• Unit 1
Solving Equations

REVIEW OF SOLVING EQUATIONS

Integer Rules (*Print the Integers Rules bookmark here: Integer Bookmark)

·        Positive + Positive = Positive

·        Negative + Negative = Negative

·        Negative + Positive- Use the sign of the larger # and subtract

Subtracting:

·        “Keep, change, change”

Multiplying and Dividing:

·        When both signs are the same, the answer is positive

·        When the signs are different, the answer is negative

Two-Step Equations

How to solve a two-step equation:

·        Decide what to remove to get you closer to x = . . .

·        Remove it by doing the opposite or inverse operation

·        Do that to both sides

 Equation Step One Step Two Solution 3x + 6 = 54 3x + 6 = 54                                         - 6 = - 6               3x = 48 3x  = 48                 3       3 x  = 16

Distributive Property

The distributive property means that: You get the same answer when you:

·        multiply a number by a group of numbers added together, or

·        do each multiply separately then add them

5(3x + 2) = 15x + 10  or 5(3x) + 5(2) = 15x + 10

*Make sure that BOTH the numbers inside the parenthesis get multiplied by the number outside the parenthesis.

Variables on both sides

·        Remove the x with the smaller number in front of it first

·        Solve the 2 step equation that remains

Multi-Step Equations

·        Distribute, combine like terms and solve