Basics of Algebra

Simplifying expressions

100

2(3x-3)

6x-6 

200

4(6x-6)

24x-24

300

2(4x+6)

      8

 

8x+12

   8

400

35x-20

----------

      5

7x-4

500

72-36x

--------

    9

-8-4x

Combining like terms

100

4b + 5b

9b

200

-11c + 7c - 5c

-9c

300

6a^3 -7a + 8a

6a^3 + 1a 

400

8x^2 + 4z-8 + 3x

8x^2 + 4z-8 + 3x

500

5y^3 + 7x^2 +3x -2 +4x^3 + 4x^2 -6x -6

5y^3 + 4x^3 +11x^2 -3x -8

Adding + Subtracting Polynomials

100

(8x^2-6x+54) + (4x + 9)

8x^2 -2x +63

200

(7x^2 +5x -5) - (-3x^2 + 7x - 9)

10x^2 -2x + 4

300

(-5x^3 + 10x - 4) + (6x +13)

-5x^3 + 16x + 9

400

(9x^2 + 7x + 11) + (6x^2-5x + 10)

15x^2 +2x +21

500

(-5x^3 + 16x^2 -41x) - (13x^2 + 12x - 51)

-5x^3 + 3x^2 +29x +51

Solving equations

100

6q -5 = -10 + q

q = -1

200

14 + r = 125

r = 111

300

x  = 21

--

4

x = 84

400

6x + 5 = 33 -8x

x = 2

500

4(3x-1)    -5 = 12

---------

     4

x = 6