To solve equations with multiple steps, we combine like terms, use

Solve the following equation by combining like terms first: Solve the following equations by using the distributive property: Focused on Learning. Lis...

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 [ PACKET

3.3: SOLVING MULTI-STEP EQUATIONS ]

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Write your questions here!

Inverse Operations:

  ng ni s ar ne Le ho on dp a d e H se es t u h o c t Fo en w i with N rn t Lis erac t to Le a ed ! dy k rs t n I c tice C hec nsw e e Re a r A a u’ o Pr ble ms your l Y o Pr lua te t un ti a s Ev ’ t Te on

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To  solve  equations  with  multiple  steps,  we  combine  like  terms,   use  reciprocals,  apply  the  distributive  property  and  use  inverse   operations.    

Combine like-terms, first, if possible!

Always  try  to  simplify  before  solving,  if  possible!  

 

   Solve  the  following  equation  by  combining  like  terms  first:                      Solve  the  following  equations  by  using  the  distributive  property:                                                                                            

 [ PACKET

3.3: SOLVING MULTI-STEP EQUATIONS ]

Now, summarize your notes here!

  Solve  the  following  equations  by  using  a  reciprocal:                     There  are  several  ways  to  solve  this  equation.    You  decide  for   yourself  the  best  method:      

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Algebra 1

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Practice 3.3 .N

Solve each equation. 1) xx

2) m

3) aa

4) x

5) (x)

6) ( p)

7) (k)

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8) 

-3-

 (x) 

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9) (v)

10) (n)

11) (a)

12) (a)a

13) (n)

14) 

 (n) 

15) (b)

16) (v)

17) (n)

18) (x)

-4-

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 [PACKET  3.3:  SOLVING  MULTI-­‐STEP  EQUATIONS]   5

Application And Extension Solve  the  following  equations  for  the  unknown  variable:  

1.  

! !

𝑑 + 3 = 5    

 

 

2.  

       23  =  -­‐4m  +  2  +  m  

   

Target  Heart  Rate  The  target  heart  rate  is  the  heartbeat  rate  during  aerobic  exercise  that  provides  a   benefit  to  your  heart.  The  target  heart  rate  for  a  person  exercising  at  70%  intensity  is  given  by  the   equation  y  =  0.7(200  -­‐  x)  where  y  is  the  target  heart  rate  in  beats  per  minute  and  x  is  the  person’s  age   in  years.     3.  How  old  is  a  person  with  a  target  heart  rate  of  133  beats  per  minute?     4.  How  old  is  a  person  with  a  target  heart  rate  of  126  beats  per  minute?    

Quick Review

5.  Wrapping  a  Package  It  takes  70  inches  of  ribbon  to  make  a  bow  and  wrap  the   ribbon  around  a  box.  The  bow  takes  32  inches  of  ribbon.  The  width  of  the  box  is   14  inches.  What  is  the  height  of  the  box?  

1. Multiply:

2. Evaluate if x = -5 and y = -1

3 14 ∙ 2 15

-x - y

3. Simplify:        

−2 − 35 + 36   −4 + 5

Coming Up

3. Plot (3, 0) 1. Distribute: - (-x - 1)

2. Simplify:
 -x – (y – 3x)