Practice Page
Directions: Answer these questions pertaining to algebraic equations. Check your answer.

1.
A recipe calls for three times as many blueberries
(b) as strawberries (s). Which choice represents this situation?
strawberries
Choose:
  s = 3b b = 3s sb s + b

 

2.
Express the total weight, (p), of a filled animal watering pail, if the pail weighs 12 pounds and the water weighs 8.3 pounds per gallon? [Let gallons = g.]
pail
Choose:
  p = (8.3)(12) p = 8.3g - 12
  p = 8.3g + 12 p = 12g + 8.3

 

3.
Carl is thinking of a number. He states that twice the number decreased by six is twenty-four. Which choice can be used to find Carl's number?
carl
Choose:
  2n + 6 = 24 2(n - 6) = 24
  2(n + 6) = 24 2n - 6 = 24

 

4.
A formula defines a value (v) to be one-half of the sum of three consecutive integers. Which choice represents this situation? [Let x = the first integer.]
integers
Choose:
  v = 0.5(3x) v = 0.5(x + x+1 + x+2)
  v = 0.5(x + 3) v = 0.5(x + x+2 + x+4)

 

5.
The "Bulbs On the Bay" holiday drive-through attraction charges $12 per car plus $1 for every individual, (p), in the car. Which choice represents the total cost (c) per car?
 car
Choose:
 
c = p + 12
c = 12(p + 1)
 
c = 12p + 1
c = 1•(12p)

 

6.
A cell phone charges $65 for the phone and $24 a month for the service. Which choice represents the cost (c) of the phone for the first m months?
cellphone
Choose:
  c = 12m + 89 c = (24m + 65)/12
  c = 24m - 65 c = 24m + 65

 

7.
A student receives $20 a week for lunch in school.  The cafeteria charges $3.20 for a plate lunch.  Which equation represents the amount of money, m, left after d days, assuming the student purchases the plate lunch each day?
Choose:
  m = 20 – 3.2d m = 5 (3.2d)
  m = 3.2d + 20 d  = 20 – 3.2m

 

8.
A trailer is loaded with lumber.  The weight of the empty trailer is represented as t pounds, and can hold f  linear feet of lumber when full to capacity.  If the lumber weighs 120 pounds per linear foot, which equation can determine the total weight, w, of a trailer with a full load of wood?
Choose:
 
w = f + 120t
w = 120(f + t)
 
w = 120( f - t )
w = t + 120 f

 

9.
A rough estimate of the outside temperature, t, can be found by adding forty-five to the one-fourth of the number of times a cricket chirps, c, in one minute.  Which choice can be used to find the outside temperature based upon this information?
Choose:
  t = ¼ c • 60 + 45 t = ¼ c + 45
  t = c + 45 ¼ t  = c + 45

 

10.
At the mall, a soda costs $1.95 (s), a burger costs $3.20 (b), and chips cost $2.10 (c).

Gelato is an Italian form of ice cream. A gelato booth sells small gelato cones for $2.95 each (g).
mall
a. Carlos buys a burger, a soda and chips for himself and each of his friends ( f ). Which choice represents his total cost (t), without tax ?
Choose:
  t = f (b + s + c) t = (f + 1)(b + s + c)
  t = f + 1(b + s + c) t = f (b + s + c)

b. Two of Carlos' friends do not want chips. Which choice will amend the answer to part a to reflect this change in the total cost?
Choose:
  t = f (b + s + c - 2) t = f (b + s + c - 2c
  t = (f + 1)(b + s - 2c) t = (f + 1)(b + s + c) - 2c

c. Carlos' friend Amanda, says she will pay for the herself and each of the friends to have a gelato cone. Three of the friends do not want a cone. Which choice represents Amanda's total charge (ch), without tax?
Choose:
  ch = g(f - 2) ch = (f + 1)g - 3
  ch = g(f - 3) ch = (f + 1)(g - 3)
   

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