Solving Linear Equations

Solving Linear Equations

Mr. Gregg - Math 8

​Operations

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​INVERSE OPERATIONS

​OPERATIONS THAT ARE OPPOSITE OF EACH OTHER

- they undo each other.

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​EXAMPLE:

​5 + 2 = 7 but then 7 - 2 = 5

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​10 x 3 = 30 but then 30 / 3 = 10

Multiple Choice

What is the opposite or Inverse Operation of Division?

• Adding

• Subtracting

• Multiplying

• Square Root

Multiple Choice

What operation would you use to solve this equation:

5 + y = 12

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply 5 from both sides

• Divide both sides by 5

Multiple Choice

Solve the equation how you think you would:

3x = 45

• x = 10

• x = 15

• x = 20

• x = 25

​Distributive Property

​Multiplying to a whole expression inside parenthesis!!

​

​EVERYTHING INSIDE THE PARENTHESIS GETS MULTIPLIED!

Multiple Choice

What is the ONLY OPERATION you use when you distribute?

• add

• subtract

• multiply

• divide

Multiple Choice

What tells you that you need to distribute?

• a number next to parenthesis around an expression

  5 (x + 2)

• if you see a letter

  y + 5

• if you see multiplication

  4x

• if you see parenthesis

  (3 - 2) + 10 x 6

Multiple Choice

What number do you think is outside the parenthesis?

- (7 - 3y)

• 0

• 1

• -1

• there isn't a number

Multiple Choice

Simplify:

5 (a + 8)

• 5a

• 5a + 8

• 5a + 40

• 5 + a + 8

​COMBINING LIKE TERMS

​Solving or Simplifiying

​Solving EQUATIONS Simplify EXPRESSIONS