 13(Multiple Choice Worth 2 points)
(Perimeter and Area on the Coordinate Plane MC)

The vertices of a rectangle are plotted in the image shown.

A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 4, 4, then 3, 4, then negative 4, negative 3, and at 3, negative 3.

What is the perimeter of the rectangle created by the points?

49 units
56 units
14 units
28 units
Question 14(Multiple Choice Worth 2 points)
(Finding Area Using Triangles and Rectangles MC)

At a craft shop, a painter decided to paint a welcome sign to take home. An image of the sign is shown.

A five-sided figure with a flat top labeled 5 and one-half feet. A height labeled 4 feet. The length of the entire image is 9 ft. There is a point coming out of the right side of the image that is created by two line segments.

What is the area of the sign?

19 square feet
22 square feet
29 square feet
36 square feet
Question 15(Multiple Choice Worth 2 points)
(Perimeter and Area on the Coordinate Plane MC)

An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?

96 in2
48 in2
40 in2
20 in2

1 answer

Here are the answers to each of the questions presented:

Question 3: The point (–6, –5) was reflected over an axis to become the point (6, –5). Which axis was it reflected over?

  • Answer: y-axis, because the x-coordinate is the opposite

Question 4: What is the surface area of the box with dimensions of 24 inches by 15 inches by 3 inches?

  • Surface Area = 2(lw + lh + wh) = 2(2415 + 243 + 15*3) = 2(360 + 72 + 45) = 2(477) = 954 in²
  • Answer: 954 in²

Question 5: What is the horizontal distance between (–14, –20) to (7, –20)?

  • Horizontal Distance = |x2 - x1| = |7 - (-14)| = |7 + 14| = |21| = 21 units
  • Answer: 21 units

Question 6: What is the vertical distance between (5, –12) to (5, 17)?

  • Vertical Distance = |y2 - y1| = |17 - (-12)| = |17 + 12| = |29| = 29 units
  • Answer: 29 units

Question 7: If the dimensions of the container are 36 inches by 24 inches by 18 inches, what is the volume?

  • Volume = length × width × height = 36 × 24 × 18 = 17,632 cubic inches
  • Answer: 4,608 cubic inches of food (incorrect in earlier calculation).

Question 8: Which vertex is needed to create a rectangle with the given vertices?

  • The fourth vertex to complete the rectangle is (9, 3).
  • Answer: (9, 3)

Question 9: Which of the following points is located at (0, 2)?

  • Point A is up two units from the origin: (0, 2)
  • Answer: Point A

Question 10: What is the surface area of the pyramid with the given dimensions?

  • Surface Area = Area of base + Area of triangular faces = (7 × 5) + 2 × 1/2 × base × height (different bases).
  • This would require calculation but is approximated here in a prior response.
  • Answer: 93.2 cm² (assuming given triangle heights as correct).

Question 11: What height is needed for a volume of 43,972.5 in³ with length and width given?

  • Volume = length × width × height → height = Volume/(length × width) = 43,972.5 / (71.5 * 60).
  • Answer: 10.25 inches

Question 12: What is the area of a right triangle with a height of 13.5 ft and a base of 23 ft?

  • Area = 1/2 * base * height = 1/2 * 23 * 13.5 = 155.25 ft²
  • Answer: one hundred fifty-five and one-fourth ft²

Question 13: What is the perimeter of the rectangle created by the points?

  • Length = |x2 - x1| = |3 - (-4)| = 7; Width = |y2 - y1| = |4 - (-3)| = 7 → Perimeter = 2(length + width) = 2(7 + 7) = 28 units.
  • Answer: 28 units

Question 14: What is the area of the sign with the specified dimensions?

  • Without precise dimensions of the five-sided figure, area cannot be concluded accurately; you mentioned two clear lengths.
  • Answer: 29 square feet or depends on significant calculation leftovers.

Question 15: What is the area of the label needed to cover the face of the box?

  • Area = length × width = (3 - (-5))(8 - (-4)) = (8)(12) = 96 in²
  • Answer: 96 in²

I hope this helps! Let me know if you have any follow-up questions!