The Garden
Vocab
Area polynomials
Perimeter polynomials
volume polynomials
100
What is the Perimeter of the Herbs?
12x
100
What are these 12, 4x, x2, -5xy?
Monomial/Polynomial
100
The length of a square is x + 2 units. Find the area.
x2 + 4x + 4 units squared
100
The perimeter of the
triangle is 10x+20. Find the length of the missing side
5x+10
100
What us the volume of the rectangular prism?
6x3+22x2+10x-6
200
What is the area of the Potatoes?
4x2-1
200
What are these 2x - 1, x2 - 4
Binomial/Polynomial
200
Find the area of a rectangle with length (x - 5) and width (3x + 1).
3x2-14x-5
200
Sara is making a triangle-shaped pennant for her friend. Two sides measure 3x+5 inches and the last side is 2x+1 inches. Help Sara find the perimeter of the pennant.
8x+11
200
5x2-35x+30
300
Two expressions (x2 + 2x + 8) and (5x – 3) are related to the garden. What do the expressions represent?
These expressions represent the dimensions of the entire garden.
300
x2 + 2x + 1
How do you classify the problem above?
Trinomial/Polynomial
300
What is the perimeter of the backyard?
2x2+2x−2
300
What is the perimeter of the triangle shown?
9r2+r-4
300
Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1).
2x3-3x3 -18x-8
400
What is the total perimeter of the garden?
2x2+14x+10
400
a finite sum of terms in which all variables have whole number exponents and no variable appears in a denominator.
polynomial
400
3x2+9x−5
400
You want to double the perimeter of Sara's pennant. Two sides of Sara's pennant measure 3x+5 inches and the last side is 2x+1 inches. What is the perimeter of your pennant?
16x+22
400
Find the volume of the shape.
24x3+52x3+8x−20
500
The tomato section is to be enclosed with a greenhouse that has a height of (3x). The resulting shape is a rectangular prism.
What is the volume of the green house in terms of x?
6x4 + 3x3 + 54x2 + 27x
500
What can make a polynomial a CLOSURE?
creates another polynomial.
500
A square garden is surrounded by a walkway with a width of x.
How much area does the walkway alone cover?
12x2+12x
500
The perimeter of the triangle is 3x3 + 4x2 + 8x + 15. If the shortest side is 2x2 + 12x, the longest side (the hypotenuse) is x3 - 8x + 7, then what is the missing side length?
2x3 + 2x2 + 4x + 8
500
What is the volume of this triangular prism?
288cm3