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HG U1D6 Putting It All Together Aug8

Last updated 7 months ago
15 questions
How do use polynomials to express volume?
1
Warm-Up
a. The sum of 6x2 + 10x - 7 and -x2 - 8x is equal to _______ .
b. When we subtract 9x2 - 4 from 10x2 + 9x - 8, the result equals _______ .
c. (3x2 - 10x - 2) - (6x + 3) = _______ .
d. The product of 5x and (x + 3) is equal to _______ .
e. (x - 6)(x + 3) = _______ .
f. (3x - 4)(3x2 + 3x - 4) = _______ .
g. (-x + 1)(x2 - 3x + 4) = _______ .
1
Write a polynomial in standard form to represent the area of the shaded region in the polygon.


Area = _______ cm2.
1
Write a polynomial in standard form to represent the area of the shaded region in the polygon.
Area = _______ cm2.
1
Write a polynomial in standard form to represent the area of the shaded region in the polygon.
Area = _______ m2.
1
Write a polynomial in standard form to represent the area of the shaded region in the polygon.

Area = _______ m2.
1
Write a polynomial in standard form to represent the area of the shaded region in the polygon.
Area = _______ m2.
1
Perimeter
Write a polynomial expression to represent the perimeter of the polygon.

Perimeter = _______ units
1

The leading coefficient is not always the first coefficient in a polynomial in standard form.

1

The perimeter of any shape is determined by multiplying the side lengths by 2 before adding.

1

If a rectangular prism has the side lengths of 2x, x + 3, and 4, the volume will represent a trinomial

1

The area of a square patch of land, where wildflowers grow, is x2 - 16. The length and width of the patch of land must be x + 4.

1
A Square is Stretched into a Rectangle.
Hint: Draw this!

The square has unknown dimensions.
a. Write an expression to represent the perimeter and area of a square with unknown dimensions. (Hint: I used x for the variable.)
Perimeter of the Square= _______ units.
Area of the Square = _______ units2.

Opposite sides of the square are increased by 4. The other opposite sides are decreased by 3.
b. Write an expression to represent the perimeter and area of the new rectangle.
Perimeter of the Rectangle = _______ units.
Area of the Rectangle = _______ units2.

c. Which one is bigger? The square or the rectangle? Graph the each polynomial to see.
_______
Hint - Possible answers: Square, Rectangle, Neither (They're the same.), Depends on the value of x.
1
Write a polynomial expression to represent the volume of the box.

Volume = _______ mm3.
The degree of the volume is _______ .
The lead coefficient is _______ .
1
Write a polynomial expression to represent the volume of the box.
Volume = _______ units3.
The degree of the volume is _______ .
The lead coefficient is _______ .
1
Write a polynomial expression to represent the volume of the box.
Volume = _______ units3.
The degree of the volume is _______ .
The number of terms in the simplified polynomial is _______ .