Checkpoint 8.1 - 8.4 Review

Polynomial Vocab

100

Is the following polynomial a monomial, binomial, or trinomial? 

7x²y³ - 10x⁴

Binomial

200

State the degree of the polynomial: 

12ab³ + 5a⁵b² - 3a²b

7

300

Rewrite the polynomial so that it is in standard form: 

6h² - 8h⁴ +9 - 3h

-8h⁴ + 6h² - 3h + 9

400

Rewrite the polynomial so that it is in standard form and find the leading coefficient: 

12ab³ + 5a⁵b² - 3a²b

5a⁵b² + 12ab³ - 3a²b

leading coefficient: 5

500

Which of the following is not considered a polynomial? 

A. 5x⁶ 

B. 7h^-4 + 3h

C. 8a² - 2b + 3c

B

Adding Polynomials

100

Simplify: 

(4y + 5) + (-7y - 1) 

-3y + 4

200

Simplify: 

(2m² + 6m) + (m² - 5m + 7) 

3m² + m + 7

300

Simplify: 

(2h² - 5h) + (7h - 3h²) 

-h² + 2h

400

Simplify: 

(6k² + 9 - 2k) + (8 - 3k² - 8k) 

3k² - 10k + 17

500

Simplify:

3(4a² - 8a + 5) + 2(6a + 10) 

12a² - 12a + 35

Subtracting Polynomials

100

Simplify: 

(5g + 7) - (3g + 8)

2g - 1

200

Simplify: 

(4k² + 8k + 2) - (2k - 3) 

4k² + 6k + 5

300

Simplify: 

(x² - 3x) - (2x² + 5x - 3)

-x² - 8x + 3

400

Simplify: 

(c - c² + 5) - (5 - 4c² + 7c)

3c² - 6c

500

Simplify: 

3(7g - 2) - 3(g² - 2g + 1)

-3g² + 27g - 9

Multiplying Polynomials

100

Simplify: 

4a(3a³ - 5a + 9) 

12a⁴ - 20a² + 36a

200

Simplify: 

5g³h(4g² + 6gh - 3h)

20g⁵h + 30g⁴h² - 15g³h²

300

Simplify: 

(h + 9)(2h - 7)

2h² + 11h - 63

400

Simplify: 

(2a - 5)(3a + 8)

6a² + a - 40

500

Simplify: 

(4x - 5)(3x² - 6x + 2)

12x³ - 39x² + 38x - 10

Special Products

100

Simplify:

(3x + 2)(3x - 2)

9x² - 4

200

Simplify: 

(6x - 5)(6x + 5)

36x² - 25

300

Simplify: 

(4g - 3)²

16g² - 24g + 9

400

Simplify: 

(3y + 7)²

9y² + 42y + 49

500

Simplify: 

(6xy - 1)²

36x²y² - 12xy + 1