Algebra EOC Review part 1

Which function can be used to model the data in this table?

• f(x) = 3x

• f(x) = x/2 - 1

• f(x) = x - 1

• f(x) = 2x - 1

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22. Which function can be used to find the nth term of the arithmetic sequence?

• f(n) = -n

• f(n) = n + 4

• f(n) = -3n + 8

• f(n) = 1/2 (n + 5) + 2

Which situation could be modeled by a function with a domain of all positive integers?

• The distance a runner has moved during a race as a function of time since the race started

• The amount of fish food required in a fish tank as a function of the number of fish in the tank

• The amount of power required to operate a computer as a function of the length of time the computer is on

• The amount of water required by animal as a function of the mass of the animal

Identify the x and y intercepts of the graphed function

• x intercept (0, -3)

  y intercept (2, 0)

• x intercept (0, 2)

  y intercept (-3, 0)

• x intercept (-3, 0)

  y intercept (0, 2)

• x intercept (2, 0)

  y intercept (0, -3)

The table defines a quadratic function

What is the average rate of change between x = -1 and x = 1?

• undefined

• -1/3

• -3

• -4

Information about the costs of three catering companies is shown in this table. Gavin can spend no more than $300 on the catering for an event. What is the greatest number of people that Gavin can have at his event without spending more than $300 on catering?

• 30

• 32

• 33

• 37

A quadratic function is shown. What is the factored form of f(x) that reveals the zeros of the function?

f(x) = x² + 8x + 15

• f(x) = (x + 4)(x + 2)

• f(x) = (x + 3)(x + 5)

• f(x) = (x + 2)(x + 6)

• f(x) = (x + 1)(x + 15)

Consider the function for cell duplication. The cells duplicate every minute.

f(x) = 75(2)^x

What do the values 75 and 2 represent in relation to the duplication of these cells?

• The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

• The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

A function is given in the table shown. Which equation represents the function in the table?

• y = 24(1.5)^x

• y = 16(1.5)^x

• y = 12x + 24

• y = 24x + 12

Which of these is NOT a function?

• (5, 3), (6, 4), (7, 3), (8, 4)

• 
• y = 3x²

•