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. If \( 0<1-\frac{a}{3}≤\frac{1}{2} \)which of the following is not a possible value of a?
A. 1.5
B. 2
C. 2.5
D. 3
2.
If the system of inequalities shown has no solution, what is the value of k?
A. 1
B. 2
C. There is no value of k that results in no solution.
D. There are infinitely many values of k that result in no solution.
3.
\( \frac{4x}{x-7}+\frac{2x}{2x-14}=\frac{70}{2(x-7)} \)
What value(s) of x satisfy the equation above?
A. 0
B. 7
C. No solution
D. Any value such that x ≠ 7
4.
The circle shown is given by the equation x2 + y2 + 6x – 4y = 12. What is the shortest distance from A to B?
A. 5
B. 10
C. \( 4\sqrt[]{3} \)
D. 24
5. If g is a function defined over the set of all real numbers and g(x – 1) = 3x² + 5x – 7, then which of the following defines g(x)?
A. g(x) = 3x² – x – 9
B. g(x) = 3x² + 5x + 1
C. g(x) = 3x² + 11x + 1
D. g(x) = 3x² + 11x – 6
