Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
© Mr. Sims Algebra 1 Section 3.2 Solving Equations Using Two or More Transformations To solve an equation involving two or more steps: Remember: your main goal in life, at this point, is to get the x (variable) to one side and by itself, while clearing away everything else to the other side. {Always keep in mind: whatever you do to one side, you have to do to the other side.} 3x + 2 = 8 -2 -2 subtract 2 from both sides 3x = 6 x=2 divide both sides by 3 1 + 6 = -8 3x -6 -6 subtract 6 from both sides 1 = -14 3x x = - 42 multiply both sides by 3 © Mr. Sims 7x – 3x – 8 = 24 4x – 8 = 24 +8 combine like terms +8 add 8 to both sides 4x = 32 x=8 divide by 4 5x + 3(x + 4) = 28 5x + 3x + 12 = 28 8x + 12 = 28 -12 -12 8x = 16 x=2 18 – (x + 2) = 21 18 – x – 2 = 21 -x + 16 = 21 distributive property combine like terms subtract 12 from both sides divide by 8 take the negative of everything in parentheses combine like terms -16 -16 subtract 16 from both sides -x = 5 x = -5 divide both sides by -1 © Mr. Sims Solve each equation. 1. 3x – 7 = 23 +7 +7 add 7 to both sides 3x = 30 x = 10 divide both sides by 3 3. 6 = 14 – 2x -14 -14 subtract 14 from both sides -8 = -2x x = 4 divide both sides by -2 2. 1 + 2 = 3 4x -2 -2 1 = 1 4x x=4 subtract 2 from both sides multiply both sides by 4 4. - 4 + 4 = -6 5x +4 +4 add 4 to both sides 4 = -2 5x x = -2 ½ multiply both sides by 5/4 © Mr. Sims 5. 4x + 5 = -3 3 -5 -5 subtract 5 from both sides 6. 4x – 3x = 9 x = 9 combine like terms 4x = -8 3 x=-6 multiply both sides by ¾ 7. x + 5x – 5 = 1 6x – 5 = 1 combine like terms +5 +5 add 5 to both sides 6x = 6 x=1 divide both sides by 6 8. -2 = 2x - x 3 -2 = 2x - 3x 3 3 common denominator -2 = -x 3 x=6 combine like terms multiply both sides by -3 © Mr. Sims 9. 3(x – 2) = 18 10. 19 = 2(x + 1) – x 3x – 6 = 18 distributive property 19 = 2x + 2 – x distributive property +6 +6 add 6 to both sides 19 = x + 2 combine like terms 3x = 24 -2 -2 subtract 2 from both sides x = 8 divide both sides by 3 x = 17 11. 3x + 3 (2x – 1) = 2 12. 9 (x + 3) = 27 2 2 3x + 3x – 3/2 = 2 distributive property 9 + 27 = 27 6x – 3/2 = 2 combine like terms 2x 2 +3/2 +3/2 add 3/2 to both sides 6x = 7/2 x = 7/12 divide by 6 {multiply by 1/6} -27/2 distributive prop. -27/2 9 = 27 2x 2 x=3 multiply both sides by 2/9 © Mr. Sims 13. The bill (parts and labor) for the repair of an automobile was $357. The cost for parts was $285. The cost of labor was $32 an hour. Let x represent the number of hours of labor. Write an equation involving x and solve the equation to find the number of hours of labor. labor/hr hours of labor + parts = total $32 x + $285 = $357 32x + 285 = 357 -285 -285 32x = 72 x = 2 ¼ hours © Mr. Sims Solve each equation. 1.) 2x + 5 = 9 4.) 3x 1 1 2 7.) 3x – 7 + x = 5 10.) 6 12.) 3 1 x (x 4) 2 2 2 x 1 3 2.) 1 x 1 1 2 3.) 9 5.) 16 2 2x 5 6.) - 6x + 4x = 2 8.) 10 1 xx 2 Algebra 1 Section 3.2 Assignment 9.) 12(2 – x) = 6 11.) 55x – 3(9x + 12) = - 64 4 (2x 4) 48 9 © Mr. Sims Any rebroadcast, reproduction, or other use of the pictures and materials from this site and presentations, without the express written consent of Mr. Sims, is prohibited. © Mr. Sims. All rights reserved. © Mr. Sims