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 equations has a vertex of (3, -3) ?

A. y = 5(x – 3)² – 3

B. y = 5(x + 3)² – 3

C. y = 5(x – 3)² + 3

D. y = 5(x + 3)² + 3

2. A beverage store charges a base price of x dollars for one keg of root beer. A sales tax of a certain percentage is applied to the base price, and an untaxed deposit for the keg is added. If the total amount, in dollars, paid at the time of purchase for one keg is given by the expression 1.07x + 17, then what is the sales tax, expressed as a percentage of the base price?

A. 0.07%

B. 1.07%

C. 7%

D. 17%

3. Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of \( \frac{1}{3} \)of the original advanced amount along with a wire transfer fee of $30.00. Which of the following represents the final advanced amount that Syed receives after all applied fees, in dollars?

A. \( \frac{1}{3} \)d – 30

B. \( \frac{1}{3} \)(d – 30)

C. \( \frac{2}{3} \)(d – 30)

D. \( \frac{2}{3} \)d – 30

4. What is the equation of a line that contains the point (1, 6) and has a y-intercept of 4 ?

A. y = \( \frac{1}{2} \)x + 4

B. y = x + 4

C. y = 2x + 4

D. y = 4x + 2

5. The number of bonus points, B(p), that a credit card holder receives is given by the function B(p) = 4p + 7, where p represents the number of purchases made. If the number of purchases is increased by 3, by how much does the number of bonus points increase?

A. 3

B. 4

C. 12

D. 19