1 / 12

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.

joey
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related