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Published byLeonard Welch Modified over 8 years ago
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Solving Literal Equations When solving for a variable, you must isolate the variable. Think about opposites, how do you undo addition? Subtraction? Multiplication? Division?
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Isolating the Variable 1.Take care of all the addition and subtraction signs first. 2.Then remove all of the division or multiplication pieces.
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Example 1: y = mx + b, Solve for m. y = m x + b y = m x + b y – b = m x + b - b y – b = m x x x m = y - b x Subtract b from both sides. Divide by x on both sides. Solve for m.
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Example 2: V = lwh, Solve for h. V = lwh V = lwh Divide by lw on both sides. V = lwh lw lw h = V lw Make sure h is by itself.
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Example 3: P = 2L + 2W, Solve for L. P = 2L + 2w P = 2L + 2wSolve for L. Subtract 2w from both sides. P -2w = 2L + 2w -2w Divide by 2 on both sides. p – 2w = 2L 2 2 Make sure L is by itself. L = p-2w 2
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Class work: Class work: You try these: 1.V f = V i + at, Solve for t. 2.A = ½h (b 1 + b 2 ), Solve for h. 3.F = 9/5 C + 32, Solve for C.
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Summary: Why is it important to be able to solve for a specific variable within a formula?
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