Your task is to get to know different types of equationstypes of equationstypes of equations.

From the following equations, choose first degree equations with one unknown.

a) $3x+y=4$

b) $x-4x+3=5x+1$

c) $a^2-4a=0$

d) $x^4+5x^2=2x$

e) $10y-1=y-10$

f) $\frac{x-3}{2}=10$

g) $3z^4=z^2+7z$

Write the following sentences in the form of equations.

a) A third of the number x minus 3 is equal to 7.

b) 40% of the number v is greater than v by 2.

c) The sum of the number s and number 4 is equal to the half of number s.

d) A number 23% greater than x is equal to 46.

e) Number x is 38% smaller than number 28.

Write an equationequationequation that represent the perimeter of the figure presented in the picture, knowing that it is equal to 48 cm.

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Rysunek przedstawia figurę zbudowaną z dwóch prostokątów. Prostokąt jeden o bokach długości 4 pomnożyć przez a dodać 1 i a. Drugi prostokąt styczny do pierwszego krótszym bokiem o długości a, narysowany od lewego końca dłuższego boku prostokąta pierwszego o długości 4 pomnożyć przez a dodać 1 i a. Dłuższy bok prostokąta drugiego ma długość 2 pomnożyć przez a odjąć 2.

Hania saved x 5 zł coins and 3 more 2 zł coins and 4 times more 50 gr coins. Write the equationequationequation that describes the amount of coins she saved, knowing that together there is 33 of them, and an equationequationequation that describes the amount of money in she saved, knowing that together she saved 61 zł.

An extra task:

Mum and daughter together have 53 years. The daughter is 23 years younger than the mother. Identify the unknown and write a proper equationequationequation.

The sum of three consecutive odd numbers is equal to 51. Write an equation describing this situation.

Write this sentence in the form of an equation.

The number 25% smaller than z is smaller than z by 20.

Describe the solution in English.