Multi-Step Equations

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Multi-Step Equations

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  1. Multi-Step Equations

    Slide 1 - Multi-Step Equations

    • Two-Step Equations | Distributive Property | Multi-Step Equations
  2. PART 1: Mixed Two-Step Equations

    Slide 2 - PART 1: Mixed Two-Step Equations

    • Solve two-step equations involving integers
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    • Solve two-step equations involving positive fractions
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    • Solve two-step equations involving positive decimals
    • 0 1 2
    • Check your work by substituting the solution into the original equations
    • 0 1 2
    • Solve math operations neatly, completely & accurately
    • 0 1 2 3
  3. Two-Step Equations with Integers

    Slide 3 - Two-Step Equations with Integers

    • To solve two-step equations, use “opposite order of operations”
    • Use PEMDAS backwards  “SADMEP”
    • Check your work!
  4. Two-Step with Decimals

    Slide 5 - Two-Step with Decimals

    • TIPS for solving equations with decimals:
    • Do your “small work” off to the side if it involves multiple steps
    • Check your work!
  5. A note about fractions

    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”
  6. Two-Step with Fractions

    Slide 8 - Two-Step 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!
  7. Part 2: Distributive Prop. & Multi-Steps

    Slide 10 - Part 2: Distributive Prop. & Multi-Steps

    •   Simplify an expression using the distributive property
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    •   Simplify a multi-step equation by collecting like terms
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    •   Solve a whole number multi-step equations using the distributive property
    • 0 1 2
    •   Check your work by substituting the solution into the original equations
    • 0 1 2
    •   Solve math operations neatly, completely & accurately
    • 0 1 2 3
  8. Collecting like terms

    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.
  9. The distributive property

    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
  10. Multi-Step with Distributive property

    Slide 15 - Multi-Step with Distributive property

    • STEPS:
    • Simplify (distribute and collect like terms)
    • SADMEP
    • Check your work