Algebra Review

Like Terms

100

Combine like terms:

3x + 7 - x

2x + 7

200

Combine like terms:

4x² - 3x + x² - 5

5x² - 3x - 5

300

Combine like terms - leave answer in Standard Form:

-4x - 5x + 6x³ + 8

6x³ - 9x + 8

400

Combine like terms and leave in Standard Form:

18xyz + -17xyz - 16x²

-16x² + xyz

500

Combine like terms and leave in Standard Form:

-x³ - 3x² + 4x³ - 3x² + 5x⁵

5x⁵ + 3x³ - 6x²

Adding

100

Add the polynomials:

(2x + 2) + (3x - 1)

5x + 1

200

Add the polynomials:

(x² + 4x + 4) + (x² + 4x + 4)

2x² +8x + 8

300

Add the polynomials:

(3x⁴ + 6x² + 14x - 5) + (3x³ + 3x² - 10)

3x⁴ + 3x³ + 9x² + 14x - 15

400

Add the polynomials and write answer in standard form:

(15x + 6x³ - 2x² + x⁷) + (3x⁷ - 5x + 4x² - 6x³)

4x⁷ + 2x² + 10x

500

Add the polynomials and write the answer in standard form:

(-3x³ + x + 3x³ + x) + (2x² - 2x + 15)

2x² + 15

Subtracting

100

Subtract the polynomials and write the answer in standard form:

(2x + 15) - (x + 4)

x + 11

200

Subtract the polynomials and write the answer in standard form:

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

300

Subtract the polynomials and write the answer in standard form:

(5x² + 3x + 7) - (x³ + 2x² + 1)

-x³ + 3x² + 3x + 6

400

Subtract the polynomials and write the answer in standard form:

(-7x² - 4x - 7) - (7x² - 4x - 11)

-14x² + 4

500

Subtract the polynomials and write the answer in standard form:

(3x - 3x² - 3x³ - 3x⁴) - (3x - 3x² - 3x³ - 3x⁴)

0

Multiplying

100

Multiply the polynomials and write the answer in standard form. 

(x-5) (x+5)

x² - 25

200

Multiply the polynomials and write the answer in standard form.

(x+2) (x+3)

x² + 5x + 6

300

Multiply the polynomials and write the answer in standard form. 

(x+5) (2xy + 3 - 2x)

2x²y - 2x² + 10xy- 7x +15

400

Multiply the polynomials and write the answer in standard form. 

(3x + 4) (5x⁴ + 7x³ +5x)

15x⁵ + 41x⁴ + 28x³ + 15x² + 20x

500

Multiply the polynomials and write the answer in standard form. 

(4x²  + x +5) (3x⁶ + 2x⁵ + 5)

12x⁸ + 11x⁷ + 17x⁶ + 10x⁵ + 20x² + 5x + 25

GCF

100

What is the greatest common factor of 7 and 14?

7

200

What is the greatest common factor of 12 and 20?

4

300

What is the greatest common factor of 21 and 35?

7

400

What is the greatest common factor of 36 and 45?

9

500

What is the greatest common factor of 11 and 88?

11