MultiStep Equations

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Slide 1  MultiStep Equations
 TwoStep Equations  Distributive Property  MultiStep Equations

Slide 2  PART 1: Mixed TwoStep Equations
 Solve twostep equations involving integers
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 Solve twostep equations involving positive fractions
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 Solve twostep equations involving positive decimals
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 Check your work by substituting the solution into the original equations
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 Solve math operations neatly, completely & accurately
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Slide 3  TwoStep Equations with Integers
 To solve twostep equations, use “opposite order of operations”
 Use PEMDAS backwards “SADMEP”
 Check your work!

Slide 5  TwoStep with Decimals
 TIPS for solving equations with decimals:
 Do your “small work” off to the side if it involves multiple steps
 Check your work!

Slide 7  A note about fractions
 A fraction of a variable can be written two ways:
 is the same as
 Both of these are “one half x” or “one half of a number”

Slide 8  TwoStep with Fractions
 TIPS for solving equations with fractions:
 It is now okay to use only improper fractions
 I find it easier to rewrite my equation so that the fractions are separated from the variable
 To clear a fraction from a variable, multiply both sides by the inverse (flip it)
 Check your work!

Slide 10  Part 2: Distributive Prop. & MultiSteps
 Simplify an expression using the distributive property
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 Simplify a multistep equation by collecting like terms
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 Solve a whole number multistep equations using the distributive property
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 Check your work by substituting the solution into the original equations
 0 1 2
 Solve math operations neatly, completely & accurately
 0 1 2 3

Slide 11  Collecting like terms
 When two terms have the same variable, we call them “like terms”. These can be collected together to simplify an equation before solving it.
 Constants (numbers without variables) are also considered a like term.

Slide 13  The distributive property
 “Each with every”: multiply each number directly outside the parenthesis with each number inside the parenthesis. This is considered simplifying and should happen before you start to solve (SADMEP).
 TIP: be mindful of the sign of each number

Slide 15  MultiStep with Distributive property
 STEPS:
 Simplify (distribute and collect like terms)
 SADMEP
 Check your work