1. do inverse operation a. 1 st undo addition or subtraction b. 2 nd undo multiplication or...

1. Do inverse operationA. 1st undo addition or subtractionB. 2nd undo multiplication or

division

Combine like terms before solving an equation

Ex: 2x + 7 + x = 16 3x + 7 = 16

Consecutive Integers -when you count by 1s from any

integer

Ex: 3 consecutive integers120,121,122 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 * 5 4 5 4

With Decimals

Solve like regular equations

Ex: 20 + 1.5x = 37.5 -20.0 1.5 x = 17.5 1.5 1.5 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 = -18 -2 -2 5a = -20

5 5 a = 4

Ex:

4x + 4 = 2x + 36

X = 16

Ex:

-15 + 6b = -8b + 13

B = 2

Ex:

4 (3 – y) = 2y + 16

Y = 2 2/3

Ex:

3 (2g – 0.3) = 19.4 - 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—1st 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 Interest principal

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