2025 Algebra State Test Review

What is the value of this expression given below, when a = 9, b = 16, and c = -4?

$$5\sqrt{\ a}-c\sqrt{\ b}+9$$

Frank works at a convenience store.

• - He earns $7.50 per hour when he works during the day.

• - He earns $12.50 per hour when he works at night.

• - He wants to earn at least $300 per week.

which graph best represents this situation?

A square with a side length of x inches is shown.

The equation y = 4x represents the relationship between the side length, x, and the perimeter, y, of the square in inches. Which statement states the correct domain and range of this relationship?

A function f is described.

$$f\left(x\right)=\left(x-2\right)^2+3$$

The domain of the f is all real numbers greater than 0.

The range of, f, is all real numbers greater than or equal to ____?

The graph of the function f(x) is shown on the coordinate plane.

Which of these points is a solution of y = 3f(x)?

Which table represents $$y\ =\ \left(x+5\right)^2$$ ?

Each table represents values from four different functions.

Which tables could represents an exponential function?

The principal at Washington High School investigated the relationship between a student’s cell phone use and the student’s grade point average, GPA. The table shows a sample of the data collected by the principal.

Based on the data in table, what relationship does the data have based on the correlation coefficient?

The table shows the number of months used and the approximate distance driven, in miles, for six buses in a school district.

Using the line of best fit for the data, which value is the best prediction of the distance driven, in miles, by a bus that has been used for 40 months?

A student started to solve a quadratic equation by completing the square. The first step the student's work is shown below:

$$x^2+16x=12$$

Complete the next step by selecting the correct numbers from the drop down menus.

(x - ​ ​ (a)   )² = ​ (b)   + 12