186 algebra De mystif ieD

PRACTICE

Compute the following.

1.^4362
62

2

2

()− ()

+

2.^8325566

(^22) −−

• ()
  ()

3. 5^2 − [2(3) + 1]
   4.^821534631
   +−^22
   −+

()

()

5.^3204
29 4

58 41

(^21231613)
() 3
()
()
()

• −
  ⋅ +
  −−
  ✔SOLUTIONS

1.^4362
62

49 62

64

36 12

10

24

10

12

5

2

2

()− () () ()

+

= −

+

= − ==or (^225)

2.^8325566642595666410936025

(^22) −−

• = −−


• 
  

  = −−

  
  


• 
  

  () =
  ()
  ()
  () 116
  5
  4

  
  

3. 5^2 − [2(3) + 1] = 52 − (6 +1) = 52 − 7 = 25 − 7 = 18
   4.^82153463182911564682157
   +−^22
   −+

= +−

−

= +−

−

()

()

()

()

()

224

814

9

6

9

2

3

= −

−

=−

−

=

5. 3204
   29 4

58 41

12 31613

3204

(^229)
() 3
()
()
()
()
()

• 
  

  −
  ⋅ +
  −−
  = +
  − 116
  40 41
  12 33
  324
  18 16
  40 41
  12 9
  72
  2
  81
  3
  3
  33
  ⋅ +
  −

  
  

  −

  
  


• 
  

  −

  
  

  =
  ()
  ()
  3 36 27^3 == 36 () 3 108

  
  

Solving Linear Equations

To solve equations for the unknown, we use inverse operations to isolate the

variable on one side of the equation. These inverse operations “undo” what has

been done to the variable. That is, inverse operations are used to move quanti-

ties across the equal sign. For instance, in the equation 5x = 10, x is multiplied

PRACTICE

Compute the following.

1.^434343 ()()

PRACTICE

Compute the following.