Sample One'

1
Sample One.
Method 1 Undo the operations. Remember that
your goal is to get x alone on one side of the
equation. x/3-6476 x/3-64 6476 64 ?
Undo subtraction of 64, Add 64 to both
sides. x/3 140 3 x/3 3 140
?Undo division by 3. Multiply both sides by
3.

2
.Sample One
Check? x/3 64 76 Substitution 420 for x
in the original equation. ? 420/3
64 76
140-64 76
7676 The solution is 420




3
Sample Two
Problem Solving Strategy Use an equation.
Choose a variable to represent a you do not
know. Let c the cost of each spoke.
Cost of spokes cost of
labor total bill 7c the cost of seven
spokes.? 7c7.49 9.94 7c 7.49 -
7.49 9.94 - 7.49 ?Undo addition of 7.49
Subtract 7.49 from both sides 7c
2.45
7c/7 2.45/7 ?Undo multiplication by 7.
Divide both sides by 7. c
0.35
The cost of each spoke is 0.35
4
Sample Three

• For her theme poster project, Michelle bought
  3.25 yd of fluorescent blue nylon. The price per
  yard was the same for both colors. The total cost
  of the fabric was 40.02. What was the cost per
  yard of the nylon?

• Problem Solving Strategy Use an equation, Let n
  the cost per yard of nylon. 3.25n the
  cost of the blue
  nylon 2.5n the cost of
  the hot pink nylon
• Total cost cost of blue cost of pink 40.02
  3.25n 2.5n ? combine like terms to
  simplify the right side of the equation
  
  40.025.75n 40.02
  5.75n 5.75 5.75
  6.96 n
  The cost per
  yard of the nylon is 6.96.