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Warm Up Solve each equation for the variable. 1. 5 + x = –2 2. 8 m = 43 3.

Warm Up Solve each equation for the variable. 1. 5 + x = –2 2. 8 m = 43 3. 4. 10 k – 6 = 9 k + 2. –7. 19. 3. 8. 2-5. Solving for a Variable. Fold your paper lengthwise to take Cornell Notes. Holt Algebra 1. Objectives. Solve a formula for a given variable.

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Warm Up Solve each equation for the variable. 1. 5 + x = –2 2. 8 m = 43 3.

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  1. Warm Up Solve each equation for the variable. 1. 5 + x = –2 2. 8m = 43 3. 4. 10k – 6 = 9k + 2 –7 19 3 8

  2. 2-5 Solving for a Variable Fold your paper lengthwise to take Cornell Notes Holt Algebra 1

  3. Objectives Solve a formula for a given variable. Solve an equation in two or more variables for one of the variables.

  4. A formula is an equation that states a rule for a relationship among quantities. In the formula d = rt, d is isolated. You can "rearrange" a formula to isolate any variable by using inverse operations. This is called solving for a variable.

  5. Check It Out! Example 1 You are familiar with the formula d= rt . Solve the formula d = rt for t. d = rt Locate t in the equation. Since t is multiplied by r, divide both sides by r to undo the multiplication.

  6. f = i – gt + gt +gt Check It Out! Example 2 The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for i. f = i – gt Locate i in the equation. Since gt is subtracted from i, add gt to both sides to undo the subtraction. f + gt = i

  7. Solve for V Check It Out! Example 3b Locate V in the equation. Since m is divided by V, multiply both sides by V to undo the division. VD = m Since V is multiplied by D, divide both sides by D to undo the multiplication.

  8. Euler’s formula, V – E + F = 2, relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. Solve Euler’s formula for F. F = 2 – V + E

  9. –y –y x = –y + 15 Example 3: Solving Literal Equations A. Solve x + y = 15 for x. x + y = 15 Locate x in the equation. Since y is added to x, subtract y from both sides to undo the addition. B. Solve pq = x for q. pq = x Locate q in the equation. Since q is multiplied by p, divide both sides by p to undo the multiplication.

  10. Check It Out! Example 3a Solve 5 – b = 2t for t. 5 – b = 2t Locate t in the equation. Since t is multiplied by 2, divide both sides by 2 to undo the multiplication.

  11. You Try… Solve for the indicated variable. 1. 2. 3. 2x + 7y = 14 for y 4. for h P = R – C for C C = R – P for m m = x(k – 6) 5. for C C = Rt + S

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