The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

1. Let the function f be defined such that f(x) = x² – c, where c is a constant. If f(-2) = 6, what is the value of c ?

A. -10

B. -2

C. 0

D. 2

2.

The graph above shows y = 2x. Which of the following graphs represents y = |2x|?

3. The graph of line *l* in the xy-plane passes through the points (2, 5) and (4, 11). The graph of line m has a slope of -2 and an x-intercept of 2. If point (x, y) is the point of intersection of lines l and m, what is the value of y ?

A. \( \frac{3}{5} \)

B. \( \frac{4}{5} \)

C. 1

D. 2

4.

The figures above show the graphs of the functions f and g. The function f is defined by f(x) = 2x³ + 5x² – x. The function g is defined by g(x) = f(x – h) – k, where h and k are constants. What is the value of hk ?

A. -2

B. -1

C. 0

D. 1

5. If f (x) = \( \sqrt[]{3x-2} \) , what is the smallest possible value of f (x) ?

A. 0

B. \( \frac{2}{3} \)

C. 1

D. 2