Manipulating and Solving Equations

Question 1

1st and 2nd step of solving an equation w/ variables

Answer 1

1. Factor/Distribute terms

2. Combine like terms

Question 2

1st & 2nd step of solving an equation w/ a √

Answer 2

1. Isolate the √

2. Square both sides

Question 3

Imp. to remember for rooting both sides of an equation

Answer 3

The +/- (only applies to equations or questions with variable)

Question 4

First step in solving: (a/b)=(c/d)

Answer 4

ad=cb

Question 5

Multiplication w/ equations w/ complicated expressions

Answer 5

1. Replace the complicated expressions with one unit (A for instance)
2. Solve equation with A
3. Plug in the complicated expression for A
4. Solve

Question 6

General steps in solving ANY equations

Answer 6

1. Look what the question is asking
2. Find the easiest way to find the answer
3. Solve

Question 7

Solve very complicated no calc/choice equation given little time

Answer 7

1. Plug in -1/0/1/2

2. If not the answer, continue guessing other #s

Question 8

Solve for e when a(x^2)+b(x)+c=a(x^2)+ye(x)+de, where everything except for x and e are defined

Answer 8

1. Match up the coefficients of the equation
   1a. Since a is equal to each other in both sides, b=ye and c=de
2. Therefore, e=b/y=c/d

Question 9

1st step for (a/b)+(c/d)=e

Answer 9

1. (a/b)(d)+(c/d)(b)=(ad+cb)/bd
2. ad+bc=ebd
   G: get rid of denominator