2024 SAT Standardized Test Math Practice Paper 19

6.

Sat math 19 8

The giant swings in an amusement park are run only when completely full to maintain a fairly even distribution of weight. The number of times the swings have been run, along with a cumulative rider count, is recorded in the table above. Based on the information, how many people will have ridden the giant swings when they have been run eight times?

A. 98
B. 112
C. 140
D. 224

Correct Answer: B

Answer Explanation:

If 28 people have ridden the swings after it has been run 2 times, this means 28 ÷ 2 = 14 people ride the swings each time. Therefore, when the swings have been run 8 times, 14 × 8 = 112 people will have ridden them.

7. Which of the following expressions is equivalent to ​\( a^\frac{2}{6} \)​?

A. ​\( \sqrt[3]{a} \)
B. ​\( \sqrt[]{3a} \)
C. ​\( \frac{a}{3} \)
D. ​\( \frac{2}{a^6} \)

Correct Answer: A

Answer Explanation:

Sat math 19 9

8. A publishing company ships books to schools, some of which are hardback  textbooks and some of which are paperback workbooks. Each shipping box can hold a maximum of 20 textbooks or 64 workbooks. Each  textbook takes up 192 cubic inches of space, and each workbook takes up 60 cubic inches of space. One box can hold a maximum of 3,840 cubic inches. The shipping department is packing a box containing both types of books. Which of the following systems of inequalities can the department use to determine how many textbooks, t, and workbooks, w, can be shipped in one box?

Sat math 19 10

Correct Answer: C

Answer Explanation:

The box can hold a maximum of 20 textbooks, so the first inequality is t ≤ 20. The box can hold a maximum of 64 workbooks, so the second inequality is w ≤ 64 (eliminate D). The third inequality deals with the size of each book. The box can fit t textbooks multiplied by the size of the textbook, 192 cubic inches, and w workbooks multiplied by the size of the workbook, 60 cubic inches. The box can fit a maximum of 3,840 cubic inches total, so the last inequality is 192t + 60w ≤ 3,840.

9. A nutritionist is studying the effects of nutritional supplements on athletes. She uses the function Pi (a) to represent the results of her study, where a represents the number of athletes who participated in the study, and Pi represents the number of athletes who experienced increased performance while using the supplements over a given period of time. Which of the following lists could represent a portion of the domain for the nutritionist’s function?

A. {…-100, -75, -50, -25, 0, 25, 50, 75, 100…}
B. {-100, -75, -50, -25, 0, 25, 50, 75, 100}
C. {0, 2.5, 5, 7.5, 10, 12.5, 15…}
D. {0, 15, 30, 45, 60, 75…}

Correct Answer: D

Answer Explanation:

This is a real-world scenario, so you cannot simply use rules of functions to determine the domain. Because there cannot be a negative number of athletes or a fraction of an athlete, the list in (D) is the only one that could represent a portion of the function’s domain.

10.

Sat math 19 11

Which of the following equations could represent the graph in the figure?

A. y = x² – 4x – 4
B. y = x² + 4x – 4
C. y = x² – 8x + 16
D. y = x² + 8x + 16

Correct Answer:B


Warning: Undefined variable $in_same_cat in /www/wwwroot/mtexam.com/public_html/wp-content/plugins/EXP.GKFEED.COM/function.php on line 27

Warning: Undefined variable $excluded_categories in /www/wwwroot/mtexam.com/public_html/wp-content/plugins/EXP.GKFEED.COM/function.php on line 27

Leave A Comment?