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Warm Up

Warm Up. In the expression , and are _____________ terms. Simplify . Solve Solve Which value is a solution to the equation ?. Lesson 28: Solving Equations with Variables on Both Sides. Expressions and Equations. Solving Equations. To solve equations, we can follow these steps:

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Warm Up

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  1. Warm Up • In the expression , and are _____________ terms. • Simplify . • Solve • Solve • Which value is a solution to the equation ?

  2. Lesson 28: Solving Equations with Variables on Both Sides Expressions and Equations

  3. Solving Equations • To solve equations, we can follow these steps: • Distribute (if necessary) • Combine like terms (if necessary) • Apply inverse operations to isolate the variable.

  4. No solution and infinitely many solutions • If there is no value of a variable that makes an equation true, then the equation has no solution. • For equations with no solution, we will end up with an equality that is not true like or something similar. • An identity is an equation that is always true. • These equations have infinitely many solutions. • For equations with infinitely many solutions, we end up with an equality that is true such as or something similar.

  5. Example

  6. Example

  7. Example

  8. Example • Hot Digits phone company charges $18.95 per month for local calls and $0.04 per minute for long distance calls. Cool Callin’ phone company charges $21.95 per month for local calls and $0.02 per minute for long distance calls. For what number of minutes of long distance calls per month is the cost of the plans the same?

  9. Homework Questions

  10. Correcting Homework • Be kind. • Write “C.B. ___________” with your name. • If the paper in front of you has more than 3 boxes empty, return it to its owner. • Hold questions until the end.

  11. Homework • 1st and 2nd hour: Lesson 28 #1-30 • 3rd hour: Lesson 27 #16-30

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