2024 SAT Standardized Test Math Practice Paper 20

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 represents the statement “the sum of the squares of x and y is equal to the square root of the difference of x and y”?

A. x² + y² = ​\( \sqrt[]{x-y} \)
B. x2 − y2 = ​\( \sqrt[]{x+y} \)
C. (x + y)2 = ​\( \sqrt[]{x}-\sqrt[]{y} \)
D. ​\( \sqrt[]{x+y} \)​= (x − y)²

Correct Answer: A

Answer Explanation:

Take it one phrase at a time. The “sum” means you will add two things. The “squares of x and y” means to square x and square y, or x² and y². Add these to get x² + y². Cross out any choice that does not have x² + y² as the first part of the equation. Only (A) is left.

2. If a = −2, then a + ​\( a^2 \)​ − ​\( a^3 \)​ + ​\( a^4 \)​ − ​\( a^5 \)​ =

A. −22
B. −18
C. 32
D. 58

Correct Answer:D

Answer Explanation:

Sat math 20 1

3.

\( \frac{1}{8}+\frac{1}{10}=\frac{a}{b} \)

In the equation above, if a and b are positive integers and ​\( \frac{a}{b} \)​is in its simplest reduced form, what is the value of a ?

A. 2
B. 9
C. 18
D. 40

Correct Answer:B

Answer Explanation:

The lowest number that both 8 and 10 are factors of is 40. Convert the fractions to a denominator of 40: ​\( \frac{5}{40}+\frac{4}{40}=\frac{9}{40} \)​+ = . There is no factor that 9 and 40 have in common, so the fraction cannot be reduced. The number in place of a in ​\( \frac{a}{b} \)​is 9, so the answer is (B). Be careful! The value of b is in (D).

4. If 7 times a number is 84, what is 4 times the number?

A. 16
B. 28
C. 48
D. 56

Correct Answer:C

Answer Explanation:

Translate the words into  math: 7 × n = 84, and we want to know the value of 4n. 7n = 84, so n = 12, and 4n = 48, (C).

5. If 3x = 12, what is the value of ​\( \frac{24}{x} \)​?

A. ​\( \frac{1}{6} \)
B. ​\( \frac{2}{3} \)
C. 4
D. 6

Correct Answer:D

Answer Explanation:

First, solve for x. Divide both sides of the equation by 3, and you get x = 4. Then divide 24 by 4, which gives you 6, which is (D).


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