3 ESO - Algebra

Translate the sentences into algebraic expressions

100

Double a number

2x

200

The next of a number

x+1

300

The sum of three consecutive numbers

x+(x+1)+(x+2)

400

The age of Marie in 2023 if she will be "x" years old in 2039

x - 16

500

Peter is "x" years old. His father is twice his age. How old was the father 5 years ago?

2x - 5

Calculate the numerical value of the expressions

100

2x+1 when x = 5

11

200

3x² - 2 when x = -2

10

300

\frac{x}{3}+\frac{x}{2}-x

when x = 12

-2

400

2 · 2/(3*x^2)

when x=-4

1/12

500

-x^4+x^3-x^2+x-2

when x=-2

-32

Operations with monomials and polynomials

100

x·x

x²

200

5x²·10x³

50x⁵

300

(2/3x^2):(4/3x)=

1/2x

400

P(x)=-4x^2+2

Q(x)=x^3-2x^2+4x

Calculate P(x) - 2·Q(x)

-2x^3-8x+2

500

P(x)=-4x^2+2

Q(x)=x^3-2x^2+4x

Calculate P(x) · Q(x)

-4x^5+8x^4-14x^3-4x^2+8x