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Solving for One Variable in Terms of Another Variable

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Solve the equation for b. A = bh Which variable am I solving for? A = bh Which variable am I solving for? h h Divide by h on both sides. h h Divide by h on both sides. A = b Solved for b. h A = b Solved for b. h

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Solve the equation for h. A = bh Which variable am I solving for? A = bh Which variable am I solving for? b b Divide by b on both sides. b b Divide by b on both sides. A = h Solved for h. b A = h Solved for h. b

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Solve the equation for h. V = lwh Which variable am I solving for? V = lwh Which variable am I solving for? lw lw Divide by lw on both sides. lw lw Divide by lw on both sides. V = h Solved for h. lw V = h Solved for h. lw

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Solve the equation for w. V = lwh Which variable am I solving for? V = lwh Which variable am I solving for? lh lh Divide by lh on both sides. lh lh Divide by lh on both sides. V = w Solved for w. lh V = w Solved for w. lh

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Solve the equation for. A = r 2 Which variable am I solving for? A = r 2 Which variable am I solving for? r 2 r 2 Divide by r 2 on both sides. r 2 r 2 Divide by r 2 on both sides. A = Solved for. r 2 A = Solved for. r 2

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Solve the equation for w. P = 2l + 2w Which variable am I solving for? P = 2l + 2w Which variable am I solving for? -2l -2l Subtract 2l from both sides. -2l -2l Subtract 2l from both sides. P – 2l = 2w Cant combine P and -2l P – 2l = 2w Cant combine P and -2l 2 2 Divide both sides by Divide both sides by 2. P – 2l = w Solved for w. 2 P – 2l = w Solved for w. 2

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Solve the equation for h. A = bh Which variable am I solving for? A = bh Which variable am I solving for? b b Divide by b on both sides. b b Divide by b on both sides. A = h Multiply both sides by 2. b A = h Multiply both sides by 2. b (2) A = h(2) Multiply both sides by 2. b (2) A = h(2) Multiply both sides by 2. b 2A = h Solved for h. b 2A = h Solved for h. b

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Solve the equation for. V = r 2 h Which variable am I solving for? V = r 2 h Which variable am I solving for? r 2 h r 2 h Divide by r 2 h on both sides. r 2 h r 2 h Divide by r 2 h on both sides. V = Solved for. r 2 h V = Solved for. r 2 h

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Solve the equation for z. x + y + z = P Which variable am I solving for? x + y + z = P Which variable am I solving for? -x -y -x -y Subtract x and y from both sides. -x -y -x -y Subtract x and y from both sides. z = P – x – y Cant combine P, -x and -y z = P – x – y Cant combine P, -x and -y z = P – x – y Solved for z. z = P – x – y Solved for z.

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Solve the equation for n. - l= m Which variable am I solving for? - l= m Which variable am I solving for? +l +l Add l to both sides. +l +l Add l to both sides. = m + l Cant combine m and l = m + l Cant combine m and l (k) = k(m + l) Multiply both sides by k. (k) = k(m + l) Multiply both sides by k. n = km + kl Solved for n. n = km + kl Solved for n.

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Solve the equation for y in terms of x. 5x + 6y = 24 Which variable am I solving for? 5x + 6y = 24 Which variable am I solving for? -5x -5x Subtract 5x from both sides. -5x -5x Subtract 5x from both sides. 6y = -5x + 24 Cant combine -5x and 24 6y = -5x + 24 Cant combine -5x and Divide by Divide by 6. y = - x + 4 Solved for y. y = - x + 4 Solved for y.

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