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Circle the linear equations in one variable in the answer space.

Mathematics

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Here's a detailed breakdown for question 2.

2. Bulatkan persamaan linear dalam satu pemboleh ubah pada ruang jawapan.
Circle the linear equations in one variable in the answer space.

A linear equation in one variable must meet two criteria:

  1. It contains only one type of variable.
  2. The highest power of that variable is 1.

Let's check each expression:

  • 10−7x=−0.510 - 7x = -0.5: This has one variable (xx) with a power of 1. ✅
  • 5+2w3=15 + \frac{2w}{3} = 1: This has one variable (ww) with a power of 1. ✅
  • 12r−3=r\frac{1}{2r} - 3 = r: This can be written as 12r−1−3=r\frac{1}{2}r^{-1} - 3 = r. Since rr has a power of −1-1, it is not linear. ❌
  • 4g+g2=24g + g^2 = 2: This has one variable (gg), but the highest power is 2 (g2g^2), so it is not linear. ❌
  • y+4=xy + 4 = x: This has two different variables (yy and xx), so it is not a linear equation in one variable. ❌
  • 6+4b=26 + 4b = 2: This has one variable (bb) with a power of 1. ✅
  • 1−b2=b1 - b^2 = b: This has one variable (bb), but the highest power is 2 (b2b^2), so it is not linear. ❌
  • 2t−3=s2t - 3 = s: This has two different variables (tt and ss), so it is not a linear equation in one variable. ❌
  • 4h−2=−3h4h - 2 = -3h: This has one variable (hh) with a power of 1. ✅
  • 4−vw=64 - vw = 6: This has two different variables (vv and ww) and they are multiplied (vwvw), which means it is not linear. ❌

The linear equations in one variable to be circled are:

  • 10−7x=−0.5\boxed{10 - 7x = -0.5}
  • 5+2w3=1\boxed{5 + \frac{2w}{3} = 1}
  • 6+4b=2\boxed{6 + 4b = 2}
  • 4h−2=−3h\boxed{4h - 2 = -3h}
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