Unit 2 Concepts Review
HS Math
Created on October 1, 2024
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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.
Return to Halloween List
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.