Identifying
Adding
Subtracting
Multiply (Basic)
FOIL/Box method
100
Many terms
Polynomial
100
(5p² − 3) + (2p ²− 3p³)
-3p³ + 7p² - 3
100
(5a + 4) - (5a + 3)
1
100
2x(2x + 6)
4x² + 12x
100
(7x - 6)(5x + 6)
35x² + 12x - 36
200
Three Terms
Trinomial
200
(4 + 2n³) + (5n³ + 2)
7p ³ + 6
200
(3x² - 3x) - (3x - 3x²)
6x² - 6x
200
-5(x - 1)
-5x + 5
200
(8n + 1)(6n - 3)
48n² - 18n - 3
300
Two Terms
Binomial
300
(4n − 3n³) + (3n³+ 4n)
8n
300
(2xy² - 6x + 3) - (-3xy² - 8 + 2)
5xy² + 2 + 1
300
3(2xy - 2x + 6)
6xy - 6x + 6
300
Isaiah's rectangular garden has a length of 6k + 5 and a width of 5k + 5. What is the area of the garden?
30k² + 55k + 25
400
One Term
Monomial
400
Emma wants to tie two pieces of string together. The first piece has a length of 2n - 6. The second piece has a length of 2n³ + 2n² + 6. What is the total measure of the pieces of string?
2n³ + 2n² + 2n
400
(8x + 7x² - 6) - (7x - 14x² + 6)
x + 21x² - 12
400
12x(2xy - 2)
24x²y - 24x
400
Georgina's rectangular card has a length of 7k − 3 and a width of k² − 2k + 7. What is the area of the card?
7k ³ - 17k² + 55k - 21
500
3x + 2y - 27
Trinomial
500
Rickford shoots a basketball and the ball travels 2x² + 3xy² - 6 feet. It bounces on the floor and moves again for 4xy² - 2x +10 feet. What is the total measure the basketball traveled?
2x² + 7xy² -2x + 4
500
2xy + 6x - 2y - 12x - 14xy - 6
-12xy - 6x - 2y - 6
500
2.5(2x - 4x² - 8)
- 10x² + 5x - 20
500
The measurements of the classroom is n² + 6n - 4 and 2n - 4. What is the area of the classroom?
2n³ + 8n² - 32n + 16
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