Math Review : Math Review A review of math needed for Physics
Objective: : Objective: The student will be able to:
Perform math operations using the order of operations
Add, subtract, multiply and divide fractions
Write equations from word problems
Simplify equations by combining like terms
Multiply polynomials
Solve single variable equations
Use substitution to find numerical solutions for equations with multiple variables
Solve triangles using the Pythagorean theorem
Order of operations: : Order of operations:
Fractions : Fractions Add/Subtract
common denominator
Multiply
multiply numerators and multiply denominators
Divide
invert and multiply
Fraction Practice : Fraction Practice
Equations from word problems : Equations from word problems If a paper costs 25 cents, how much would 3 papers cost?
How much for 4?
How much for 10?
How much would n papers cost?
Cost = 25n
If $200 dollars was split between 4 people, how much would each person get?
What if it were 5 people?
What if it were x people?
Amount=$200/x
Equations from word problems (cont) : Equations from word problems (cont) How would you write an equation to express 12 more than any number?
12 + z
How would you write an equation to express 25 less than any number?
C – 25
Like terms : Like terms If you had 2 apples and your friend had 3 apples, how many apples do you have all together?
What if your friend had 3 oranges? What could you say then?
Can’t combine because they are different
Same with math
Like Term Practice : Like Term Practice
Multiply Polynomials : Multiply Polynomials You may remember FOIL (first outer inner last)
It is better known as the Distributive property
For example:
Solving equations : Solving equations What you do to one side you HAVE to do to the other!!!!
Steps
Circle the variable Ask is “Anything like it anywhere?” (Combine)
Ask “Anything being added or subtracted from it?”
Do the opposite (Both sides!!!!)
Ask “Is it being multiplied or divided by anything?”
Do the opposite
Is it all alone now? Then you are done!
Equation Solving Practice : Equation Solving Practice
Substitution : Substitution Variables just represent numbers.
If we are given the variables, then we can plug and chug
For example:
Pythagorean Theorem : Pythagorean Theorem What is the Pythagorean theorem?
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
For example:
In summary : In summary We have discussed examples of various math operations that you must be familiar with.
Even you have problems with anything we have discussed, PLEASE see me.
We will use trig functions, but we will cover those when we get there.