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Solved Examples
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ee  The sum of n terms of an Arithmetic Progression, Sn, is given by the formula Sn = n2(a + l), where a is the first term and l is the last term of the A.P. Find the first term of the A.P if its last term is 67, and the sum of 8 terms is 288?  ee View Solution
ee  What will be your first step to solve the equation 8w - 9r = 8b7e , for w ?
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ee  Solve 3iy + 6b = 7a for y and indicate any restrictions on the values of the variables.
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ee  Solve the equation 7j-5i4r = 13b for r, and indicate any restrictions on the values of the variables.  ee View Solution
ee  Use the properties of equality to solve the equation 7x - 6 = 29.
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ee  Solve the equation 4(17y + 20) = 8y + 21 using the properties of equality.
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ee  Solve e4a + 5j = 6 for e.  ee View Solution
ee  Tell what you would first do to solve the equation 2n + 38 = 3m - 6u for n.
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c   Write the first step to solve the equation: 4i(8e + 2u3 ) = 13 for u. Do not solve the equation.
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c   Write the first step to solve the equation 52(9 + 10e) = 5b for e.
   c
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c   Solve 3g(11ez + 10h) = 2j(lz + 7) for z and indicate any restrictions on the values of the variables.   c View Solution
c   Solve 55l = 5a + 112b, l ≠ 0, b ≠ 0, for l.
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c   Solve c = 4p + 12q16 for p.
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c   Solve 3s + 12i = 14hj for s and indicate any restrictions on the values of the variables.   c View Solution
c   The total surface area of a cuboid is given by the formula A = 2(lw + wh + lh). Find the height of a cuboid whose length is 96 cm, width is 47 cm, and total surface area is 23038 cm²?
   c
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c   The kinetic energy E, of a body moving with a velocity v is given by the equation E = 12mv2, where m is the mass of the body. Find the mass of a body moving with a velocity 69 m/s and having an energy of 3381 N. (Round the answer to two decimal places.)
   c
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c   The formula x = p + x-p22p + 1 is used to approximate the square root of a number x, where p is the square root of the nearest perfect square less than x. Use the equation to find 51.
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c   Solve s = 2πr(r + h) for h and indicate any restrictions on the values of the variables.   c View Solution
c   Solve n = aq(q - r) for q and indicate any restrictions on the values of the variables.   c View Solution
c   Solve 165m = 6a + 559i, m ≠ 0, i ≠ 0, for m.
   c
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c   Use the properties of equality to solve the equation 7y - 6 = 29.
   c
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c   Solve the equation 3(13z + 14) = 6z + 18 using the properties of equality.
   c
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c   Solve b4c + 6a = 7 for b.   c View Solution
c   Tell what you would first do to solve the equation 7l + 83 = 8q - 6t for l.
   c
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c   Write the first step to solve the equation: 7c(5i + 6x7 ) = 29 for x. Do not solve the equation.
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c   Solve the formula p = 2(l + b) for b.
   c
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c   Solve F = 95C + 32 for C.
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c   What will be your first step to solve the equation 9m - 10t = 4c3d , for m ?
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c   Solve 6ak + 8i = 2d for k and indicate any restrictions on the values of the variables.
   c
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c   Solve the equation 6d-3a7v = 10h for v, and indicate any restrictions on the values of the variables.   c View Solution
c   Solve P = 100IRT for I.   c View Solution
c   Solve the formula V = 13π r2 h for the variable h. Indicate any restrictions on the values of the variables.   c View Solution
c   Solve the formula v = u + at for a. Indicate any restrictions on the values of the variables.   c View Solution
c   Write the first step to solve the equation 115(4 + 5i) = 2g for i.
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c   Solve z = 2p + 12q14 for p.
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c   Solve 1f = 1u + 1v for u.   c View Solution
c   Solve 3d(12jz + 11g) = 2a(vz + 9) for z and indicate any restrictions on the values of the variables.   c View Solution
c   The total surface area of a cuboid is given by the formula A = 2(lw + wh + lh). Find the height of a cuboid whose length is 43 cm, width is 25 cm, and total surface area is 6774 cm²?
   c
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c   The volume of a sphere is given by the formula V = 43πr3. Find the radius of a sphere whose volume is 1417 m3?   c View Solution
c   The kinetic energy E, of a body moving with a velocity v is given by the equation E = 12mv2, where m is the mass of the body. Find the mass of a body moving with a velocity 60 m/s and having an energy of 1500 N. (Round the answer to two decimal places.)
   c
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c   Solve V = π(R - s)h for s.   c View Solution
c   Solve 5n + 7g = 12bi for n and indicate any restrictions on the values of the variables.   c View Solution
c   Solve m = y2 -y1x2 -x1 for x1.
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c   Solve y = mx + c for m.   c View Solution
c   The formula x = p + x-p22p + 1 is used to approximate the square root of a number x, where p is the square root of the nearest perfect square less than x. Use the equation to find 39.
   c
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