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

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Presentation transcript:

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

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

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

 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

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

 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 *

 With Decimals  Solve like regular equations  Ex: x = x = x = ?

 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

 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

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

 Ex: 4x + 4 = 2x + 36

 X = 16

 Ex: b = -8b + 13

B = 2

 Ex: 4 (3 – y) = 2y + 16

Y = 2 2/3

 Ex: 3 (2g – 0.3) = g

G = 2.9

 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

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

 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

 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

 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

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