Algebra I

A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining. Which value best represents the rate of change of the volume of water in the fish tank with respect to time?

• -6 L/min

• 6 L/min

• -1/6 L/min

• 1/6 L/min

The graph of a linear function is shown on the coordinate plane. Which function best represents the relationship shown in the graph?

• y = 2x - 4

• y = 2x + 2

• y = 1/2x - 4

• y = 1/2x + 2

• The zeros are ± 2/3 because f(x) = 3(2x - 3)(2x + 3).

• The zeros are ± 3/2 because f(x) = 3(2x - 3)(2x + 3).

The graph of a linear function is shown. What are the slope and the y-intercept that best represent this linear function? Select the correct answer for each box. Each answer may be used more than once. Not all answers will be used.

• C: -0.5

• E: 2

• D: 0.5

• B: -2

• A: -4

The graph of a quadratic function is shown on the grid. Which statement is best supported by the graph?

• A) The function has a zero at 6.

• B) The minimum value of the function is 9.

• C) The vertex of the graph is (9, -3).

• D) The equation of the axis of symmetry of the graph is x = -3.

New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years. Houses in Neighborhood | Year, x | Number of Houses, f(x) | |---------|------------------------| | 1 | 27 | | 2 | 35 | | 3 | 45 | | 4 | 68 | | 5 | 93 | | 6 | 124 | Which exponential function best models the data?

What is the solution to 10 - 3(m - 5) = 2(5 - m)?

• 15

• 5

• 10

• 25

A system of linear equations is shown. x - 3y = 7 x - 2y = 2 What is the value of x in the solution to this system of equations?

• 5

• -5

• 8

• -8