Algebra Review EOY

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50. Which inequality represents all possible combinations of (x), the number of monitors, and (y), the number of keyboards, the university can buy for the computer lab?

• 250x + 50y < 4500

• 250x + 50y ≤ 4500

• 50x + 250y < 4500

• 50x + 250y ≤ 4500

The graph of quadratic function r is shown on the grid. Which answer choice best represents the intercepts of the graph of r?

• x-intercept: (5, 0)

• x-intercept: (0, -10) and (0, 2), y-intercept: (-5, 0)

• x-intercept: (0, 5), y-intercept: (10, 0) and (-2, 0)

• x-intercept: (-10, 0) and (2, 0), y-intercept: (0, -5)

The worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time. Refer to the table provided to answer the following question: Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

• The worker packed 8 items in boxes per minute.

• The worker packed 37 items in boxes per minute.

• The worker packed 4 items in boxes per minute.

• The worker packed 15 items in boxes per minute.

A system of equations is graphed on the grid. Which system of equations is best represented by the graph?

• y = 2/5x - 8

  y = -3/5x - 3

• y = 2/5x - 3

  y = -3/5x - 8

• y = 2/5x - 8

  y = -5/3x - 3

• y = 5/2x - 3

  y = -5/3x - 8

The value of y is directly proportional to the value of x. When x = 512, y = 128. What is the value of y when x = 64?

• 256

• 32

• 16

• 8

An exponential function is graphed on the grid. Which function is best represented by the graph?

• p(x) = (0.25)^x

• p(x) = 2(0.5)^x

• p(x) = (1.25)^x

• p(x) = (25)^x

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² - 1?

• A: A vertical shift up

• B: A horizontal shift to the left

• C: A vertical shift down

• D: A horizontal shift to the right

The graph of a linear function is shown on the grid. Which equation is best represented by the graph?

• y = -7/4x + 4

• y = -7/4x + 7

• y = -4/7x + 4

• y = -4/7x + 7

A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The florist 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}

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x for this line?

• 5/2

• -6/5

• 2/3

• -5/6