Unit 1 - Polynomials Review

Sum

100

(2x + 3) + (4x – 1)

6x+2

200

(c² - 2c + 4) + (5c - 7)

c² + 3c - 3

300

(5k² – 10k – 7) + (-7k² + k – 8)

-2k²-9k-15

400

-(x² + 5x – 10) + (3x² – 7x + 1)

2x²-12x+11

500

Find the sum of the polynomials (2y2 + 10y – 12) and (5y2 – 10y + 4).

7y²-8

Difference

100

(2x + 3) – (4x – 1)

-2x+4

200

(c² - 2c + 4) - (5c - 7)

c² - 7c + 11

300

(12x² + 3x – 9) – (3x² – 8x + 4)

9x²+11x-13

400

-(4v² + 21v + 13) – (v² – 13v – 10)

-5v²-8v-3

500

Find the difference of the polynomials (2y2 + 10y – 12) and (5y2 – 10y + 4).

-3y²+20y-16

Product

100

(2x + 3)(4x – 1)

8x²+10x-3

200

(h – 3)(h – 5)

h²-8h+15

300

(2r + 3)²

4r²+12r+9

400

Find the product of the binomials (n + 7) and (n – 3).

n²+4n-21

500

Find the product of (3d – 4)²

9d²-24d+16

Perimeter

100

Find the perimeter of a rectangle with sides that measure 5h and 2h-1.

14h-2

200

Find the perimeter of a rectangle with sides that measure m² – 2m + 3 and m + 1.

2m²-2m+8

300

A triangle has sides that measure 5x + 2y, -2x + 8y + 4 and 10 – 7x + 2y.  What is the perimeter of the triangle?

-4x+12y+4

400

Find the perimeter of a square with a side length of n+5.

4n+20

500

A rectangle has a perimeter represented by the polynomial expression 10p + 20. One of the side lengths measures 3p - 4, what is the expression that represents the other side measure of the rectangle?

2p+14

Area

100

Find the area of a rectangle with sides that measure 5h and 2h-1.

10h²-5h

200

Find the area of a rectangle that measures (r²-7) by (2r).

2r³-14r

300

Find the area of a square with a side length of n-3.

n²-6n+9

400

Find the area of a triangle with a base that measures (5x+2) and a height that measures (4x-2).

10x²-x-2

500

Find the total area of 2 squares that have sides that measure x+6 and x-2

2x² + 8x + 40