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. Which of the following is equivalent to the expression \( x^4 \) – x³ – x² ?

A. x(x² – x – 1)

B. x(x – x² – x³)

C. x(x³ – x²)

D. x²(x² – x – 1)

2. Officer Blake drives his squad car 1 mile per minute while patrolling local highways during his shift. If he has driven 480 miles by the end of his shift, how many total hours did he drive his car at the above rate?

A. 8

B. 12

C. 16

D. 20

3. In the inequality 37 ≤ – 2x + 1, what is the appropriate order of steps needed to solve the inequality for x ?

A. Add 1 to both sides, divide both sides by 2, and flip the inequality sign to ≥.

B. Subtract 1 from both sides, divide both sides by -2, and flip the inequality sign to ≥.

C. Add 1 to both sides, divide both sides by -2, and keep the original inequality sign.

D. Subtract 1 from both sides, divide both sides by 2, and keep the original inequality sign.

4. What is the value of (2x² + 4x + 8) – (2x² – 4x + 7) ?

A. 4x² + 8x + 15

B. 2x² + x + 1

C. 8x + 1

D. 8x + 15

5. As part of a project for his cartography elective, Adam climbs several hills to create a relief map for the woods surrounding his house. He records the vertical heights of the five hills he climbed at 55 feet, 42 feet, 38 feet, 50 feet, and 48 feet. For his project, Adam must convert his measurements to inches. If 1 foot = 12 inches, what is the measurement, in inches, of the tallest hill Adam will have on his map?

A. 660

B. 600

C. 576

D. 456