MATH 111 Lecture Notes - Lecture 1: Memory Stick, Cross Product, American Broadcasting Company
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1.) Linear Equations- Solve 1.1, 8/20/2018
-3(w-4)+5=10-(w+1) w=unknown (distribute)
If it has an equal sign we know it is an equation and we solve equations.
-3w+17=9-w (move the variable to the same side)
-2w+17=9 (move all the numbers to the same side)
(m-2)/5-(m-4)/2=(m+5)/15+2 (linear because the variable isn’t in the denominator)
30 (m-2/5 – m-4/2)= 30 (m+5/15 +2)
Then distribute, combine like terms, and simplify
6m-12-15m+60=2m+10+60 Always do the opposite of what we are doing to simplify things
Ex. A couple needs to decide whether to buy a used car for $8,000 or lease a new car for an
initial down payment of of $2,500 followed by 36 monthly payments of $225.
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A.) Write a model for the cost C in dollars to lease the car for T months.
B.) After how many months will the cost to lease the new car be equal to the cost to buy a used
+=# of months
2. Solving Rational Equations *rational bc X is in the denominator
Ex. Solve- *checking is mandatory here
9/x=3/1 *cross multiply (cross product a/b=c/d)
Ex. Solve and Check
x/(x-4)=4/(x-4)-4⁄5 (factored?) LCD= 5(x-4)
5x/5(x-4)=20/5(x-4)-4(x-4)/5(x-4) LCD becomes the new denominator
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