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DRILL. 1) 2) If tom has $8.00 in his wallet and then adds $3.00 a day after how many days will he have $41.00? 3) Write an equation to represent the total cost of a “d” day membership at a gym whose initial cost is $80 and charges $5.00 a day. DRILL (Answers). 4 (33) = 6x 132 = 6x
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DRILL 1) 2) If tom has $8.00 in his wallet and then adds $3.00 a day after how many days will he have $41.00? 3) Write an equation to represent the total cost of a “d” day membership at a gym whose initial cost is $80 and charges $5.00 a day.
DRILL (Answers) • 4 (33) = 6x 132 = 6x 22 = x 2) 8 + 3x = 41 -8 -8 3x = 33 x = 11 3) C = 80 + 5d
Literal Equations • To solve a literal equation you simply have to isolate (get by itself) the variable you are trying to solve for, by using opposite operations. • You will NOT get a numerical value: Ex: x = 2y – 4 a = b + c – 3d
Examples • Solve the equation for A: A + B = C 2) Solve the equation for X: XY – W = Z 3) Solve the equation for G: G + F = T S
Examples (Solutions) • Solve the equation for A: A + B = C, A = C – B 2) Solve the equation for X: XY – W = Z, X = Z + W Y 3) Solve the equation for G: G + F = T G = TS – F S
Solve for b. Original equation Subtract 12c from each side. Simplify. Divide each side by 5. Examples
Simplify. or Answer:The value of b is .
Self Practice Solve for y. Answer:The value of y is .
Fuel Economy A car’s fuel economy E (miles pergallon) is given by the formula , where m isthe number of miles driven and g is the number ofgallons of fuel used. Solve the formula for m. Formula for fuel economy. Multiply each side by g. Answer: Simplify.
Example (solve for “hot dog”) + = = –
= – – =
Examples • 3x + y = z, solve for x • A + B – C = D, solve for B • 4xy = w, solve for y • 10 + 2m = d, solve for m