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Transcript

Halloween List

List of Equation Types

One Step Equation

Press each number to explore what the first step is for each equation type.

2

4

Absolute Value

5

Isolating the Absolute Value

Equations that use ONE operation.

6

Equations with Isolated Absolute Values

Equations that require you to Isolate the Absolute Value

1

Two Step Equation

Equations that use TWO operations

Distributive Property

3

Equations that use parenthesis.

2

1

Combining Like Terms

Equations with multiple like terms.

4

1

Equations that use ONE operation.

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What is the first step?

One Step Equation

One Step Equations can be solved by simply "un-doing" the operation or performing the inverse operation to BOTH sides.

Subtract 4 from each side.

Add 5 to each side.

Multiply each side by -3.

Divide each side by -6.

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2

Equations that use TWO operations

What is the first step?

Two Step Equation

Two Step Equations require you to "un-do" addition or subtraction THEN "undo" multiplication or division.

Add 7 to each side.

Subtract 5 from each side.

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3

Distributive Property

Equations that use parenthesis.

What is the first step?

If an equation has parenthesis use the distributive property.a(b+c) = ab + ac

Distribute the 1/3. 1/3(x - 8) = 1/3x - 8/3.

Distribute the -6. -6(2x + 3) = -12x -18.

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4

Combining Like Terms

Equations with multiple like terms.

What is the first step?

If an equation has like terms, first combine them.Be careful with negatives and subtraction signs.

Combine like terms. 5x + 4x + 3 + 6 = 18 The equation should read: 9x + 9 = 18.

Combine like terms. 6x - 6 - 2x - 11 = -17. The equation should read: 4x - 17 = -17.

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5

Absolute Value

Equations with Isolated Absolute Values

What is the first step?

What is the first step?

If the Absolute value is already isolated or is the ONLY part on one side, then create two equations - a positive and a negative.

|x| = 10 Create two equations. x = 10 and x = -10.

|x - 4| = 6 Create two equations. x - 4 = 6 and x - 4 = -6.

|2x - 5| = |3x| Create two equations. 2x - 5 = 3x and 2x - 5 = -3x.

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6

Isolating the Absolute Value

Equations that require you to Isolate the Absolute Value

What is the first step?

If the absolute value is not isolated, isolate it. Undo addition or subtraction OR undo multiplication or division.

Isolate the absolute value by adding 10 to each side.

Isolate the absolute value by dividing each side by 3.