Chapter 4

LINEAR EQUATIONS IN ONE VARIABLE

This chapter explores basic linear equations—equations with degree one—

that are expressed in terms of a single, unique variable. Unlike the expres-

sions of Chapter 3, equations are complete algebraic sentences, statements

that express the equality of two expressions that are separated by an equal

sign.

The difference between an expression and an equation can be

expressed in two words: equal sign. Expressions don’t have them but

equations do. That one little symbol makes a huge difference. For

one thing, your overall goal is different. You spent most of Chapter 3

simplifying equations, writing the same expression in a different, usually

shorter, way. Equations are easier to deal with than expressions,

because you actually get a tangible numeric answer, one that you

can go back and check to make sure you got it right.

In this chapter, you start out with basic equation–solving techniques,

and they’ll slowly evolve, becoming more and more complicated. By

the end, you should be able to solve just about any equation they

throw at you, if there’s only one unique variable is in the equation

(like x) and that variable is only raised to the rst power.

H

o

w

t

o

s

o

l

v

e

b

a

s

i

c

e

q

u

a

t

i

o

n

s

Start Free Trial

No credit card required