2.  1. Do inverse operation  A. 1 st undo addition or subtraction  B. 2 nd undo multiplication or division

3.  Combine like terms before solving an equation  Ex: 2x + 7 + x = 16 3x + 7 = 16

4.  Consecutive Integers -when you count by 1s from any integer Ex: 3 consecutive integers 120,121,122 or -5,-4,-3

5.  Distribute # on the outside of the ( ) to all parts inside the ( ) by multiplying by that #  Ex: 5 (a + 4) = 5a + 20  Ex: 3 (6b – 2) = 18b - 6

6.  1—use distributive property if needed  2 -- combine like terms  3 – undo + or –  4 – undo x or ÷

7.  With Fractions:  Remember – when the coefficient of a variable in an equations is a fraction, multiply by the reciprocal to solve  Ex: 5 * 4 a = 2 * 5 4 5 4

8.  With Decimals  Solve like regular equations  Ex: 20 + 1.5x = 37.5 -20.0 1.5 x = 17.5 1.5 1.5 x = ?

9.  You are organizing what you know and what you want to find out into a math statement  Represent what you want to find out with a variable

10.  Remember: you are trying to get all variables to one side and all numbers to the other side  You do this by addition or subtraction  Sometimes you have to use the Distributive Property to simplify  Then you do inverse operations to isolate the variable in order to solve

11.  Ex: 9a + 2 = 4a – 18 -4a -4a 5a + 2 = -18 -2 -2 5a = -20 5 5 a = 4

12.  Ex: 4x + 4 = 2x + 36

13.  X = 16

14.  Ex: -15 + 6b = -8b + 13

15. B = 2

16.  Ex: 4 (3 – y) = 2y + 16

17. Y = 2 2/3

18.  Ex: 3 (2g – 0.3) = 19.4 - g

19. G = 2.9

20.  Solved the same as 2-step equations  Remember:  If you are multiplying or dividing by a negative number change the sign to the opposite direction

21.  A formula shows the relationship between 2 or more quantities  You can transform formulas to solve real-world problems

22.  Steps  Move the parts to solve for the unknown variable by add/subtract/multiply/divide  Follow the order for solving equations  Use the distributive property when needed

23.  Vocabulary  Principal—1 st deposit of money into savings account  Interest– money the bank pays you because they invested the money  Interest rate-- % of money invested  Simple interest– interest paid only on the principal  Compound interest– money the bank pays because of interest on the principal and interest the account earned  Balance– principal plus interest

24.  Formula for finding simple interest  I = p * r * t time  rate  Interestprincipal  Time can also be written as a fraction over 12 if the period is less than a year

25.  Formula for compound interest  B = p (1 + r ) n number of interest periods  rate  Principal