TCAP Algebra I Item Releases Spring 2023 and 2024

Franco owns an ice cream store. He claims that the sales of ice cream are affected by the weather. He studies his sales, and makes a scatter plot of his data. Which quantities are the best choices for the x- and y-values on the graph?

• x = the day of the year, y = the yearly sales to date

• x = the daily sales of ice cream, y = the total number of customers

• x = the high temperature for the day, y = the daily sales of ice cream

• x = the average temperature for the date, y = the average profit per customer

The sale price of a jacket is represented by the expression x - 0.2x. Which statement(s) about the expression is/are true.

• The sale price is 20% less than the original price.

• The original price of the jacket is X.

• The sale price is 20% of the original price.

• The amount of discount is represented by 0.2x.

• -6

• -1

• 0

• 1

• 6

• -6

• -1

• 0

• 1

• 6

• -6

• -1

• 0

• 1

• 6

The graphs of f(x) = −| − 2x| + 3 and g(x) = 1.2x – 0.2 are shown. What are the solutions to f(x) = g(x)? Select the two correct answers.

• -5

• -4

• 0

• 1

• 3

The graph below shows the revenue, r, a landscaping contractor earns for each hour worked, h. Which statements are true about the contractor's business based on the domain of this graph? Select the two correct answers.

• The contractor only works in whole integer hours

• The contractor earns at least $50 in revenue per job.

• The contractor does not work less than one hour at a time.

• The range of the graph of the function is all positive integers.

• The domain of the graph of the function is all positive real numbers.

• The graph of f (x) is shifted 5 units up from the graph of g(x).

• The graph of g(x) is shifted 5 units up from the graph of f (x).

• The graph of f (x) is shifted 5 units to the right of the graph of g(x).

• The graph of g(x) is shifted 5 units to the right of the graph of f (x).

• The number 256 represents the decay rate of the function.

• The number 256 represents the growth rate of the function.

• The expression 1 − b represents the decay rate of the function.

• The expression 1 − b represents the growth rate of the function.