Iowa Practice Algebra

Simplify the exponential expression:

What is the range of the part of the linear function shown?

• greater than or equal to -4

• greater than or equal to 2
  &
  less than -4

• greater than -4

  &
  less than or equal to 2

• greater than -2

Answer explanation

The range of the part of the linear function shown is from -4 to 2.

Explanation:

- The highest y-value is 2 (at the point (-3, 2)).

- The lowest y-value is -4 (at the point (3, -4)).

Therefore, the range is from -4 to 2.

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

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The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < g(x) ≤ 3

• -6 ≤ g(x) < 3

The domain and range of part of linear function r are given. x > 5 y < 2 Which graph could represent this part of linear function r?

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Grace is planning to hire a plumber for a repair project. The daily cost of hiring the plumber, y, to work x hours can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 8

• 80 ≤ y ≤ 440

• 0 ≤ x ≤ 10

• 45 ≤ y ≤ 685

Avery is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y, the number of flowers used, and x, the number of bouquets.

Avery will use no more than 8 bouquets for the wedding. Which set best represents the domain of the function for this situation?

• 0, 2, 4, 6, 8, 10

• 0, 1, 2, 3, 4, 5, 6, 7, 8

• 0, 18, 36, 54, 72, 90

• 0, 9, 18, 27, 36, 45, 54, 63, 72

Aiden sprinted at a constant rate. The part of the linear function shown represents the distance Aiden sprinted in yards, y, as a function of the time in seconds, x.

What is the range of the function for this situation?

• 0 ≤ y ≤ 9

• 0 ≤ x ≤ 9

• 0 ≤ y ≤ 80

• 0 ≤ x ≤ 80

Scarlett rode a bike from school to a recreation center. The graph shows Scarlett’s distance in miles from the recreation center after riding the bike for x minutes.
What is the range of the function?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers less than or equal to 28

• All real numbers less than or equal to 9

James is training for a weightlifting competition. He has a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

• {0, 1, 2, 3, 4, 5, 6}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}