8/16/2019 Int Notes Handout 01.02 Solve Equations 2-Step

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Integrated Math Notes: Solving Two-Step Equations II

Obj: Solve two-step equations (part 2!

(It is i"portant to re"e"ber when solving equations that #EM$%S does

not appl&! In 'at) not onl& do we use opposite operations) but also the

regular order o' operations is reversed*

E+a"ple ,

Solve and he the equation:

./

2.=

−w

Solution

 Note: Sine the 'ration bar goes all the wa& aross) we multiply first!

/

2.

/

w−

×

  . / 0irst Multipl&= × ⇐

2.w−   12

2.

=

+   2. Then %dd

,,w

+ ⇐

=

3he:

 

,, 2..

/

−=

 12

. 0irst Subtra(t

/= ⇐

  . 4 .     ⇐ Then $ivide

E+a"ple 2

Solve and he the equation:

/ 5 6n 4 51!

Solution

(7uestion: 8hat operation should we use to anel the /9

%nswer: %t 'irst glane) it loos lie we should be adding! ut the

"inus sign does not go with the /! Sine the / is positive) we will

subtrat!

8/16/2019 Int Notes Handout 01.02 Solve Equations 2-Step

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Integrated Math Notes: Solving Two-Step Equations II

/ 6 1

/

n− = −

−   /− 

 Note that the "inus sign goes with the nu"ber after it) the 6) not the /!

6−   ,;6

n   = −

−   6− 

,>==

+v

Solution

> = ,>

>

v +×   ,= >

= ,>v

= ×

+   /=

,>

=

−   ,>

=

−

>/

=

v   =

=

,1v   =

3he:

( )= ,1 ,> ,=>

+

=

,=>

,>>/=

+

,=>

/==

,= 4 ,=  

#roble" 2

8/16/2019 Int Notes Handout 01.02 Solve Equations 2-Step

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Integrated Math Notes: Solving Two-Step Equations II

Solve and he the equation:

. 5 ;n 4 51,!

Solution

. ; 1,

.

n− = −

−   .

;

−

−   /

;

n  = −

−   ;

,>n

−

=

3he:

. 5 ;(,> 4 51,

  .

 5 / 4 51,

 51, 4 51,