Adding/Subtracting Polynomials

Adding Polynomials

100

(3x² - 2x) + (5x² + 6x)

8x² + 4x

200

(5x³ + 2x² - 4) + (3x³ - x² - 5)

8x³ + x² - 9

300

(5x⁴ - 6x³ + 8) + (4x³ - 8x + 12)

5x⁴ - 2x³ - 8x + 20

400

(-3x³ - 2x² + 6xy) + (4x³ - 7xy + 8)

x³ - 2x² - xy + 8

500

(14x⁵ - 6x³ + 3xy² - 1) + (8x⁴ + 3x³ - 7x² + 9)

14x⁵ + 8x⁴ - 3x³ - 7x² + 3xy² + 8

Subtracting Polynomials

100

(7x+2) - (5x+10)

2x - 8

200

(7x² + 4x - 8) - (2x² - 2x + 5)

5x² + 6x - 13

300

(7x + 3x² - 1) - (4x + 2 - x²)

4x² + 3x - 3

400

(6 - 2xy + 3x³ + 4x²) - (x³ + x² - 6xy)

2x³ + 3x² + 4xy + 6

500

(-10xy + 3x⁵ - 2x⁴ + 3x²) - (-10xy - 7 + 4x⁴ - 8x⁵)

11x⁵ - 6x⁴ + 3x² + 7

Combining Like Terms

100

Simplify the expression by combining like terms:

4x + 5 - x

3x + 5

200

Simplify the expression by combining like terms:

6 - y + 3

-y + 9

300

Simplify the expression by combining like terms: 

2p² + 5 - p² + 4

p² + 9

400

Simplify the expression by combining like terms:

4t² - 8t - 6t² + 10v - v²

-2t² - 8t - v² + 10v

500

Simplify the expression by combining like terms:

5y - y² + y - 3z² + z - 4z

-y² + 6y - 3z² - 3z

Trivia

100

Which Avenger is the only one who can calm the Hulk down?

Black Widow

200

Which European nation was said to invent hot dogs?

Germany

300

About how many taste buds does the average human tongue have?

10,000

400

In which year World War I begin?

1914

500

Which mammal has no vocal cords? (no mammals in the ocean)

Giraffe