Perimeter
Perimeter II
Area (TEACHER EXS)
Area II
Area III
Surface Area
Surface Area II
Volume
100
The sophomore class is working on a float for the homecoming parade. They need to put a fringe around the perimeter of a rectangle trailer. If the length is 6 feet longer than the width, what is the equation that represents how long the fringe needs to be?
What is P=4w=12?
100
The sophomore class is working on a float for the homecoming parade. They need to put a fringe around the perimeter of a rectangular trailer. The length is 6 feet longer than the width. If 52 feet of trim is used, what is the length and width of the trailer?
What is l=16 ft and w=10 ft?
100
What is the expression that represents the area of the trapezoid shown?
What is x(4x+10) or 4x2+10x?
100
A rectangular design has the dimensions as shown. If a small area, represented by a small rectangle, is removed, what is the remaining area (the shaded portion).
What is 62x2+18x?
100
A irregularly shaped lot is made up of two rectangular sections. Given the dimensions below, write a polynomial that shows how many square feet make up the lot.
What is 7x2+16x+8 ft2?
100
A small soup can has a diameter of 3 inches and a height of 5 inches. A large soup can increase the diameter by x inches and increases the height by 2x inches. Write an expression that represents the lateral surface area of the large soup can.
What is
15 pi +11 pi x+2 pi x2 inches?
100
What is the volume of the rectangular prism (solid) shown?
What is 8x2-8x+2?
200
What is P=6x+4?
200
A circular driveway has an unknown radius of x feet. If the radius was increased by 5 feet, write an expression that would represent the new circumference.
What is 2 pi x+10 pi ?
200
A square has an unknown side length of x. A rectangle has side length that is four feet longer than the square and a width that is two feet shorter than the square. The areas of both the square and the rectangle are equal. Find the side length of the square.
What is 4 ft?
200
The figure below is made up of two rectangles. What is the total area, in square feet, of the figure?
What is 2x2+7x-1618 ft2?
200
A crafts person makes a tissue box cover out of wood. The top of the cover is a rectangle with a diamond shape cut out. (Think of the diamond as two triangles, base to base). The length of the rectangular box is 2x inches, and the width is (2x -2) inches. The base of each triangle making up the diamond cut-out is x inches, and the height of each triangle is (x + 2) inches. Write an expression that represents the area of the wood minus the diamond cut-out.
What is 3x2-3x?
200
A cube has a side length of (x + 5) inches. What is the surface area of the cube?
What is 6x2+60x+150 inches?
200
You want to make a cardboard box. You take a 12-inch by 12 inch piece of cardboard and cut an x-inch by x-inch square out of each corner. If you fold up the sides to make your box, what expression represents the volume?
What is 4x3-16x2+144x in3?
300
Janice wants to put up a wallpaper border around a room that is 5 feet longer than it is wide. She calculates that she needs 50 feet of border. What is the length, l, and width, w, of the room?
What is w=10 ft and l=15 ft?
300
A square courtyard has a side length of 50 yards. The city plans to add x yards to each side so that it can pour a sidewalk all the way around it. Write an expression that would represent the outside perimeter of the courtyard plus the sidewalk.
What is (200+8x) yards?
300
The diameter of a circular fountain is 10 feet. City engineers want to build a sidewalk around the fountain that is x feet wide. Write an expression that shows the total area taken up by the fountain and the proposed sidewalk.
What is
25 pi+10 pix+x2 pi ?
300
An irrigation system used in the Midwest is made up of a long arm that rotates around a center point. Its resulting path is a circle. The arm, which contains the sprinkler heads, is 50 yards long. If a farmer wants to add x yards to the length of the irrigation arm, write an expression that gives the total area covered by the new irrigation system.
What is
pi r2+100 pi x+2500 pi yd2
300
The jump circle in the middle of a basketball court is a circle within a circle. The inner circle has a diameter of 2x feet. The outside circle has a diameter of 6x feet. Sometimes the outer circle is painted, but the inner one is not. Write an expression that could be used to calculate the square feet of paint used in the shaded portion.
What is 8x2 pi ?
300
A cube has a side length of 6 inches. If each side is increased by x inches, what is the total surface area of the larger cube?
What is 6x2+72x+216 inches?
300
A small can of vegetables has a diameter of 3 inches and a height of 5 inches. If the diameter was increased by x inches but the height stayed the same, what would be the lateral surface area of the can?
What is 5 pi x+15 pi in2?
300
A storage box has a length of (2x + 3) feet, a width of (2x + 1) feet, and a height of x feet. Write an expression that shows the volume of the storage box. Make sure the expression is given in simplest form.
What is 4x3+8x2+3x ft3?
400
Ms. Hatcher is cutting out squares for a geometry game. The last square has a side length 3 inches longer than the first square. Write an expression that could be used to find the area of the last square if the first square’s side measured x inches.
What is x2+6x+9 in2?
400
Ken designs a square flower garden that has the same area as a rectangular one. The length of the rectangular garden is 10 feet longer than the side of the square garden. The width of the rectangular garden is 5 feet shorter than the side of the square. Find the side length of the rectangular garden.
What is s = 10 and l = 10 ft?
400
A rectangular shaped house sits on a rectangular lot. The house is 58 feet by 28 feet, and the lot is (x + 2) feet in width by (2x +3) feet in length. If the lot is covered with grass, write a polynomial that shows how many square feet of grass there is to cut.
What is 2x2+7x-1618 ft2?
400
For the cylinder diagramed below, write an expression that represents its lateral surface area. The expression can be expressed in terms of pi.
What is 2 pi x2-2 pi x-4 pi ?
400
To make a box, Juwan started with a square piece of cardboard with an unknown side length of x. He cut a 2 inches square from the corner. He folded up the sides so that the box had a height of 2 inches. Write an expression that would give the volume for the box.
What is 2x2-16x+32 in3 ?
500
A rectangular parking lot has a small rectangular area in one corner that needs to be repaired. The dimensions are shown in the drawing. What is the are of the parking lot that does NOT need repair?
What is 9x2+21x+6?
500
For the cube diagrammed below, write an expression that represents its total surface area.
What is 54x2+72x+24