Solving Equations with Variables on both sides



Solving Equations with Variables on both sides

Objectives: The students will be able to…

solve equations with variables on both sides

identify equations that are identities or have no solution

How do we solve this equation?

6x + 3 = -21

What do you think would be our first step to solve this equation?

6x + 3 = 8x – 21

|Using inverse operations |

|move all variables to one side and numbers to the opposite |

Examples:

|6x + 3 = 8x – 2 |Move variable |

| | |

| |2. move numbers |

|6x – 2 = x + 13 |move variables |

| |move numbers |

| | |

| | |

| | |

|3 – 2t = 7t + 4 | |

| | |

| | |

|8 – 4x = 6x – 2 |-4h + 5 = h |

| | |

Identity: when equations are equal. Whatever number you choose for the variable: the equations are always true

Examples:

|10 – 8a = 2(5 – 4a) | |

| | |

|9 + 5x = 7x + 9 – 2x | |

No Solution: When equations cannot be true. Equations are not equal

|6m – 5 = 7m + 7 –m |9 + 5n = 5n – 1 |

| | |

| | |

|As soon as you recognize Identity or No Solution: STOP and answer |

|Identity (ID) or No Solution (NS) |

Identity or No Solution?

2(3x – 6) = 2(3x – 4)

6p + 3 = 3(2p + 1)

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download