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Algebra 1

1.3.5 Practice

Algebra 11.3.5 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 - 2, use the following scenario to identify the equation described.

Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and charges $0.05/minute for calls. Company B has a monthly fee of $5 and charges $0.10/minute for calls.

1. Find the model for the entire  cost, c ,  when Company A’s plan is used for m minutes.

  1. c = 5 + 0.05 m
  2. c = 20 + 0.10 m
  3. c = 5 + 0.10 m
  4. c = 20 + 0.05 m
2. Find the model for the entire cost, c , when  Company B’s plan is used for m minutes.
  1. c = 5 + 0.05 m
  2. c = 20 + 0.10 m
  3. c = 5 + 0.10 m
  4. c = 20 + 0.05 m
3. If a carpenter sawed a 10-ft board into two sections and one section was n ft long, how long would the other section, S, be in terms of n ?
  1. S = 10 2 n
  2. S = 10 − 2 n
  3. S = 10 − n
  4. S = 10 n

Use the table below for problems 4 and 5:

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.

Number of
Teaspoons;

Number of
Tablespoons

Number of
Cups
a. ____ b. ____

2

36

12

 c. ____
d. ____

48

3

4. For each of the missing spaces in the table above, a-d, select the missing value that helps complete the table.

a.________
  1. 144
  2. 96
  3. 64
  4. 32
  5. 3 4
b.________
  1. 144
  2. 96
  3. 64
  4. 32
  5. 3 4
c.________
  1. 144
  2. 96
  3. 64
  4. 32
  5. 3 4
d.________
  1. 144
  2. 96
  3. 64
  4. 32
  5. 3 4
5. Choose the equation that represents the number of teaspoons, t, contained in a cup, C.
  1. c = t 3
  2. c = t − 48
  3. c = t 48
  4. c = 48 t
6. The volume of dry goods, like apples or peaches, can be measured using bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts.
What is the relationship between the number of bushels, b, and the number of quarts, q? ;
  1. b = 32 q
  2. b = q 64
  3. b = q 12
  4. b = q 32
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