2024 SAT Test Math Practice 2


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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.

Math 11 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

Correct Answer: A

Answer Explanation:

Label the congruent angles, ∠ABC and ∠CDE, as such. In order to find the measure of those angles, use the formula 180(n – 2), where n is the number of sides, to determine the sum of the interior angles of the figure. Because the figure has five sides, plug 5 in for n to get 180(5 – 2), or 180(3), which equals 540. Subtract 120 to get 420. Subtract 100 to get 320. Subtract 40 to get 280. Since the two remaining angles are congruent, divide by 2 to find that the two unlabeled angles are both equal to 140. Because ∠ABC and ∠BCD have a combined measure of 180, AB and CD are parallel. Therefore, (A) accurately describes the relationships in the figure.

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2. For which of the following values of w does
Math 11 2？

A. 2
B. 3
C. 4
D. 6

Correct Answer: B

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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

Correct Answer: C

Answer Explanation:

Math 11 3

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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

Correct Answer: C

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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

Correct Answer: D

Answer Explanation:

Whenever there are variables in the question and in the answers, think Plugging In. Let d = 2. For $1 the air pump dispenses 90 × 4 = 360 pounds of air. Therefore, for $2 the air pump will dispense 360 × 2 = 720 pounds of air. Plug in 2 for d in the answer choices to see which answer equals 720. Choice (A) becomes P = 2 + 90 = 92. Eliminate (A). Choice (B) becomes P = 2 + 360 = 362. Eliminate (B). Choice (C) becomes P = 90(2) = 180. Eliminate (C). Choice (D) becomes P = 360(2) = 720. Therefore, the correct answer is (D).

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