Solving Linear Equations with a variable on only one side of the equation
Basic Goal : Isolate the variable on one side using INVERSE operations. ◦ UNDO any Addition or Subtraction first to isolate the variable term. ◦ UNDO any Multiplication or Division second to isolate the variable. Solve: 1) 2x + 4 = -402) -18 = 4 – 3n
3) -2w + 4 = -84)15 = 7x + 1 5) 2.3x – 9.34 = 6.3 6) 15 = 6x – 3 + 3x
7) 3(x – 2) = 12 8) 3y – (y + 5) = 9 9) 5(3x + 1)- 12x = -2
Hint: clear fractions by multiplying each term by the LCD! 10) x + 2 = ) 1 x + 4 = 7 2 8
12) 12 = 4d – ) M – 6 = ) 1 (x – 7) = -7 3