4 ESO Academics - Unit 04 - Exercises 4.4.1 - First Degree and Second Degree Equations.

1. UNIT 04 January
1. Solve:
a) 𝟓𝟓(𝒙𝒙 − 𝟐𝟐) + 𝒙𝒙 − (𝟒𝟒𝟒𝟒 − 𝟕𝟕) = 𝟗𝟗
b) 𝟖𝟖 − 𝟑𝟑(𝒙𝒙 + 𝟒𝟒) − (𝟐𝟐𝟐𝟐 − 𝟓𝟓)(−𝟐𝟐) = 𝟑𝟑𝟑𝟑
c) (𝟑𝟑𝟑𝟑 + 𝟖𝟖)(−𝟐𝟐) − (−𝒙𝒙 + 𝟓𝟓)𝟓𝟓 = −𝟏𝟏
d) 𝟗𝟗 + 𝟐𝟐𝟐𝟐 − (𝟑𝟑 + 𝟒𝟒𝟒𝟒) = −𝟔𝟔(𝟏𝟏 − 𝒙𝒙)
e) 𝒙𝒙 + 𝟒𝟒(−𝟐𝟐𝟐𝟐 + 𝟑𝟑) − 𝟏𝟏𝟏𝟏 = 𝟏𝟏 − 𝟑𝟑(𝒙𝒙 + 𝟓𝟓)
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.4.1.1

2. UNIT 04 January
2. Without solving write the number of solutions.
a) 𝒙𝒙𝟐𝟐
+ 𝒙𝒙 + 𝟏𝟏 = 𝟎𝟎
b) −𝒙𝒙𝟐𝟐
− 𝟑𝟑𝟑𝟑 + 𝟓𝟓 = 𝟎𝟎
3. Solve:
a) 𝒙𝒙𝟐𝟐
+ 𝒙𝒙 − 𝟐𝟐𝟐𝟐 = 𝟎𝟎
b) 𝒙𝒙𝟐𝟐
− 𝒙𝒙 − 𝟗𝟗𝟎𝟎 = 𝟎𝟎
c) 𝒙𝒙𝟐𝟐
+ 𝟔𝟔𝒙𝒙 − 𝟏𝟏𝟔𝟔 = 𝟎𝟎
d) 𝒙𝒙𝟐𝟐
− 𝟒𝟒𝟒𝟒 − 𝟐𝟐𝟐𝟐 = 𝟎𝟎
e) 𝟐𝟐𝒙𝒙𝟐𝟐
− 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟔𝟔 = 𝟎𝟎
f) 𝒙𝒙𝟐𝟐
− 𝟏𝟏𝟏𝟏 = 𝟎𝟎
g) 𝟑𝟑𝒙𝒙𝟐𝟐
= 𝟐𝟐𝟐𝟐
h) 𝟐𝟐𝒙𝒙(𝟏𝟏 − 𝒙𝒙) = 𝒙𝒙 − 𝟔𝟔
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.4.1.2