Álgebra

Algebraic language

100

Double a number x

2·x

200

Cube of a number a

a³

300

A quarter of a number y

y/4

400

The triple of a number x plus five

3 x + 5

500

Half of a number a minus the double of the same number

a/2 - 2·a

Numerical value

100

2 x + 5, if x = 3

2 · 3 + 5 = 6 + 5 = 11

200

2 a - 5 b , if a = 3 y b = 1

2 · 3 - 5 · 1 = 6 - 5 = 1

300

4 xy -2, si x =-1 and y=3

4 · (-1) · 3 - 2 = -12 - 2 = -14

400

5 x - 4/y, if x = -1 and y = 2

5 · (-1) - 4/2 = -5 - 2 = -7

500

(a+2)·(b-5) , if a=3, b=4

(3+2)·(4-5) = 5·(-1)=-5

Adding and subtracting

100

x+x+x =

3x

200

-6x² + 8x² +x² =

3x²

300

2x + 6x - 3 - 4 =

8x - 7

400

5x -x² + 3x² -8x =

-3x + 2x²

500

-5x + 2x³ + 8 - 4x - 12 =

 2x³ - 9x - 4

Multiplication

100

5·(4ab) =

20ab

200

(-4x²)·(2xy⁴)=

-8x³y^⁴

300

(5xz²)·(-3xy²z) =

-15x²y²z³

400

5·(4x -6) =

20x -30

500

-3·(-2x +8)

6x - 24

Division

100

(6x):3 =

2x

200

(-2x):(-2x) =

1

300

(-15a³):3a =

-5a²

400

3ab:15a²b =

1/5a

500

6a³:(-9a⁵) =

- 2/3a²