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### Grade 6 - Mathematics12.11 Linear Equations - 2

 Examples: 2x + 8 = 14 Then x = ? 2x + 8 = 14 subtracting 8 from both sides 2x + 8 - 8 = 14 - 8 2x = 6 Dividing both sides by 2 2x/2 = 6/2 x = 3 6y - 15 = 2y + 9 Then y = ? 6y - 15 = 2y + 9 subtracting 2y from both sides 6y - 15 - 2y = 2y + 9 - 2y 4y - 15 = 9 Adding 15 both sides 4y - 15 + 15 = 9 + 15 4y = 24 dividing both sides by 4 4y/4 = 24/4 y = 6 4(s + 1) = -2(4 - s) distributive property Note: Negative number multiplied by a negative number is positive. -2 x -s = 2s 4s + 4 = -8 + 2s subtracting 2s both sides 4s + 4 - 2s= -8 + 2s - 2s 2s + 4 = -8 subtracting 4 both sides 2s + 4 - 4 = -8 - 4 2s = - 12 dividing both sides by 2 2s/2 = - 12/2 s = -6 2/x = 3/6 x/2 = 6/3 x/2 = 2 x = 4 t/6 + 2 = t/3 This equation contains fractions so multiply both sides by the LCD of 6 and 3 that is 6 6(t/6 + 2) = 6(t/3) t + 12 = 2t subtracting t from both sides t + 12 - t = 2t - t 12 = t Therefore, t = 12 Directions: Solve for the variables. Also write at least 10 examples of your own.
 Q 1: 1.5x = 30 then x = ?242220 Q 2: (-2x) = 20 then x = ?2010-10 Q 3: 2(x+5) - 3(x-6) = 207810 Q 4: x/2 = 40 then x= ?426080 Q 5: 2x/0.2 = - 0.8 then x=?0.08-0.08-0.8 Q 6: (-x/2) = -10212220 Q 7: (-x/3) = 24 then x = ?-72-21-54 Q 8: 5(y-1) - 2(y+6) = 2y + 12 then y = ?272529 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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