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