Review 5/17/21 Solving multi- step equations Lesson

8 Slides • 5 Questions

1

Review 5/17/21 Solving multi- step equations

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Topics to Review

Distributive Property
Combining Like Terms
Solving Two-Step Equations
Solving One-Step Equations

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Distributive Property

4

Multiple Choice

$Simplify:\ \ -3\left(2x\ -\ 5\right)$

1

$9x$

2

$-6x\ +\ 15$

3

$-6x\ -5$

4

$-6x-15$

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Combining Like Terms

Like terms have the same variable parts.

All constants are like terms.

Only like terms can be combined by addition or subtraction.

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Multiple Choice

$Simplify:\ 4x\ -\ 7\ -5x\ +3x$

1

$2x\ -\ 7$

2

$-5x$

3

$-12x\ -7$

4

$-4x-7$

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Multiple Choice

Simplify:\ 5\left(3x\ -\ 1\right)\ -8+x

1

$20x-45$

2

$11x-8$

3

$16x-9$

4

$16x-13$

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Special Cases of Linear Equations

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Rules for Solving Multi-Step Equations

Distribute if you have any distributive property
Combine Like Terms on the SAME SIDE of the equation
Get the variable terms together on one side of the equation
Get the constants together on the opposite side of the equation
Solve the resulting one-step equation using multiplication or division
CHECK YOUR SOLUTION!!!!

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Special Case for Equations (No Solution)

If the variables drop out and you are left with a false statement, then the equation has NO SOLUTION!

ex. If you solve the equation and all that is left is -2 = 6 would mean the equation has no solution.

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Special Case for Equations (Infinite Solutions)

If the variables drop out and you are left with a TRUE statement, then the equation has INFINITE SOLUTIONS!

ex. If you solve the equation and all that is left is 6 = 6 would mean the equation has infinite solutions.

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Multiple Choice

$Solve:\ 3x\ -9\ =2x\ +6\ +\ x$

1

No Solution

2

Infinite Solutions

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Multiple Choice

$Solve:\ -\left(4-y\right)\ =y\ -5+1$

1

No Solution

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Infinite Solutions

Review 5/17/21 Solving multi- step equations

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