Polynomials

Vocabulary

100

What is the degree and type of polynomial

2x³

3rd degree and Monomial

200

degree of polynomial and name of polynomial.

 - 6a - 5a²

2 and Binomial

300

Name the constant and type.

-10k³ + k +1 

1 and  Trinomial

400

Name the leading coefficient and type:

10a³ - 6a⁴

6 and Binomial

500

Place the polynomial in standard order. State the leading coefficient and degree. 

4x - 9x² + 4x³ - 5x⁴

-5x⁴+ 4x³- 9x² +4x

Leading coefficient  -5

Degree 4

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Integers/order of operations

100

Solve:

5 + 3² x 2=

5 + 3² x 2=

5+ 9 x 2=

5 + 18 = 23

200

Solve:

- 2 - (-8) =

6

300

Solve:

(15 - 2³) x 4 =

(15 - 2³) x 4 =

(15 - 8) x 4=

7x4 = 28

400

Solve: 

(10 - 13)³ + 20

(10 - 13)³ + 20

(-3)³ + 20

-27 + 20

= -7

500

Jane got on an elevator on the 8th floor. The elevator went up 9 floors before going down 15 floors where Jane got off to visit he friend. What floor does her friend live on?

8 + 9 - 15 = 2nd floor

Exponents

100

Write in expanded form and solve:

4³

4 x 4 x 4 = 64

200

Solve:

- (-5)(-5)(-5)

125

300

Simplify:

2⁷ x 2¹²

2¹⁹

400

Simplify:

(5⁹)³

5²⁷

500

Simplify and solve

(2⁷ x 2³)²

    2¹⁷

2³=8