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HG U1D6 Putting It All Together Aug8

Last updated about 1 year ago

15 Nsɛmmisa

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How do use polynomials to express volume?

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Asemmisa {{asɛmmisaAhyɛnsode}}

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) = .

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Write a polynomial in standard form to represent the area of the shaded region in the polygon.

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Area = cm².

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Write a polynomial in standard form to represent the area of the shaded region in the polygon.

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Area = cm².

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Write a polynomial in standard form to represent the area of the shaded region in the polygon.

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Area = m².

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Write a polynomial in standard form to represent the area of the shaded region in the polygon.

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Area = m².

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

Write a polynomial in standard form to represent the area of the shaded region in the polygon.

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Area = m².

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

Perimeter

Write a polynomial expression to represent the perimeter of the polygon.

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Perimeter = units

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8.

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

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Ɛnyɛ ampa

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

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

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Ɛnyɛ ampa

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

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

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Ɛnyɛ ampa

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

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.

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Ɛnyɛ ampa

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

Write a polynomial expression to represent the volume of the box.

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Volume = mm³.

The degree of the volume is .

The lead coefficient is .

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

Write a polynomial expression to represent the volume of the box.

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Volume = units³.

The degree of the volume is .

The lead coefficient is .

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

Write a polynomial expression to represent the volume of the box.

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Volume = units³.

The degree of the volume is .

The number of terms in the simplified polynomial is .