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
2.5: Solving Equations with a Variable on Each Side Ex. 1: Solve the following equations. Check your solutions. 1.) 2(2x + 4) = 16 2.) – 3(3x – 4) + 2x = 21 – 7 3.) 4(x – 3) + 3x – 7 = 2 4.) 2(4x – 3) – 3(x + 4) = 4 How to Solve Equations with a variable on both sides: Steps: 1. Use the ______________________ to remove grouping symbols. 2. ___________ the expressions on each side of the equals sign 3. Use subtraction/ addition to get the _________ on the ____side of the equal sign and the _________________________ on the ________side. 4. Combine _______________ (simplify) on each side 5. Isolate the ______________ to solve a. If the solution results in a ________ statement, there is _____ solution: b. If the solution results in an __________, the solution is ______ numbers Ex. 2: Simplify the expressions 5.) -2 + 10p = 8p – 1 1 7.) 4(2r 8) (49r 70) 7 6.) 2x + 4 = 6x – 12 8.) 2(3x – 8) = 10x + 4 Ex. 3: Special scenario. Solve the following equations. Check your solutions. 9.) 7 – 3r = r – 4(2 + r) 10.) 5h – 7 = 5(h – 2) + 3 11.) 2m + 5 = 5(m – 7) – 3m 12.) 3(k + 1) – 5 = 3k – 2