1. Do inverse operation A. 1 st undo addition or subtraction B. 2 nd undo multiplication or...
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Transcript of 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