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.

Note: Figure not drawn to scale.

In the figure above, ∠ABC ≅ ∠CDE. Which of the following is true?

A. AB || CD

B. BC || AE

C. CD || AE

D. BC ≅ AE

2. For which of the following values of w does

？

A. 2

B. 3

C. 4

D. 6

3. If r = (\( \frac{1}{2} \)a + b)² and s = -4ab + 3b, what is r – 2s in terms of a and b ?

A. \( \frac{1}{4} \)a² + b² – 7ab – 6b

B. \( \frac{1}{4} \)a² + b² – 7ab + 6b

C. \( \frac{1}{4} \)a² + b² + 9ab – 6b

D. \( \frac{1}{2} \)a² + b² + 9ab – 6b

4. Which of the following lines contains all points equidistant from the points (0, 4) and (8, 0) in the xy-plane?

A. 2y = -x + 8

B. 2y = x

C. y = 2x – 6

D. y = -2x

5. An air pump at a gas station dispenses 90 pounds of air for $0.25. Which of the following expressions gives the number of pounds of air dispensed, P, for d dollars?

A. P = d + 90

B. P = d + 360

C. P = 90d

D. P = 360d