Download presentation

Published byTianna Kenton Modified over 3 years ago

1
**MCC8.EE.7 a and b: Solving Equations with Variables on Both Sides.**

Follow the Equation Ladder. Simplify both sides of the equation using the distributive property and/or combining like terms. Add/subtract to get rid of the variables on one side of the equation (think positive). Add/subtract to get constants alone on the other side. Multiply/divide so the variable has a coefficient of 1.

2
**Equations w/ Variables on Both Sides**

Linear equations can have - exactly one solution. (We’ve seen this) - no solution. (We haven’t seen this.) - infinitely many solutions. (Or this.) No solution and infinitely many solutions occur when the variable “falls out” of the equation you are trying to solve.

3
**Equations w/ Variables on Both Sides**

If the equation has no solution, when the variable falls out, the statement left behind is obviously false, like 4 = 7. Say, “no solution.” If the equation has infinitely many solutions, when the variable falls out, the statement left behind is obviously true, (your book calls this an identity) like 5 = 5 or 0 = 0. Say, “infinitely many solutions” or just “many solutions.”

4
**Equations w/ Variables on Both Sides**

Example: 6(x + 4) = 4x + 2x – 12 < --Distribute on the left, combine like terms on the right. 6x + 24 = 6x – 12 –6x <-- Subtract 6x on each side. 24 – 12 = Obviously false, so equation has no solution.

5
**Equations w/ Variables on Both Sides**

Example: 3(x + 4) = 4 + 3x + 8 < --Distribute on the left, combine like terms on the right. 3x + 12 = 3x + 12 –3x <-- Subtract 3x on each side. 12 = Obviously true, so this equation has infinitely many solution.

Similar presentations

OK

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on non agricultural activities and pollution Mp ppt online registration 2013 Ppt on asymptotic notation of algorithms in c Ppt on event management company Ppt on two point perspective letters Ppt on central limit theorem applet Ppt on protein energy malnutrition with its management Ppt on sea level rise maps Ppt on 4g wireless network Training ppt on communication skills