Algebra I Benchmark Review

The graph of a line is represented by the equation 3x - 12y = -108. Which value represents the rate of change of y with respect to x for the equation?

• A. 4

• B. -1/4

• C. 1/4

• D. -4

• x + 15

• x - 10

• x + 5

• x - 3

If f(x) = x² and g(x) = f(x + 6.4), what is the vertex of the graph of g?

• (6.4, 0)

• (-6.4, 0)

• (0, 6.4)

• (0, -6.4)

Which value best represents the number of toppings the two restaurants have when they cost the same amount?

• 3

• 6

• 9

• 12

• steeper

• less steep

• above

• below

A 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. Complete the statement to describe 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.

• increases

• decreases

• A. The system has one solution, (1, 2).

• B. The system has one solution, (-2, 1).

• C. The system has no solutions.

• D. The system has infinitely many solutions.

Which statement best interprets one value in the function?

• The initial deposit in the investment account was $2,300.

• The amount of money in the investment account increased by 103% each year.

• The initial deposit in the investment account was $2,369.

• The amount of money in the investment account decreases by 3% each year.