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How do we solve equations that involve fractions? Before we get started, I am assuming you already know how to solve equations by balancing: you must do the exact same thing to both sides. So lets have a look at how to solve equations involving fractions. EXAMPLE: (2f + 8) / 3 = 6. The whole of 2f plus 8 has been divided by 3. We need to move this ‘3’ first so that everything is on the same level. No denominators. So multiply both sides by 3. Multiplying by 3 and dividing by 3 on the left hand side means that the 3's cancel each other on the left hand side. This leaves a simple linear equation to solve. 2f + 8 = 6 X 3 which simplifies to 2f + 8 = 18. Solve it: 2f = 10, so answer f=5. Easy! As always, check your answer. Substitute f=5 into the original question. EXAMPLE 2: (20 + 7e) / 2 = 2e + 7. Start by multiplying both sides by 2 to remove the '2' from the denominator on the left hand side. This means the times by 2 and divide by 2 on the left hand side cancel each other out. We now have this equation: 20 + 7e = 2(2e + 7). Expand the bracket on the right hand side and solve. 20 + 7e = 4e + 14. Simplify and solve: 3e = -6. Answer: e = -2.
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Plants have developed responses called tropisms. A tropism is a growth in response to a stimulus; so light and water in the plant’s case.
There are different types of tropisms: Positive tropisms are when growth is towards the stimulus - so the plant growing towards the light to maximise the stimul
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CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Lucy Billings
Look at these baby animals. You will have immediately observed how cute and fluffy they are but you will
also have noticed that they are different -
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Enzymes are really important proteins, that speed up the rates of reactions such as in photosynthesis, respiration and protein synthesis.
The enzymes and substrates are always moving, and occasionally they collide at the right speed and