ALGEBRA

Like Terms

100

7x+3x-2x

8x

200

5a+2b-3a+4b

2a+6b

300

12m-7n+5m+3n

17m-4n

400

8x-3y+6x-7y+10

14x-10+10

500

15a+4b-7a+9-3b+6a-9

14a+b

Distributive Law

100

3(x+5)

3x+15

200

-(2y-7)

-2y+14

300

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

16x-2

400

3(2a-5)-2(4a+1)

-2a-17

500

5(2x-3y+4)-3(x+y-2)

7x-18y+26

Substitution

100

Evaluate 2x+5 when x=3.

11

200

Evaluate 3a² - 4 when a = 2

8

300

evaluate 2x + 3y when x = 4, y = 5

23

400

Evaluate 4m² - 3n when m=2, n=-1

19

500

Evaluate 2x/y + 3z² when x = 6, y = 3 and z = -2

16

Algebraic Fractions (Addition + Subtraction)

100

x/6 +x/3

x/2

200

3/x + 5/2x

11/2x

300

2a/3 - a/6

a/2

400

(y+2)/4 + (y-3)/6

5y/12

500

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

(5x+1)/(x+1)(x-1)

Algebraic Fractions (Multiplication + Division)

100

2/5 x 10/3

4/3

200

3x/4 x 8/9x 

2/3

300

2a²/3b x 9b/4a

3a/2

400

6x divided by y x 3 divided by 2y

4x

500

4a² / 5b ÷ 15b/26a

2ab