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 the product of x and y is 76, and x is twice the square of y, which of the following pairs of equations could be used to determine the values of x and y ?

A. xy = 76

x = 2y²

B. xy = 76

x = (2y)²

C. x + y = 76

x = 4y²

D. xy = 76

x = 2y

2. If – 6 < – 4r + 10 ≤ 2, what is the least possible value of 4r + 3 ?

A. 2

B. 5

C. 8

D. 11

3. How many solutions exist to the equation |x| = |2x – 1| ?

A. 0

B. 1

C. 2

D. 3

4. The length of a certain rectangle is twice the width. If the area of the rectangle is 128, what is the length of the rectangle?

A. 4

B. 8

C. 16

D. 21\( \frac{1}{3} \)

5. If xy < 0, which of the following must be true?

I. x + y = 0

II. 2y – 2x < 0

III. x² + y² > 0

A. I only

B. III only

C. I and III

D. II and III