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
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