Multi-Step Equations

Created 2 years ago

Duration 0:29:48
444
Slide Content
1. Slide 1 - Multi-Step Equations

• Two-Step Equations | Distributive Property | Multi-Step Equations
2. 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
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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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3. Slide 3 - Two-Step Equations with Integers

• To solve two-step equations, use “opposite order of operations”
• Use PEMDAS backwards  “SADMEP”
4. 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
5. 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. 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)
7. 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
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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
8. 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. 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. Slide 15 - Multi-Step with Distributive property

• STEPS:
• Simplify (distribute and collect like terms)