100 likes | 219 Views
3.3 Using the Properties Together. Goals: To solve equation by using the addition and multiplication properties To solve equation by collecting like terms. Steps to Solving Tonight’s Equations. If you see like terms on the same side of the equation collect them
E N D
3.3 Using the Properties Together Goals: • To solve equation by using the addition and multiplication properties • To solve equation by collecting like terms
Steps to Solving Tonight’s Equations • If you see like terms on the same side of the equation collect them • Add or Sub using APE to both sides • Multiply or Divide using MPE to both sides
3x + 4 = 13 2-step equations: Always do the add/subtract step before multiplying by the inverse of the coefficient.
3 3 Solve: 3x + 4 = 13 3x + 4 = 13 - 4- 4 3x = 9 x = 3
5 5 5x + 11 = 31 5x + 11 = 31 - 11- 11 5x = 20 x = 4
-5 -5 -5x + 6 = 21 -5x + 6 = 21 - 6- 6 -5x = 15 x = -3
If there are like terms on one side of the equation, collect them before using the properties 6x + 2x = 16 8x = 16 x = 2
5 5 9x - 4x = 20 5x = 20
9x + 3x – 5 = 19 +5 +5 12x – 5 = 19 12x = 24 x = 2