Checkpoint 2 Review

Front

What does the function r(x) = 12(x + 3) represent in terms of a student's reading habits?

Back

The function r(x) represents the total number of fiction and nonfiction books a student reads in a calendar year by reading x fiction books and 3 nonfiction books each month.

Front

What does r(9) = 144 represent?

Back

The student reads 9 fiction books each month and reads a total of 144 nonfiction and fiction books during the calendar year.

Front

What is the solution to the inequality \( \frac{(2x+1)}{5} < \frac{(x-4)}{2} \)?

Back

x > 22

Front

What does the system of inequalities y < \frac{1}{3}x + 5 and y ≥ -2x - 3 represent graphically?

Back

The shaded region in graph D represents the solution set to the system of inequalities.

Front

For which value of x must f(x) = g(x) have a solution if graphed?

Back

x = 2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the formula for the area of a square with side length x?

Back

The area of a square is given by the formula A = x^2.

Front

What is the formula for the area of an isosceles triangle with base x and height 2x?

Back

The area of the triangle is given by A = \frac{1}{2} \times base \times height = \frac{1}{2} \times x \times 2x = x^2.

Front

What is the interior angle sum of a triangle?

Back

The interior angle sum of a triangle is always 180 degrees.

Front

What is the formula for the volume of a cube with side length x?

Back

The volume of a cube is given by V = x^3.