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Rewriting Formulas

Rewriting Formulas. 7L: rearrange formulas to highlight a quantity of interest.

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Rewriting Formulas

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  1. Rewriting Formulas 7L: rearrange formulas to highlight a quantity of interest

  2. So far we have studied equations that look like 2x+4=9 and 5x+17=32. Notice that both of these equations have the general form of ax+b=c. The equation ax+b=c is called a literal equation because all of the coefficients have been replaced with letters.

  3. Solve the following equation for x. Now solve this literal equation for x. ax + b = c - b -b ax = c – b ax= c – b a a x = c – b a • 3x + 8 = 20 -8 -8 3x = 12 3x = 12 3 3 x = 4

  4. Solve the following literal equations for x. • a – bx = c

  5. Solve the following literal equation twice. Solve it first for y. Now solve it for x. 4x + 3y = 12 You have written x as a function of y. • 4x + 3y = 12 You have written y as a function of x.

  6. Here’s a tricky one! Solve 3ax - b = d - 4cx for x. Key Step: Factor out the GCF of x. 3ax - b = d - 4cx +4cx +4cx 3ax - b + 4cx = d +b +b 3ax + 4cx = d + b x(3a + 4c)= d + b (3a + 4c) (3a + 4c) x = d + b (3a + 4c)

  7. Tonight’s HW • Worksheet (1.6 Exercises) #3-10, 12, 14, 17, 20, 21 • Worksheet (Practice Using Formulas & Literal Equations) EVENS!!!!

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