Abeka Algebra

For every real number x, select the statement that must be true.

Tags

CCSS.HSA.REI.A.2

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

Tags

CCSS.HSF.IF.B.4

Evelyn worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes. Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100 Range: All real numbers greater than or equal to 0 and less than or equal to 50

• Domain: {-2} Range: {100}

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50 Range: All real numbers greater than or equal to 0 and less than or equal to 100

• Domain: {100} Range: {-2}

A coach has 96 golf balls for the school’s golf team. The coach will give each player on the team 8 golf balls. The graph shows the linear relationship between y, the number of golf balls remaining for the team, and x, the number of players on the team. The coach will use no more than 6 players on the school’s golf team. Which set best represents the range of the function for this situation?

• {96, 84, 72, 60, 48, 36, 24}

• {8, 9, 10, 11, 12, 13, 14}

• {96, 88, 80, 72, 64, 56, 48}

• {0, 1, 2, 3, 4, 5, 6}

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Elijah borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after Elijah has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select TWO correct answers.

• The range of the function is the set of all real numbers.

• The domain of the function is {0, 1, 2, 3, 4, 5}.

• The domain of the function is {0, 96, 192, 288, 384, 480}.

• The domain of the function is the set of all real numbers.

• The range of the function is {0, 96, 192, 288, 384, 480}.

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

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

Tags

CCSS.HSF.IF.B.4

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}