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B 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? B

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B What will be your first step to solve the equation 8w  9r = 8b7e , for w ? B

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B Use the properties of equality to solve the equation 7x  6 = 29. B

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B Solve the equation 4(17y + 20) = 8y + 21 using the properties of equality. B

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B Tell what you would first do to solve the equation 2n + 38 = 3m  6u for n. B

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B Write the first step to solve the equation: 4i(8e + 2u3 ) = 13 for u. Do not solve the equation. B

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B Write the first step to solve the equation 52(9 + 10e) = 5b for e. B

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B Solve 3iy + 6b = 7a for y and indicate any restrictions on the values of the variables. B

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B Solve the equation 7j5i4r = 13b for r, and indicate any restrictions on the values of the variables. B

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B Solve 3g(11ez + 10h) = 2j(lz + 7) for z and indicate any restrictions on the values of the variables. B

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B Solve 3s + 12i = 14hj for s and indicate any restrictions on the values of the variables. B

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B 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? B

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B 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.) B

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B The formula x = p + xp22p + 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. B

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B Solve s = 2πr(r + h) for h and indicate any restrictions on the values of the variables. B

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B Solve n = aq(q  r) for q and indicate any restrictions on the values of the variables. B

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B Use the properties of equality to solve the equation 7y  6 = 29. B

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B Solve the equation 3(13z + 14) = 6z + 18 using the properties of equality. B

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B Tell what you would first do to solve the equation 7l + 83 = 8q  6t for l. B

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B Write the first step to solve the equation: 7c(5i + 6x7 ) = 29 for x. Do not solve the equation. B

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B What will be your first step to solve the equation 9m  10t = 4c3d , for m ? B

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B Solve 6ak + 8i = 2d for k and indicate any restrictions on the values of the variables. B

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B Solve the equation 6d3a7v = 10h for v, and indicate any restrictions on the values of the variables. B

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B Solve the formula V = 13π r^{2} h for the variable h. Indicate any restrictions on the values of the variables. B

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B Solve the formula v = u + at for a. Indicate any restrictions on the values of the variables. B

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B Write the first step to solve the equation 115(4 + 5i) = 2g for i. B

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B Solve 3d(12jz + 11g) = 2a(vz + 9) for z and indicate any restrictions on the values of the variables. B

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B 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? B

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B The volume of a sphere is given by the formula V = 43πr3. Find the radius of a sphere whose volume is 1417 m3? B

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B 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.) B

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B Solve 5n + 7g = 12bi for n and indicate any restrictions on the values of the variables. B

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B The formula x = p + xp22p + 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. B

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