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1 ESO - Unit 09 - Exercises 1.9.2 - Equations.

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1 ESO - Unit 09 - Exercises 1.9.2 - Equations.

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UNIT 09 April 1. Solve: 𝒂𝒂) 𝒙𝒙 + 𝟑𝟑 = 𝟒𝟒 𝒃𝒃) 𝟓𝟓 + 𝒙𝒙 = 𝟒𝟒 𝒄𝒄) 𝟎𝟎 = 𝒙𝒙 + 𝟔𝟔 𝒅𝒅) 𝟏𝟏 = 𝟗𝟗 − 𝒙𝒙 𝒆𝒆) 𝟐𝟐 − 𝒙𝒙 = 𝟒𝟒 𝒇𝒇) 𝟔𝟔 = 𝒙𝒙 + 𝟖𝟖 𝒈𝒈) 𝟒𝟒 = 𝒙𝒙 − 𝟖𝟖 𝒉𝒉) 𝒙𝒙 − 𝟐𝟐 = −𝟔𝟔 2. Solve: 𝒂𝒂) 𝟑𝟑𝒙𝒙 − 𝟐𝟐 = 𝟎𝟎 𝒃𝒃) 𝟒𝟒𝒙𝒙 + 𝟓𝟓 = 𝟏𝟏𝟏𝟏 𝒄𝒄) 𝟐𝟐𝒙𝒙 − 𝟓𝟓 = 𝟗𝟗 𝒅𝒅) 𝟖𝟖 − 𝟑𝟑𝟑𝟑 = 𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.1
UNIT 09 April 𝒆𝒆) 𝒙𝒙 𝟐𝟐 + 𝟒𝟒 = 𝟕𝟕 𝒇𝒇) 𝒙𝒙 𝟑𝟑 − 𝟐𝟐 = 𝟑𝟑 3. Solve: 𝒂𝒂) 𝒙𝒙 + 𝟏𝟏 = 𝟔𝟔 𝒃𝒃) 𝒙𝒙 + 𝟖𝟖 = 𝟑𝟑 𝒄𝒄) 𝒙𝒙 − 𝟐𝟐 = 𝟒𝟒 𝒅𝒅) 𝒙𝒙 − 𝟔𝟔 = 𝟕𝟕 𝒆𝒆) 𝟒𝟒𝒙𝒙 = 𝟏𝟏𝟏𝟏 𝒇𝒇) 𝟒𝟒𝒙𝒙 = 𝟐𝟐𝟐𝟐 4. Solve: 𝒂𝒂) 𝟓𝟓𝒙𝒙 − 𝟒𝟒𝟒𝟒 = 𝟗𝟗 𝒃𝒃) 𝟕𝟕𝒙𝒙 − 𝟐𝟐𝟐𝟐 = 𝟏𝟏𝟏𝟏 𝒄𝒄) 𝟖𝟖𝒙𝒙 − 𝟓𝟓𝟓𝟓 = 𝒙𝒙 + 𝟖𝟖 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.2
UNIT 09 April 𝒅𝒅) 𝟑𝟑𝒙𝒙 + 𝟔𝟔 = 𝟐𝟐𝟐𝟐 + 𝟏𝟏𝟏𝟏 𝒆𝒆) 𝟓𝟓𝟓𝟓 − 𝟕𝟕 = 𝟐𝟐 − 𝟒𝟒𝟒𝟒 𝒇𝒇) 𝟑𝟑𝒙𝒙 + 𝒙𝒙 + 𝟒𝟒 = 𝟐𝟐𝟐𝟐 + 𝟏𝟏𝟏𝟏 𝒈𝒈) 𝟒𝟒𝟒𝟒 + 𝟕𝟕 − 𝒙𝒙 = 𝟓𝟓 + 𝟐𝟐𝟐𝟐 𝒉𝒉) 𝟖𝟖 − 𝒙𝒙 = 𝟑𝟑𝟑𝟑 + 𝟐𝟐𝟐𝟐 + 𝟓𝟓 5. Solve: 𝒂𝒂) 𝒙𝒙 𝟑𝟑 = 𝟓𝟓 𝒃𝒃) 𝒙𝒙 𝟓𝟓 − 𝟏𝟏 = 𝟐𝟐 𝒄𝒄) 𝟐𝟐𝒙𝒙 𝟓𝟓 + 𝟑𝟑 = 𝟕𝟕 𝒅𝒅) 𝒙𝒙 𝟐𝟐 + 𝟓𝟓𝟓𝟓 𝟐𝟐 = 𝟗𝟗 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.3
UNIT 09 April 6. Solve: 𝒂𝒂) 𝟕𝟕 − (𝟏𝟏 − 𝟑𝟑𝟑𝟑) = 𝟏𝟏𝟏𝟏 𝒃𝒃) (𝟑𝟑𝒙𝒙 − 𝟐𝟐) − (𝟐𝟐𝟐𝟐 + 𝟑𝟑) = 𝟎𝟎 𝒄𝒄) (𝟐𝟐𝒙𝒙 − 𝟏𝟏) − (𝒙𝒙 − 𝟕𝟕) = 𝟐𝟐 𝒅𝒅) 𝟑𝟑(𝟐𝟐𝟐𝟐 − 𝟏𝟏) − 𝟏𝟏 = 𝟓𝟓(𝟑𝟑𝟑𝟑 − 𝟐𝟐) + 𝟑𝟑 7. How many cows has a rancher knowing that we count 222 between horns and paws? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.4
UNIT 09 April 8. How many hens are in a henhouse if counting peaks, legs and crests come out 88? 9. A kilo of cherries costs two euros more than one kilo of pears. Lara has paid € 8 for three kilos of pears and one of cherries. What is the price of each one? 10. The base of a rectangle is twice the height, and the perimeter measures 48 cm. What are the dimensions of the rectangle? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.5
UNIT 09 April 11. The price of oranges has risen € 0.20 per kilo. Five kilos cost the same yesterday as today four kilos. What is the price of oranges? 12. Fátima has 50 stamps more than Araceli. If Fátima gaves her 8 stamps, she would still have the triple. How many stamps does each have? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.6

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1 ESO - Unit 09 - Exercises 1.9.2 - Equations.

  • 1. UNIT 09 April 1. Solve: 𝒂𝒂) 𝒙𝒙 + 𝟑𝟑 = 𝟒𝟒 𝒃𝒃) 𝟓𝟓 + 𝒙𝒙 = 𝟒𝟒 𝒄𝒄) 𝟎𝟎 = 𝒙𝒙 + 𝟔𝟔 𝒅𝒅) 𝟏𝟏 = 𝟗𝟗 − 𝒙𝒙 𝒆𝒆) 𝟐𝟐 − 𝒙𝒙 = 𝟒𝟒 𝒇𝒇) 𝟔𝟔 = 𝒙𝒙 + 𝟖𝟖 𝒈𝒈) 𝟒𝟒 = 𝒙𝒙 − 𝟖𝟖 𝒉𝒉) 𝒙𝒙 − 𝟐𝟐 = −𝟔𝟔 2. Solve: 𝒂𝒂) 𝟑𝟑𝒙𝒙 − 𝟐𝟐 = 𝟎𝟎 𝒃𝒃) 𝟒𝟒𝒙𝒙 + 𝟓𝟓 = 𝟏𝟏𝟏𝟏 𝒄𝒄) 𝟐𝟐𝒙𝒙 − 𝟓𝟓 = 𝟗𝟗 𝒅𝒅) 𝟖𝟖 − 𝟑𝟑𝟑𝟑 = 𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.1
  • 2. UNIT 09 April 𝒆𝒆) 𝒙𝒙 𝟐𝟐 + 𝟒𝟒 = 𝟕𝟕 𝒇𝒇) 𝒙𝒙 𝟑𝟑 − 𝟐𝟐 = 𝟑𝟑 3. Solve: 𝒂𝒂) 𝒙𝒙 + 𝟏𝟏 = 𝟔𝟔 𝒃𝒃) 𝒙𝒙 + 𝟖𝟖 = 𝟑𝟑 𝒄𝒄) 𝒙𝒙 − 𝟐𝟐 = 𝟒𝟒 𝒅𝒅) 𝒙𝒙 − 𝟔𝟔 = 𝟕𝟕 𝒆𝒆) 𝟒𝟒𝒙𝒙 = 𝟏𝟏𝟏𝟏 𝒇𝒇) 𝟒𝟒𝒙𝒙 = 𝟐𝟐𝟐𝟐 4. Solve: 𝒂𝒂) 𝟓𝟓𝒙𝒙 − 𝟒𝟒𝟒𝟒 = 𝟗𝟗 𝒃𝒃) 𝟕𝟕𝒙𝒙 − 𝟐𝟐𝟐𝟐 = 𝟏𝟏𝟏𝟏 𝒄𝒄) 𝟖𝟖𝒙𝒙 − 𝟓𝟓𝟓𝟓 = 𝒙𝒙 + 𝟖𝟖 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.2
  • 3. UNIT 09 April 𝒅𝒅) 𝟑𝟑𝒙𝒙 + 𝟔𝟔 = 𝟐𝟐𝟐𝟐 + 𝟏𝟏𝟏𝟏 𝒆𝒆) 𝟓𝟓𝟓𝟓 − 𝟕𝟕 = 𝟐𝟐 − 𝟒𝟒𝟒𝟒 𝒇𝒇) 𝟑𝟑𝒙𝒙 + 𝒙𝒙 + 𝟒𝟒 = 𝟐𝟐𝟐𝟐 + 𝟏𝟏𝟏𝟏 𝒈𝒈) 𝟒𝟒𝟒𝟒 + 𝟕𝟕 − 𝒙𝒙 = 𝟓𝟓 + 𝟐𝟐𝟐𝟐 𝒉𝒉) 𝟖𝟖 − 𝒙𝒙 = 𝟑𝟑𝟑𝟑 + 𝟐𝟐𝟐𝟐 + 𝟓𝟓 5. Solve: 𝒂𝒂) 𝒙𝒙 𝟑𝟑 = 𝟓𝟓 𝒃𝒃) 𝒙𝒙 𝟓𝟓 − 𝟏𝟏 = 𝟐𝟐 𝒄𝒄) 𝟐𝟐𝒙𝒙 𝟓𝟓 + 𝟑𝟑 = 𝟕𝟕 𝒅𝒅) 𝒙𝒙 𝟐𝟐 + 𝟓𝟓𝟓𝟓 𝟐𝟐 = 𝟗𝟗 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.3
  • 4. UNIT 09 April 6. Solve: 𝒂𝒂) 𝟕𝟕 − (𝟏𝟏 − 𝟑𝟑𝟑𝟑) = 𝟏𝟏𝟏𝟏 𝒃𝒃) (𝟑𝟑𝒙𝒙 − 𝟐𝟐) − (𝟐𝟐𝟐𝟐 + 𝟑𝟑) = 𝟎𝟎 𝒄𝒄) (𝟐𝟐𝒙𝒙 − 𝟏𝟏) − (𝒙𝒙 − 𝟕𝟕) = 𝟐𝟐 𝒅𝒅) 𝟑𝟑(𝟐𝟐𝟐𝟐 − 𝟏𝟏) − 𝟏𝟏 = 𝟓𝟓(𝟑𝟑𝟑𝟑 − 𝟐𝟐) + 𝟑𝟑 7. How many cows has a rancher knowing that we count 222 between horns and paws? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.4
  • 5. UNIT 09 April 8. How many hens are in a henhouse if counting peaks, legs and crests come out 88? 9. A kilo of cherries costs two euros more than one kilo of pears. Lara has paid € 8 for three kilos of pears and one of cherries. What is the price of each one? 10. The base of a rectangle is twice the height, and the perimeter measures 48 cm. What are the dimensions of the rectangle? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.5
  • 6. UNIT 09 April 11. The price of oranges has risen € 0.20 per kilo. Five kilos cost the same yesterday as today four kilos. What is the price of oranges? 12. Fátima has 50 stamps more than Araceli. If Fátima gaves her 8 stamps, she would still have the triple. How many stamps does each have? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.9.2.6