Transcript Multiplying Polynomials and Special Products of Binomials 1

Solving Equations and
Inequalities
1-7 and 1-8
English Casbarro
Unit 1 : Relations and Functions
Warm-up: Solve the following problems.
1.
q
-36 =
4
3. Solve the formula
for n.
2. The sum of the angle measures of a
triangle is 180°. Find the measure of
each angle.
(x – 1)°
pV = nRT
(5x – 3)°
4. Solve for x.
x
9
=
4
12
5. Solve the following system:
x + 2y = 3
4x - 2 y = 7
(5x – 3)°
1-5: Solving Equations

The most important thin to remember is to “isolate” the
variable.

Everything that has been done to the variable has to be
“undone” by you.
Ex. x + 5 = 8
[the only thing that has been done to x is add 5
to “undo” it, you will subtract 5 from both
sides, to get x = 3]
All problems are the same!
All equations start with these basics, and then get more complicated. The
good news is that you will use the same steps to solve problems no matter
how complicated the problems get.
Try these:
Literal Equations
 These are equations where you are
ending up with a new equation solved
for a particular variable (like warm-up
question #3)
 You will still follow the rules of
“undoing” everything to “isolate the
variable” that you need.
A lot of the literal equations you are asked to solve will be
formulas.
1-8: Solving Inequalities
 If you know how to solve equations, you
know how to solve inequalities.
 The difference in the two is that a solution
to an equation is one particular number;
the solution to an inequality is a whole
range of numbers.
 Sometimes, you must graph the answer to
an inequality on a number line.
 If you multiply or divide an inequality by a
negative sign, you must switch the
inequality symbol.
After you have solved an inequality, you can graph the solution set as
in the examples below.