Adding/Subtracting Polynomials

Standard Form

100

Put in standard form: x² - 5 + 4x

x² + 4x - 5

200

Is the expression in standard form:

x⁴ + 2x³ - x + 9 

Yes

300

Put the expression in standard form:

7 - x⁴ + x

- x⁴ + x + 7

400

Put the expression in standard form:

-9 + x

x - 9

500

Put in standard form:

x² - 10 + 2x + 5x⁵

5x⁵ + x² + 2x - 10

Combine Like Terms

100

Add:  4a²b² + -9a²b²

-5a²b²

200

Can 3x and 6x be combined?

Yes

300

Are these like terms? x² , x , 2ab

No

400

Add like terms: x² + 2x - 4x² + 3x

-3x² + 5x

500

Combine these terms:

5 + 4c⁴ - 2c + 10 - 3c

4c⁴ - 5c +15

Adding

100

Add the like terms. (2x² + 4) + (x² + 3)

3x² + 7

200

Add (2x² + x - 4) + (x² + 3x + 5)

3x² + 4x - 1

300

Add (2x² - 4) + (x² + 3x - 3)

3x² + 3x - 7

400

(5x² - 6x +2) + (x² + 3x - 3)

6x² -3x - 1

500

(-2x² - 7) + (-4x² + 3x +2)

-6x² + 3x - 5

Subtracting

100

Subtract (3x² + 4) - (2x² + 2)

x² + 2

200

Subtract (4x² + 3x) - (x²+ 2x)

3x² + x

300

Subtract (2x² -5x - 4) - (x² + 3x + 3)

x² - 8x - 7

400

Subtract (-3x² +4x + 6) - (x² - 3x - 3)

-4x² + 7x + 9

500

Subtract (3x² - 3x + 8) - (5x² -3x - 2)

-2x² + 10

Solve for X

100

Solve for x:

x + 4 = 10

x = 6

200

Solve for x:

8 + 2x = 10

x = 1

300

Solve for x:

x - 9 + 8 = 7

x = 8

400

Solve for x:

x + 3x -18 = 3

x = 7

500

Solve for x:

2x - 6 + 4 = 10

x = 6