Writing Expressions
Volume
Surface Area and Area
Algebraic Expressions
Wild Card
100
Write an algebraic expression for:
3 less than the quotient of x and 6
x/6 - 3
100
How many 1 inch cubes can fit into a larger cube with length of 4 inches, a width of 3 inches, and a height of 2 inches?
What is 24 cubes?
100
This would be the height of a parallelogram with a base of 8 inches and an area of 48 square inches.
What is 6 inches?
100
Create an equivalent expression for 5(4x + 2y)
Hint: Use the Distributive Property
20x + 10y
100
Tony said that 3(x - 5) and 3x - 5 are equivalent expressions. Is Tony correct? Justify your reasoning.
No, b/c Tony did not use the Distributive Property correctly. 3(x - 5) and 3x - 10 are equivalent.
200
Create an expression for the phrase: 7 more than 2 times m
2m + 7
200
This is the volume of a rectangular prism with a length of 12 cm, a width of 4 cm and a height of 2 cm?
What is 96 cm3?
200
This is the area of a triangle with a base of 10 cm and a height of 6 cm.
What is 30 square centimeters?
200
Simplify the expression:
3(n)(n)(n)4(n)(n)
12n5
200
This would be the algebraic expression for the phrase "The difference of six squared and 9".
What is 62 - 9?
300
Identify the coefficients, constants, and terms from the expression 4a + 7 + 5b
Coefficients: 4, 5
Constants: 7
Terms: 4a, 7, 5b
300
A rectangular prism has a base with an area of 31 cm2 and a height of 4 cm. What is the volume of the prism?
What is 124 cm3 ?
300
What is the surface area, in square inches, of a prism with a length of 8 inches, a width of 6 inches and a height of 2 inches?
What is 152 square inches?
300
Simplify the expression:
7a + 15 - 2a + 3
5a + 18
300
These are the two steps one must follow to find the surface area of a prism or pyramid.
What is 1. Find the area of each face and 2. Add the areas of the faces
400
Write an expression to represent each phrase:
a. 4 times the sum of 8 and a
b. 10 times the difference of 5 and n
What is:
a. 4(8 + a)
b. 10(5 - n)
400
A rectangular prism has a volume of 60 in3, a height of 2 in and a width of 10 in. What is the length of the rectangular prism?
What is 3 inches?
400
The base of a square pyramid has 3 meters sides. The height of each face is 4 meters. What is the surface area of the square pyramid?
What is 33 m2?
400
Simplify the expression:
6(4 + n) + 1
25 + 6n or 6n + 25
400
This would be the area of the blue region of the parallelogram.
What is 74 m2?
500
Write an algebraic expression to represent each phrase:
a. The sum of a coefficient and a constant.
b. The difference of a constant and a coefficient
What is:
a. Possible answers: 4n + 9, 5x + 12, 3m + 6, etc.
b. Possible answers: 7 - 3a, 8 - 13n, etc.
500
Justine wants to wrap a shipping box shaped like a rectangular prism. The box is 12 inches tall and has a square based with sides that each measure 2 inches. How much paper will she use?
What is 104 square inches?
500
Simplify the expression.
5(z + 4) + 4(2 - z)
z + 28 or 1z + 28 or 28 + z
500
This would be the volume of a box that measures 1 2/3ft by 2/3ft by 2 1/3ft.
What is 7 7/9 ft3?