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DO NOW:

DO NOW:. Solve the equation 10x – 14 = 6 12x + 2 = 9x +14 Evaluate the expression for m = -5 18m - 25. 1-4 Rewriting Equations and Formulas. OBJECTIVE: To rewrite equations with more than one variable. Example 1: . Solve 9y + 4x = 7 for y Solution

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  1. DO NOW: • Solve the equation • 10x – 14 = 6 • 12x + 2 = 9x +14 • Evaluate the expression for m = -5 • 18m - 25

  2. 1-4 Rewriting Equations and Formulas OBJECTIVE: To rewrite equations with more than one variable

  3. Example 1: • Solve 9y + 4x = 7 for y • Solution 9y + 4x = 7 Write the original equation -4x -4x Subtract 4x from each side 9y = 7 – 4x 9y = 7-4x Divide each side by 9 9 9 y = 7/9 – 4/9

  4. Example 2: • Given the equation xy + 3x = 2, find the value of y when X = 2 and x = -2 Solution: xy + 3x = 2 Write the original equation xy = 2-3x Subtract 3x from each side. y = 2-3x divide each side by x. x When x = 2: When x = -2 Y = 2 – 3 (2) = -2 y = 2 – 3(-2) = -4 (2) (-2)

  5. Checkpoint: Solve the equation for y. Then find the value of y for the given value of x. • 1. 2y – 2x = 6, x = 4 2. 3xy + x = 5, x =2

  6. DO NOW: • Given the equation xy + 2x = 4, find the value of y when x = 1 and when x = -2

  7. Day 2: Common Formulas

  8. Common Formulas Formula Variables Simple Interest I = Prt I = interest P = principal r = rate, t = times Temperature F = 9 C + 32 F = degrees, Fahrenheit 5 C = degrees, Celsius Distance d= rt d = distance r = rate, t = time Area of a Triangle A = 1bh A = area, b = base 2 h = height Area of a Rectangle A = lw A = area, l = length, w = width Perimeter of a Rectangle P = 2l + 2w P = perimeter, l = length w = width

  9. Common Formulas continued Area of a trapezoid A = 1 (b1 + b2) h A= area, b1 = one base 2 b2 = other base, h = height Area of a Circle A = πr2 A = area, r = radius Circumference C = 2πr C= circumference, r = radius

  10. Example 4 • Solve F = 9C + 32 for C 5 F = 9C + 32 Write the original equation 5 F – 32 = 9 C Subtract 32 from each side 5 5(F – 32) = C Multiply each side by 5 9 9.

  11. Checkpoint • 4. Solve I = Prt for t 5. Solve A = 1 (b1 + b2) h for h 2

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